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Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.1

You can Download Samacheer Kalvi 9th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.1

9th standard trigonometry exercise 6.1 Question 1.
From the given figure find all the trigonometric ratios of angle B.
Solution:
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 1

Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.1

9th maths trigonometry exercise 6.1 Question 2.
From the given figure, find the values of
(i) sin B
(ii) sec B
(iii) cot B
(iv) cos C
(v) tan C
(vi) cosec C
Solution:
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 2
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 3

trigonometry exercise 6.1 Question 3.
If 2 cos θ = \(\sqrt{3}\), then find all the trigonometric ratios of angle θ.
Solution:
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 4

Trigonometry solutions exercise 6.1 Question 4.
If cos A = \(\frac{3}{5}\), then find the value of \(\frac{\sin A-\cos A}{2 \tan A}\)
Solution:
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 5

trignometry solution of 9th class Question 5.
If cos A = \(\frac{2 x}{1+x^{2}}\) then find the values of sin A and tan A in terms of x.
Solution:
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 6

Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.1

Question 6.
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 7
Solution:
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 8

Question 7.
If 3 cot A = 2, then find the value of \(\frac{4 \sin A-3 \cos A}{2 \sin A+3 \cos A}\)
Solution:
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 9

Question 8.
If cos θ : sin θ = 1 : 2, then find the value of \(\frac{8 \cos \theta-2 \sin \theta}{4 \cos \theta+2 \sin \theta}\)
Solution:
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 10

Question 9.
From the given figure, prove that θ + ϕ = 90°. Also prove that there are two other right angled triangles. Find sin α, cos β and tan ϕ
Solution:
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 11
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 12
(∴ By Pythagoras theorem, in a right angled triangle square of hypotenuse is equal to sum of the squares of other two side)
And also in the figure, ∆ADC, ∆DBC are two other triangles.
As per the data given,
92+ 122 = 81 + 144 = 225 = 152
∴ ∆ ADC is a right angled triangle, then 122 + 162 = 144 + 256 = 400 = 202
∴ ∆ DBC is also a right angled triangle
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 13

Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.1

Question 10.
A boy standing at point O finds his kite flying at a point P with distance OP = 25 m. It is at a height of 5 m from the ground. When the thread is extended by 10 m from P, it reaches a point Q. What will be the height QN of the kite from the ground? (use trigonometric ratios)
Solution:
In the figure,
∆OPM, ∆OQN are similar triangles. In similar triangles the sides are in the same proportional.
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 14
Samacheer Kalvi 9th Maths Chapter 6 Trigonometry Ex 6.1 15

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 1 Sea Fever

Students can Download English Poem 1 Sea Fever Questions and Answers, Summary, Notes Pdf, Activity, Samacheer Kalvi 7th English Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 1 Sea Fever

Sea Fever Poem Line By Line Explanation By John Masefield, Sea Fever Exercise Question Answer.

Read And Understand

B. Choose the best answer

Question 1.
The title of the poem ‘Sea Fever means _________
(a) flu fever
(b) the poet’s deep wish to be at sea
(c) the poet s fear of the sea
Answer:
(b) the poet’s deep wish to be at sea

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 1 Sea Fever

Question 2.
The poet asks for _________
(a) a fishing net
(b) a big boat
(c) a tall ship
Answer:
(c) a tall ship

Sea Fever Questions Answers  Question 3.
The poet wants to lead a life at sea like _________
(a) the gulls and whales
(b) the penguins and sharks
(c) the pelicans and dolphins
Answer:
(a) the gulls and whales

C. Read the lines and answer the questions.

Question 1.
I must go down to the sea again, to the lonely sea and the sky
Where does the poet want to go?
Answer:
The poet wants to go to the sea again.

Question 2.
And the wheel’s kick and the winds song and the white sail’s shaking
What according to the poet are the pleasures of sailing?
Answer:
Will Watching from the shore, the wind’s song, the ship’s steering wheel and the shaking of the sail in the breeze are the pleasures of sailing.

Question 3.
And all I ask is a windy day with the white clouds flying
Why does the poet ask for a windy day?
Answer:
The poet asks for a windy day, as it would blow away the thick white clouds from the sky and take the sail forward throughout the day.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 1 Sea Fever

Question 4.
And all I ask is a merry yarn from a laughing fellow rover.
What kind of human company does the poet want?
Answer:
The poet wants the company of a fellow sailor or wanderer like him.

Question 5.
And quiet sleep and a sweet dream when the long trick’s over What does the poet want to do after his voyage is over?
Answer:
The poet wants to sleep soundly with pleasant dreams at the end of his long shift on watch.

D. Poem Appreciation

Question 1.
Fill in the blanks with correct rhyming words from the poem.
Answer:
sky – by, knife – life. rover – over.

Question 2.
Quote the line that has been repeated in the poem.
Answer:
“I must go down to the seas again”.

Question 3.
Write the poetic device which is used in the line below.
And a grey mist on the sea’s face _________
Answer:
Imagery and personification.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 1 Sea Fever

Question 4.
What poetic device is used for the comparison in the below line?
Where the wind’s like a whetted life _________
Answer:
Simile

E. The poem has many visual and sound images. Complete the table with examples from the poem. The first one has been done for you.
Answer:

Visual images Sound images
Wheels kick Wind s song
white sail’s shaking wild call
grey dawn clear call
running tide windy day
white clouds flying
blown spume
sea – gulls crying

Sea Fever Additional Questions

I. Poem Comprehension:

Question 1.
And all I ask is a tall ship and a star to steer her by;
What does the word ‘her’ refer to?
Answer:
‘Her’ refers to the tall ship.

Question 2.
To the gulls way and the whales way where the wind’s like a whetted knife;
What is like a whetted knife?
Answer:
The wind is strong like a whetted knife.

II. Poetic Devices:

Question 1.
I must go down to the seas again, to the lonely sea and the sky,
Pick out the alliterated words.
Answer:
sea –sky are the alliterated words.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 1 Sea Fever

Question 2.
And the wheel’s kick and the wind’s song and the white sail’s shaking,
What poetic device is used here?
Answer:
Personification : The wind, the wheel and the white sail are given the human qualities.

Question 3.
And quiet sleep and a sweet dream when the long trick’s over.
Name the literary device used in this line.
Answer:
Metaphor : “when the long trick’s over’. This is comparing the end of a long voyage to the end of a long life.

III. Sea Fever Short Questions and Answers.

Question 1.
Why does the poet ask for a star?
Answer:
The poet asks for a star to guide the tall ship.

Question 2.
According to the poet, how is the call of the running tide?
Answer:
The call of the running tide is wild and clear.

Question 3.
What does the word ‘vagrant’ mean?
Answer:
‘Vagrant’ means wandering.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 1 Sea Fever

Question 4.
What does he want from a fellow-wanderer?
Answer:
He wants to share a happy tale and laughter with a fellow-wanderer.

Question 5.
What does the word ‘trick’ in sailing terms refer to?
Answer:
It refers to ‘a watch at sea’.

IV. Paragraph Question with Answer.

Question 1.
What message does the poet convey through the poem?
Answer:
John Masefield’s poem ‘Sea Fever’ is a work of art that brings beauty to the English language through its use of rhythm, imagery and many complex figures of speech. The imagery in ‘Sea Fever’ suggests an adventurous ocean that appeals to all five senses. Along with an adventurous ocean, ‘Sea Fever’ also sets a mood of freedom through the imagery of travelling gypsies. ‘Sea Fever’ not only depicts a strong longing for the sea through its theme, but also through the use of complex figures of speech.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 1 Sea Fever

Warm Up

Rescue the sinking words!

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 1 Sea Fever Poem Meaning In Tamil
Answer:

  1. Voyage
  2. Vaves
  3. Island
  4. Navigate
  5. Sailor
  6. Explore
  7. Harbour
  8. Shore

Sea Fever Summary

In the poem ‘Sea Fever’, the poet, John Masefield expresses his desire for sailing once again in the quiet sea, under the quiet sky. He expresses his desire for the need of a well-built ship to sail and a star in the dark sky to act as a guide. Soon the adventures would begin and as each day dawns, he wakes up to see the early grey mist rise from the sea. He wishes that there would be strong winds that would blow away the thick white clouds in the sky and take sail forward throughout the day. Watching from the shore, fills his heart with the adventure and spirit. The poet finally wishes to be a wandering gypsy.

He loves to share the tales and laughter with a fellow sailor. He wanted to sleep soundly with pleasant dreams at the end of his long shift on watch.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Students can Download Economics Chapter 3 Production Analysis Questions and Answers, Notes Pdf, Samacheer Kalvi 11th Economics Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Samacheer Kalvi 11th Economics Production Analysis Text Book Back Questions and Answers

Part – A

Multiple Choice Questions

Question 1.
The primary factors of production are:
(a) Labour and Organisation
(b) Labour and Capital
(c) Land and Capital
(d) Land and Labour.
Answer:
(d) Land and Labour.

Question 2.
The man-made physical goods used to produce other goods and services are referred to as …………………………
(a) Land
(b) Labour
(c) Capital
(d) Organization
Answer:
(c) Capital

Question 4.
Which factor is called the changing agent of society?
(a) Labourer
(b) Land
(c) Organizer
(d) Capital
Answer:
(c) Organizer

Question 5.
Who said, that one of the key of an entrepreneur is “uncertainty-bearing”.
(a) J.B.Clark
(b) Schumpeter
(c) Knight
(d) Adam Smith
Answer:
(c) Knight

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 6.
The functional relationship between “inputs” and “outputs” is called………………………..
(a) Consumption Function
(b) Production Function
(c) Savings Function
(d) Investment Function
Answer:
(b) Production Function

Question 7.
In a firm 5 units of factors produce 24 units of the product. When the number of factor increases by one, the production increases to 30 units. Calculate the Average Product.
(a) 30
(b) 6
(c) 5
(d) 24
Answer:
(c) 5

Question 8.
The short-run production is studied through ………………………
(a) The Laws of Returns to Scale
(b) The Law of Variable Proportions
(c) Iso – quants
(d) Law of Demand
Answer:
(b) The Law of Variable Proportions

Question 9.
The long-run production function is explained by
(a) Law of Demand
(b) Law of Supply
(c) Returns to Scale
(d) Law of Variable Proportions
Answer:
(c) Returns to Scale

Question 10.
An Iso – quant curve is also known as …………………………
(a) Inelastic Supply curve
(b) Inelastic Demand Curve
(c) Equi – marginal Utility
(d) Equal Product Curve
Answer:
(d) Equal Product Curve

Question 11.
Mention the economies reaped from inside the firm
(a) Financial
(b) Technical
(c) Managerial
(d) All of the above
Answer:
(d) All of the above

Question 12.
Cobb – Douglas production function assumes ………………………….
(a) Increasing returns to scale
(b) Diminishing returns to scale
(c) Constant returns to scale
(d) All of the above
Answer:
(c) Constant returns to scale

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 13.
Name the returns to scale when the output increases by more than 5%, for a 5% increase in the inputs,
(a) Increasing returns to scale
(b) Decreasing returns to scale
(c) Constant returns to scale
(d) All of the above
Answer:
(a) Increasing returns to scale

Question 14.
Which of the following is not a characteristic of land?
(a) It’s a limited supply
(b) It is mobile
(c) Heterogeneous
(d) Gift of Nature
Answer:
(b) It is mobile

Question 15.
The product obtained from additional factors of production is termed as
(a) Marginal product
(b) Total product
(c) Average product
(d) Annual product
Answer:
(a) Marginal product

Question 16.
Modem economists have propounded the law of ………………………
(a) Increasing returns
(b) decreasing returns
(c) Constant returns
(d) variable proportions
Answer:
(a) Increasing returns

Question 17.
Producer’s equilibrium is achieved at the point where:
(a) The marginal rate of technical substitution(MRTS) is greater than the price ratio
(b) MRTS is lesser than the price ratio
(c) MRTS and price ratio are equal to each other
(d) The slopes of Iso-quant and Iso-cost lines are different.
Answer:
(c) MRTS and price ratio are equal to each other

Question 18.
The relationship between the price of a commodity and the supply of a commodity is ……………………….
(a) Negative
(b) Positive
(c) Zero
(d) Increase
Answer:
(b) Positive

Question 19.
If the average product is decreasing, then the marginal product
(a) Must be greater than the average product
(b) Must be less than the average product
(c) Must be increasing
(d) Both a and c
Answer:
(b) Must be less than the average product

Question 20.
A production function measures the relation between ……………………….
(a) Input prices and output prices
(b) Input prices and the quantity of output
(c) The number of inputs and the quantity of output
(d) The number of inputs and input prices.
Answer:
(c) The number of inputs and the quantity of output

Part – B

Answer the following questions in one or two sentences

Question 21.
Classify the factors of production.
Answer:

  1. Land: In Economics, land means all gifts of Nature owned and controlled by human beings which yield an income.
  2. Labour: Labour means manual labour or unskilled work.
  3. Capital: “Capital consists of all kinds of wealth other than free gifts of nature, which yield income”.
  4. Bohm – Bawerk defines it as ‘a produced means of production’.
  5. Organization: The man behind organizing the business is called as ‘Organizer’ or ‘Entrepreneur’.

Question 22.
Define labour?
Answer:

  1. Labour is the active factor of production.
  2. In common parlance, labour means manual labour or unskilled work. But in Economics the term ‘labour’ has a wider meaning.
  3. It refers to any work undertaken for securing an income or reward. Such work may be manual or intellectual. For example, the work done by an agricultural worker or a cook, or rickshaw puller, or a mason is manual.
  4. The work of a doctor or teacher or engineer is intellectual.
  5. In short, labour in economics refers to any type of work performed by a labourer for earning an income.

Question 23.
State the production function.
Answer:

  1. Production function refers to the relationship among units of the factors of production [inputs] and the resultant quantity of a good produced [out put].
  2. According to George J. Stigler, the Production function is the relationship between inputs of productive services per unit of time and outputs of product per unit of time.

Question 24.
Define the Marginal Product of a factor?
Answer:
It is the addition or the increment made to the total product when one more unit of the variable input is employed. In other words, it is the ratio of the change in the total product to the change in the units of the input. It is expressed as
MP = ∆TP/∆N
Where MP = Marginal Product
∆TP = Change in total product
∆N = Change in units of input
It is also expressed as MP = TP [n] – TP [n-1]
MP = Marginal product
TP [n] = Total product of employing nth unit of a factor.
TP [n – 1] = Total product of employing the previous unit of a factor, that is, [n – 1]th unit of a factor.

Question 25.
What is the Iso-cost line?
Answer:

  1. The isocost line is an important component in analyzing the producer’s behaviour.
  2. The isocost line illustrates all the possible combinations of two factors that can be used at given costs and for a given producer’s budget.
  3. Simply stated, an isocost line represents different combinations of inputs which show the same amount of cost.
  4. The isocost line gives information on factor prices and the financial resources of the firm.
  5. It is otherwise called as “iso – price line” or “iso – income line” or “iso – expenditure line” or “total outlay curve”.

Question 26.
What are the conditions for the producer’s equilibrium?
Answer:
The two conditions that are to be fulfilled for the attainment of producer equilibrium are:

  1. The isocost line must be tangent to the isoquant curve.
  2. At the point of tangency, the isoquant curve must be convex to the origin or MRTSLk must be declining.

Question 27.
What are the reasons for the upward-sloping supply curve?
Answer:
A supply curve represents the data given in the supply schedule. As the price of the commodity increases, the quantum supplied of the commodity also increases. Thus the supply curve has a positive slope from left to right.

Part – C

Answer the following questions in One Paragraph

Question 28.
What are the characteristics of land?
Answer:

  1. Land is a primary factor of production
  2. Land is a passive factor of production
  3. Land is the free gift of nature
  4. Land has no cost of production
  5. Land is fixed in supply. It is inelastic in supply
  6. Land is permanent
  7. Land is immovable
  8. Land is heterogeneous as it differs infertility
  9. Land has alternative uses
  10. Land is subject to Law of Diminishing Returns.

Question 29.
What are the factors governing the elasticity of supply?
Answer:
1. Nature of the commodity:
Durable goods can be stored for a long time. So, the producers can wait until they get a high price. Once they get a higher price, a larger supply is possible. The elasticity of the supply of durable goods is high. But perishables are to be sold immediately. So perishables have a low elasticity of supply.

2. Cost of production:
When production is subject to either constant or increasing returns, additional production and therefore increased supply is possible. So elasticity of supply is greater. Under diminishing returns, an increase in output leads to high cost. So elasticity of supply is less.

3. Technical condition:
In large scale production with huge capital investment, supply cannot be adjusted easily. So elasticity of supply is lesser. Where capital equipment is less and technology simple, the supply is more elastic.

4. Time factor:
During a very short period when supply cannot be adjusted, the elasticity of demand is very low. In a short period, variable factors can be added and so supply can be adjusted to some extent. So elasticity of supply is more. In a long period, even the fixed factors can be added, and hence the supply is highly elastic.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 30.
What are the functions of entrepreneurs?
Answer:
Functions of an Entrepreneur:

  • Initiation: An organizer is the initiator of the business, by considering the situation and availability of resources and planning the entire process of business of production.
  • Innovation: A successful entrepreneur is always an innovator. He introduces new methods in the production process.
  • Coordination: An organizer applies a particular combination of the factor of production to start and run the business or production.
  • Control, Direction, and Supervision: An organizer controls so that nothing prevents the organization from achieving its goal. He directs the factors to get better results and supervises for the efficient functioning of all the factors involved in the process of production.
  • Risk-taking and uncertainty-bearing: There are risk-taking and uncertainty-bearing obstacles. Risks may be insured but uncertainties cannot be insured. They reduce the profit.

Question 31.
State and explain the elasticity of supply.
Answer:
The elasticity of supply may be defined as the degree of responsiveness of change in supply to change in price on the part of sellers.
Mathematically:
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 1
Q – Supply, p – price, ∆ – change.

Question 32.
Bring out the Relationship among Total, Average and Marginal Products.
Answer:
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 2

Question 33.
Illustrate the concept of Producer’s Equilibrium.
Answer:
Producer equilibrium is the situation where the producer maximizes his output. It is also known as the optimum combination of the factors of production.
(Eg.) Maximum output at minimum cost.
Producer attains equilibrium where the Iso-cost line is tangent to the Iso-quant.
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 3
In the figure profit of the firm is maximised at the point of equilibrium.
At the point of equilibrium slope of the Iso-cost line = Slope of Iso-product curve At point E, the firm employs OM units of labour and ON units of capital which is the least cost combination.

Question 34.
State the Cobb – Douglas Production Function?
Answer:
The Cobb – Douglas Production Function was developed by Charles W. Cobb and Paul H. Douglas, based on their empirical study of the American manufacturing industry. It is a linear homogeneous production function which implies that the factors of production can be substituted for one another up to a certain extent only.

The Cobb – Douglas production function can be expressed as follows.
Q = AL2K2
Where, Q = output; A = positive constant;
K = capital;
L = Labor α and β are positive fractions showing, the elasticity coefficients of outputs for the inputs labor and capital, respectively.
P = (1 – a) since a + p = 1. denoting constant returns to scale.
Factor intensity can be measured by the ratio β / α.

The sum of α + β shows the returns to scale.

  1. (α + β) = 1, constant returns to scale.
  2. (α + β) < 1, diminishing returns to scale.
  3. (α + β) >1, increasing returns to scale.
  • The production function explains that with the proportionate increase in the factors, the output also increases in the same proportion.
  • Cobb – Douglas production function implies constant returns to scale.
  • Cobb – Douglas Production Function is a specific standard equation applied to describe how much output can be made with capital and labor inputs.

Part – D

Answer the following questions in about a page

Question 35.
Examine the Law of Variable Proportions with the help of a diagram.
Answer:
According to G. Stigler, “As equal increments of one input are added, the inputs of other productive services being held constant, beyond a certain point the resulting increments of the product will decrease (ie) the marginal product will diminish”.
Assumptions:

  1. Only one factor is variable.
  2. All units of the variable factor are homogeneous
  3. The product is measured in physical units.
  4. There is no change in the state of technology and the price of the product.

Stage of production:
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 4
Units of variable factor (labour) are employed along with other fixed factors. There are three stages of production.
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 5
Stage I:

  1. In the first stage MPL increases upto third labourer and is higher than the average product.
  2. So that total produt is increasing at an increasing rate.

Stage II:

  1. MPL decreases up to the sixth unit of labour where MPL curve intersects the x-axis.
  2. The fourth unit of labour MPL = APL
  3. After this, MPL curve is lower than the APL. TPL increases at a decreasing rate.

Stage III:

  1. The seventh unit of labour is marked by negative MPL the APL continues to fall but positive.
  2. TPL declines with the employment of more units of labour.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 36.
List out the properties of Iso-quants with the help of diagrams.
Answer:
Iso-quant:
“An Iso-quant is a curve showing all possible combinations of inputs physically capable of producing a given level of output” – Ferguson.

Properties of Iso-quant curve:
1. The Iso-quant curve has a negative slope:

  1. It slopes downwards from left to right indicating that the factors are substitutable.
  2. In the diagram combination, A refers to more of capital K5 and less of labour L2
  3. As the producer moves to B, C, and D more labour and less capital are used.Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 6

2. Convex to the origin:

  1. In production, the capital substituted by 1 unit of labour goes on decreasing. It is called the diminishing marginal rate of technical substitution.
  2. If the marginal rate of technical substitution diminishes the Iso-quants will be convex to the origin.
  3. Constant MRTS (straight line) and increasing MRTS (concave).Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 7

3. Non-inter-section of Iso-Quant curves:

  1. Point A lie on the Iso-quants IQ1 and IQ2
  2. But the point C shows a higher output and point B shows a lower level of output IQ1
  3. If C = A, B = A, then C – B. But C > B which is illogical.
    Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 8

4. An upper Iso-quant curve represents a higher level of output:

  1. Higher IQs show higher outputs and lower IQs show lower output.
  2. The arrow in the figure shows an increase in the output with a right and upward shift of an Iso-quant curve.Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 9

5. Iso-quant curve does not touch either X-axis or Y-axis:
No Iso-quant curve touches the X-axis or Y-axis because in IQ, the only capital is used and in IQ2 only labour is used.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 10

Question 37.
Elucidate the Laws of Returns to Scale. Illustrate.
Answer:
Laws of Returns To Scale: In the long – run, there is no fixed factor; all factors are variable.
The laws of returns to scale explain the relationship between output and the scale of inputs in the long – run when all the inputs are increased in the same proportion.

Assumptions:
Laws of Returns to Scale are based on the following assumptions.

  1. All the factors of production, [such as land, labour, and capital] are variable but the organization is fixed.
  2. There is no change in technology.
  3. There is perfect competition in the market.
  4. Outputs or returns are measured in physical quantities.

Three Phases of Returns to Scale:

  1. Increasing Returns to Scale: In this case, if all inputs are increased by one percent, output increase by more than one percent.
  2. Constant Returns to Scale: In this case, if all inputs are increased by one percent, output increases exactly by one percent.
  3. Diminishing Returns to Scale: In this case, if all inputs are increased by one percent, output increases by less than one percent.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 11
In the diagram, the movement from point a to point b represents increasing returns to scale. Between these two points, input has doubled but the output was tripled.

The law of constant returns is implied by the movement from point b to point c. Between these two points inputs have doubled and output also has doubled.

Decreasing returns to scale are denoted by the movement from the point c to point d since doubling the factors from 4 units to 8 units produce less than the increase in inputs, that is by only 33.33%.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 38.
Explain the internal and external economies of scale.
Answer:
The scale of production is an important factor affecting production. Every producer wishes to reduce the costs of production by using economies of scale.
Marshall classified economies into two.
1. Internal economies of scale: Internal economies refer to the reduction in the cost of production of the commodity. They are of various types.

  • Technical economies: When the size and capital of the firm is large, up-to-date technologies can be used to improve the productivity of the firm. Here research and development strategies can be applied easily.
  • Financial economies: Big firms can float shares in the market for capital expansion, while small firms cannot do so.
  • Managerial economies: Large scale production facilitates specialization and delegation.
  • Labour economies: Large scale production implies greater and minute division of labour. This leads to specialization which enhances the quality. This increases the productivity of the firm.
  • Marketing economies: The producers can both buy raw-materials in bulk at a cheaper cost and can take the products to distant markets.
  • Economies of survival: Product diversification is possible and it reduces the risk in production. Even if the market for one product collapses, the market for other commodities offsets it.

Question 39.
External economies of scale:
Answer:
External economies of scale refer to changes in any factor outside the firm or industry causing an improvement in the production process.
Important external economies are:

  1. Increased transport facilities.
  2. Banking facilities
  3. Development of townships
  4. Development of information and communication

Samacheer Kalvi 11th Economics Production Analysis Additional Questions and Answers

Question 1.
Production refers to …………………….
(a) Destruction of utility
(b) Creation of utilities
(c) Exchange value
(d) None
Answer:
(b) Creation of utilities

Question 2.
_______ is a person who combines the factors of production in the production process to earn a profit.
(a) Producer
(b) Entrepreneur
(c) Consumer
(d) Labours
Answer:
(b) Entrepreneur

Question 3.
Division of labour is introduced by ………………………
(a) Adam Smith
(b) Marshall
(c) Schumpeter
(d) Hawley
Answer:
(a) Adam Smith

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 4.
Total product is
(a) TP = ∑AP
(b) TP = ∑MP
(c) TP = ∆N
(d) TP = TP / N
Answer:
(b) TP = ∑MP

Question 5.
The Initial supply price of land is ……………………..
(a) Zero
(b) Greater than one
(c) Less than one
(d) Equal to one
Answer:
(a) Zero

Question 6.
Cobb – Douglas production function depends on ______
(a) Land, Labour
(b) Land, Capital
(c) Labour, capital
(d) Labour, organisation
Answer:
(c) Labour, capital

Question 7.
Who is the primary factor of production?
(a) Organizer
(b) Capital
(c) Machine
(d) Man
Answer:
(a) Organizer

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 8.
_______ is the man-made factor of production.
(a) Labour
(b) Capital
(c) Savings
(d) Land
Answer:
(c) Savings

Question 9.
The technological relationship between inputs and output is called ……………………….
(a) Production function
(b) Technical function
(c) Capital function
(d) Organiser function
Answer:
(a) Production function

Question 10.
In the production process _______ bears uncertainty.
(a) Manager
(b) Labour
(c) Entrepreneur
(d) None
Answer:
(c) Entrepreneur

Question 11.
α + β = 1 refers _______
(a) Increasing returns to scale
(b) Constant return to scale
(c) Diminishing returns to scale
(d) None
Answer:
(b) Constant return to scale

Choose the correct statement

Question 1.
(a) Production refers to the creation of utility
(b) Production means the transformation of inputs into output
(c) Production creates economic well-being.
(d) The scale of production influences the revenue.
Answer:
(d) The scale of production influences the revenue.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 2.
(a) An entrepreneur is a risk-taker – Walker.
(b) Capital consists of all kinds of wealth other than the free gift of nature -Marshall.
(c) An entrepreneur innovates – Schumpeter.
(d) An entrepreneur is an uncertainty bearer – Walker.
Answer:
a. An entrepreneur is a risk-taker – Walker.

Match the following and choose the answer using the codes given below

Question 3.
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 12
a. 3 4 1 2
b. 1 2 3 4
c. 4 1 2 3
d. 2 1 3 4
Answer:
(c) Active factor – (3) Cobb-Douglas

Question 4.
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 13
a. 2 4 1 3
b. 1 2 3 4
c. 3 4 1 2
d. 4 1 2 3
Answer:
(a) (α + β) =1 – (1) Diminishing returns.

Question 5.
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 14
Answer:
a. 1 2 3 4
b. 4 1 2 3
c. 3 1 2 4
d. 2 3 1 4
Answer:
(c) Perfectly inelastic supply = (3) Es < 1

Question 6.
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 15
a. 2 3 1 4
b. 3 4 1 2
c. 4 1 2 3
d. 3 4 2 1
Answer:
(b) Labour = (2) Initiator

Choose the odd one out

Question 7.
(a) Land
(b) Labour
(c) Production
(d) Organisation
Answer:
(c) Production

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 8.
(a) Technical economics
(b) Financial economics
(c) Economics of survival
(d) Banking facility
Answer:
(d) Banking facility

Choose the correct statement

Question 9.
(a) Iso-quant has a positive slope.
(b) Iso-quants never intersect each other
(c) Iso-quants are concave to the origin
(d) Iso-quant curve touch either X or Y-axis.
Answer:
(b) Iso-quants never intersect each other

Question 10.
Cobb-Douglas production function.
(a) Implies constant returns to scale
(b) It considers all the factors of production.
(c) The elasticity of substitution between the factors is less than one.
(d) Is a non-linear homogeneous production function.
Answer:
(a) Implies constant returns to scale

Analyze the reason for the following 

Question 11.
Assertion (A): Labour is the human input into the production process.
Reason (R): Labour cannot be separated from the labourer.
a. Both (A) and (R) are true, (R) is the correct explanation of (A)
b. Both (A) and (R) are true, (R) is not the correct explanation of (A)
c. Both (A) and (R) are false.
d. (A) is true but, (R) is false.
Answer:
b. Both (A) and (R) are true, (R) is not the correct explanation of (A)

Question 12.
Assertion (A) : Perishables have a low elasticity of supply.
Reason (R) : Perishables cannot be stored for a long time.
a. Both (A) and (R) are true, (R) is the correct explanation of (A)
b. Both (A) and (R) are true, (R) is not the correct explanation of (A)
c. (A) is true but (R) is false.
d. (A) is false but (R) is true.
Answer:
a. Both (A) and (R) are true, (R) is the correct explanation of (A)

Choose the incorrect pair

Question 13.
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 16
Answer:
(a) Q = ALα Kβ

Question 14.
Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 17
Answer:
(d) Q = f (N,L,K,T)

Fill in the blanks with the suitable option given below 

Question 15.
Cobb-Douglas production function depends on _____
(a) Land, labour
(b) Land, capital
(c) Labour, capital
(d) Labour, organisation
Answer:
(c) Labour, capital

Question 16.
Total product is _____
(a) TP = ∑AP
(b) TP = ∆N
(c) TP = ∑MP
(d) TP = \(\frac { TP }{ N } \)
Answer:
(c) TP = ∑MP

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 17.
In the production process __________ bears uncertainty.
(a) Manager
(b) Labour
(c) Worker
(d) Entrepreneur
Answer:
(d) Entrepreneur

Choose the best option 

Question 18.
is the man-made factor of production.
(a) Labour
(b) Capital
(c) Savings
(d) Land
Answer:
(b) Capital

Question 19.
The labour exercised without expecting income is __________
(a) Service
(b) Physical labour
(c) Mental labour
(d) None of the above
Answer:
(a) Service

Question 20.
Marginal product is ________
(a) MP = \(\frac { AP }{ N } \)
(b) MP = \(\frac { TP }{ N } \)
(c) MP = \(\frac { ∆AP }{ ∆N } \)
(d) MP = \(\frac { ∆TP }{ ∆N } \)
Answer:
(d) MP = \(\frac { ∆TP }{ ∆N } \)

Part – B

Answer the following questions in one or two sentences

Question 1.
What are the characteristics of capital?
Answer:

  1. Capital is a man-made factor
  2. Capital is mobile between places and persons
  3. Capital is a passive factor of production
  4. Capital’s supply is elastic
  5. Capital’s demand is a derived demand
  6. Capital is durable

Question 2.
What is the land?
Answer:
Land means all gifts of nature owned and controlled by human beings which yield an income.

Question 3.
Explain the law of variable proportions assumptions?
Answer:

  1. The Law of Variable Proportions is based on the following assumptions.
  2. Only one factor is variable while others are held constant.
  3. All units of the variable factor are homogeneous.
  4. The product is measured in physical units.
  5. There is no change in the state of technology.
  6. There is no change in the price of the product.

Question 4.
What is the total product?
Answer:
Total product is the summation of marginal products.
TP = ∑MP

Question 5.
What is the average product?
Answer:
Average product refers to the output per unit of the input.

Question 6.
What are diseconomies of scale?
Answer:
Diseconomies of scale are a disadvantage to a firm or industry or organization. This necessarily increases the cost of production.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 7.
What are Iso-quants?
Answer:
An Iso-quant curve can be defined as the locus of points representing various combinations of two inputs yielding the same output.

Part – C

Answer the following questions in One Paragraph

Question 1.
State the characteristics of labour.
Answer:

  1. Labour is an active factor of production.
  2. Labour may be manual or intellectual.
  3. Labour is perishable.
  4. Labour is inseparable from the labourer.
  5. Labour is less mobile.
  6. Labour is a means as well as an end.
  7. Labour units are heterogeneous.
  8. Labour has weak bargaining power.

Question 2.
Define Iso – quant, and Iso – quants Assumptions?
Answer:
Definition of Iso – quant:
According to Ferguson, “An Iso – quant is a curve showing all possible combinations of inputs physically capable of producing a given level of output”.

Assumptions:

  1. It is assumed that only two factors are used to produce a commodity.
  2. Factors of production can be divided into small parts.
  3. The technique of production is constant.
  4. The substitution between the two factors is technically possible. That is, the production function is of a “variable proportion” type rather than a fixed proportion.
  5. Under the given technique, factors of production can be used with maximum efficiency.

Question 3.
Who is an entrepreneur?
Answer:
An entrepreneur is a person who combines land, labour, and capital in the production process to earn a profit. He not only runs the business but bears the risk of the business.

Question 4.
Differentiate the short period and long period.
Answer:
The short-run is the period where some inputs are variable. Another feature is that firms do not enter or exit the industry. The long-run is the period where all the inputs are variable. It is featured by the entry of new firms and the exit of existing firms from the industry.

Question 5.
Name the classification of a production function.
Answer:
Production function may be classified into two.

  1. Short-run production function as illustrated by the law of variable proportions.
  2. Long-run production function as explained by the laws of returns to scale.

Question 6.
What is an Iso-quant map?
Answer:
An Iso-quant map has different Iso-quant curves representing the different combinations of factors of production, yielding the different levels of output. An Iso-quant map is a family of Iso-quants.

Part – D

Answer the following questions in about a page

Question 1.
What are the characteristics of labour?
Answer:

  1. Labour is the animate factor of production.
  2. Labour is an active factor of production.
  3. Labour implies several types: It may be manual [farmer] or intellectual [teacher, lawyer, etc]
  4. Labour is perishable.
  5. Labour is inseparable from the labourer.
  6. Labour is less mobile between places and occupations.
  7. Labour is a means as well as an end. It is both the cause of production and the consumer of the product.
  8. Labour units are heterogeneous.
  9. Labour differs inability.
  10. Labour – supply determines its reward [wage]
  11. Labour has weak bargaining power.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 2.
Explain the law of supply with a diagram.
Answer:
1. Law of supply:
The Law of supply describes a direct relationship between the price of a good and the supply of that good.

2. Definition:
“Other things remaining the same, if the price of a commodity increases its quantity supplied increases and if the price of a commodity decreases, quantity supplied also decreases”.

3. Supply function:
Q = f (Px, Pr, Pr T, O, E)
Qs – Quantity supplied of x commodity
Px – Price of x commodity
Pr – Price of related goods
Pf – Price of factors of production.
T – Technology
O – Objective of the producer.
E – The expected price of the commodity

Assumptions:

  1. There is no change in the prices of factors of production and capital goods.
  2. Natural resources, technology, climate, political situations, and tax policy remain unchanged.
  3. Prices of substitutes are constant.

Supply schedule:
A supply schedule shows the different quantities of supply at different prices

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 18

Supply curve:
The quantum supplied is represented on X-axis. And the price of the commodity is represented on the Y-axis

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis 19

As the price of the commodity increases, the quantum supplied of the commodity also increases. Thus the supply curve has a positive slope. The points such as e, d, c, b, and a on the supply curve SS, represent various quantities of different prices.

Samacheer Kalvi 11th Economics Solutions Chapter 3 Production Analysis

Question 3.
Explain the factors determining supply.
Answer:
1. Price of the commodity:
The higher the price larger the supply Price is the incentive for the producers and sellers to supply more.

2. Price of other commodities:
The supply of a commodity not only depends upon its price but also the prices of other commodities. For instance, if the price of commercial crops increases, the supply of food crops may decrease.

3. Price of factors:
When the input prices go up, this results in rising in cost and so supply will be affected.

4. Price expectations:
The expectation over future prices determines present supply.

5. Technology:
With the advancement in technology, production level improves average cost declines, and as a result supply level increases.

6. Natural factors:
In agriculture, natural factors like a monsoon, climate, etc., play a vital role in determining the production level.

7. Discovery of new raw materials:
The discovery of cheaper and high-quality raw materials tends to increase the supply of the product.

8. Taxes and subsidies:
Subsidies encourage the producers to produce more whereas taxes kill the ability and willingness to produce more.

9. The objective of the firm:
When the goal of the firm is sales maximization or improving market share, the supply of the product is likely to be higher.

Question 4.
Explain the characteristics of labour.
Answer:
According to Marshall, labour represents services provided by the factor labour, which helps in yielding an income to the owner of the labor-power.
Characteristics of labour:

  1. Labour is the animate factor of production.
  2. Labour is an active factor of production.
  3. Labour implies several types it may be manual or intellectual.
  4. Labour is perishable.
  5. Labour is inseparable from the labourer.
  6. Labour is less mobile between places and occupations.
  7. Labour is a means as well as an end.
  8. Labour units are heterogeneous.
  9. Labour-supply determines its reward.
  10. Labour has weak bargaining power.

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