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Published on: 16/12/2019
Producer Equilibrium
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1.
Why is the equality between marginal cost and marginal revenue necessary for a firm to be in equilibrium? Is it sufficient to ensure equilibrium? Explain
2.
Can there be a positive level of output that a profit-maximizing firm produces in a competitive market at which market price is not equal to marginal cost? Give an explanation.
3.
Elaborate the implication of the conditions of equilibrium of a firm
4.
Why is the equality between marginal cost and marginal revenue necessary for a firm to be in equilibrium? Is it sufficient to ensure equilibrium? Explain.
5.
Explain the producer's equilibrium with MR/MC approach (when Price remains constant with the rise in output).
6.
What conditions must hold if a profit-maximizing firm produces positive output in a competitive market?
7.
Suppose that a sole proprietorship is earning total revenue of Rs 1,00,000 and is incurring explicit costs of Rs 75,000. If the owner could work for another company for Rs 30,000 a year, would you conclude that the firm is incurring an economic loss or getting profit?
8.
"MC should be rising at the point of Producer's Equilibrium". Comment.
9.
What is the relation between Price and MC at equilibrium (when price falls with the rise in output)?
10.
The following table shows the total revenue and total cost schedules of a competitive firm. Calculate the profit at each output level. Determine also the market price of the goods.
| Quantity sold (Units) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|---|
| TR (in Rs) | 0 | 5 | 10 | 15 | 20 | 25 | 30 | 35 |
| TC (in Rs) | 5 | 7 | 10 | 12 | 15 | 23 | 33 | 40 |
| Profit (Rs) | - | - | - | - | - | - | - | - |
11.
Will a profit-maximizing firm in a competitive market ever produce a positive level of output in the range where the marginal cost is falling? Give an explanation.
12.
Comment on the following statement: "Firms should maximize the difference between marginal revenue and marginal cost."
13.
Suppose a firm is producing a level of output such that MR > MC. What should the firm do to maximise the profit?
14.
Give meaning of producer's equilibrium
15.
What are the two methods for determination of producer's equilibrium?
16.
What is meant by profit?
1.
When there is no fixed price and price falls with the rise in output, MR curve slope downwards. Producer aims to produce that level of output. at which MC is equal to MRand MC curve cuts the MR curve from below. Let us understand this with the help of following table:
| Units of Commodity | MR(Rs) | MC(Rs) |
| 1 | 10 | 9 |
| 2 | 9 | 7 |
| 3 | 8 | 6 |
| 4 | 7 | 7 |
| 5 | 6 | 8 |
| 6 | 5 | 9 |
According to Table, both the conditions of equilibrium are satisfied at 4 units of output. MC is equal to MR and MC is rising. MC is more than MR when output is produced after 4 units of output. So, Producer's Equilibrium will be achieved at 4 units of output. Letus understand the determination of equilibrium with the help of a diagram:

Producer's Equilibrium is determined at OQ level of output corresponding to point E as at this point, MC= MR and MC curve cuts MR curve from below.
In Figure, output is shown on the horizontal axis and revenue and costs on the vertical axis. Producer's equilibrium will be determined at OQ level of output corresponding to point E because at this, the following two conditions are met:
(i) MC = MR; and
(ii) MCcurve cuts the MR curve from below.
When MR > MC, then producer will continue to produce as long as MR becomes equal to MC. It is so because firm will find it profitable to raise the output level.
When MR< MC, then producer will cut down the production as long as MR becomes equal to MC. It is so because firm will find it unprofitable to produce an extra unit. So, it starts reducing the level of output till MR= MC.
So, the producer is at equilibrium at OQ units of output.
2.
The profit-maximizing level of output is always determined where,
(i) MR = MC
(ii) MC must be rising. In other words, where price is equal to MC.
If price is not equal to MC, profit-maximizing condition cannot hold. It can be explained with the help of the following two cases:
Case 1: Price Greater Than MC
(i) In the given figure at output level q2, the market price is greater than marginal cost.
(ii) To show that q2 is not a profit maximizing level of output, we have taken q3 output level, which is right of q2.
(iii) Suppose the firm increases its output level from q2 to q3. The increase in total revenue of the firm from this output is the market price multiplied by the change in quantity (\(\triangle\) TR= market price x \(\triangle\)Q), that is, the area of rectangle q2q3CB.

(iv) On the other hand, the increase in total cost with this increase in output is the area of the region q2q3XW.
(v) But, a comparison of the two area shows that the firm's profit is higher when output level is q2q3 rather than %. So, % is not a profit maximizing level of output.
Case 2: Price Less Than MC
(i) In the given figure at output level q2, the market price is less than marginal cost.
(ii) To show that %is not a profit maximizing level of output, we have taken q3 output level, which is left of q2.

(iii) Suppose now, that the firm reduce its output level from q2 to q3. The decrease in total revenue of the firm from this output is the market price multiplied by the change in quantity (\(\triangle\)TR = market price x \(\triangle\)Q), that is, the area of rectangle q2q3CB.
(iv) On the other hand, the decrease in total cost with this decrease in output is the area of the region q2q3XW.
(v) But, a comparison of the two area shows, that by reducing the output from q2 to q3, the decrease in cost is more than the loss in revenue. So, q2 is not a profit maximizing level of output.
3.
The conditions must hold if a profit-maximizing firm produces positive output in a competitive market when price is constant under MR/MC approach is determined where,
(i) MR = MC (ii) MC must be rising
| Output (Units) | Marginal Revenue Rs | Marginal Cost Rs |
| 1 | 8 | 10 |
| 2 | 8 | 8 |
| 3 | 8 | 7 |
| 4 | 8 | 8 |
| 5 | 8 | 9 |
According to Table, both the conditions of equilibrium are satisfied at 4 units of output. MC is equal to MR and MC is rising. MC is more than MR when output is produced after 4 units of output. So, Producer's Equilibrium will be achieved at 4 units of output. However, MR is equal to MC at 2 units of output also. But, second condition is not fulfilled here.
Let us understand the determination of equilibrium with the help of a diagram:

Producer's Equilibrium is determined at OQ level of output corresponding to point E as at this point, MC= MR and MC curve cuts MR curve from below.
In Figure, output is shown on the horizontal axis and revenue and costs on the vertical axis. Producer's equilibrium will be determined at OQ level of output corresponding to point E because at this, the following two conditions are met:
(i) MC = MR;
(ii) MC curve cuts the MR curve from below.
When MR > MC, then producer will continue to produce as long as MR becomes equal to MC. It is so because firm will find it profitable to raise the output level.
When MR< MC, then producer will cut down the production as long as MR becomes equal to MC. It is so because firm will find it unprofitable to produce an extra unit. So, it starts reducing the level of output till MR= MC.
4.
The conditions must hold if a profit-maximizing firm produces positive output in a competitive market when price is constant under MR/MC approach is determined where,
(i) MR = MC (ii) MC must be rising
| Output (Units) | Marginal Revenue Rs | Marginal Cost Rs |
| 1 | 8 | 10 |
| 2 | 8 | 8 |
| 3 | 8 | 7 |
| 4 | 8 | 8 |
| 5 | 8 | 9 |
According to Table, both the conditions of equilibrium are satisfied at 4 units of output. MC is equal to MR and MC is rising. MC is more than MR when output is produced after 4 units of output. So, Producer's Equilibrium will be achieved at 4 units of output. However, MR is equal to MC at 2 units of output also. But, second condition is not fulfilled here.
Let us understand the determination of equilibrium with the help of a diagram:

Producer's Equilibrium is determined at OQ level of output corresponding to point E as at this point, MC= MR and MC curve cuts MR curve from below.
In Figure, output is shown on the horizontal axis and revenue and costs on the vertical axis. Producer's equilibrium will be determined at OQ level of output corresponding to point E because at this, the following two conditions are met:
(i) MC = MR;
(ii) MC curve cuts the MR curve from below.
When MR > MC, then producer will continue to produce as long as MR becomes equal to MC. It is so because firm will find it profitable to raise the output level.
When MR< MC, then producer will cut down the production as long as MR becomes equal to MC. It is so because firm will find it unprofitable to produce an extra unit. So, it starts reducing the level of output till MR= MC.
5.
The conditions must hold if a profit-maximizing firm produces positive output in a competitive market when price is constant under MR/MC approach is determined where,
(i) MR = MC (ii) MC must be rising
| Output (Units) | Marginal Revenue Rs | Marginal Cost Rs |
|---|---|---|
| 1 | 8 | 10 |
| 2 | 8 | 8 |
| 3 | 8 | 7 |
| 4 | 8 | 8 |
| 5 | 8 | 9 |
According to Table, both the conditions of equilibrium are satisfied at 4 units of output. MC is equal to MR and MC is rising. MC is more than MR when output is produced after 4 units of output. So, Producer's Equilibrium will be achieved at 4 units of output. However, MR is equal to MC at 2 units of output also. But, second condition is not fulfilled here.
Let us understand the determination of equilibrium with the help of a diagram:

Producer's Equilibrium is determined at OQ level of output corresponding to point E as at this point, MC= MR and MC curve cuts MR curve from below.
In Figure, output is shown on the horizontal axis and revenue and costs on the vertical axis. Producer's equilibrium will be determined at OQ level of output corresponding to point E because at this, the following two conditions are met:
(i) MC = MR;
(ii) MC curve cuts the MR curve from below.
When MR > MC, then producer will continue to produce as long as MR becomes equal to MC. It is so because firm will find it profitable to raise the output level.
When MR< MC, then producer will cut down the production as long as MR becomes equal to MC. It is so because firm will find it unprofitable to produce an extra unit. So, it starts reducing the level of output till MR= MC.
6.
The conditions must hold if a profit-maximizing firm produces positive output in a competitive market when price is constant under MR/MC approach is determined where,(i) MR = MC (ii) MC must be rising
| Output (Units) | Marginal Revenue Rs | Marginal Cost Rs |
| 1 | 8 | 10 |
| 2 | 8 | 8 |
| 3 | 8 | 7 |
| 4 | 8 | 8 |
| 5 | 8 | 9 |
According to Table, both the conditions of equilibrium are satisfied at 4 units of output. MC is equal to MR and MC is rising. MC is more than MR when output is produced after 4 units of output. So, Producer's Equilibrium will be achieved at 4 units of output. However, MR is equal to MC at 2 units of output also. But, second condition is not fulfilled here.
Let us understand the determination of equilibrium with the help of a diagram:

Producer's Equilibrium is determined at OQ level of output corresponding to point E as at this point, MC= MR and MC curve cuts MR curve from below.
In Figure, output is shown on the horizontal axis and revenue and costs on the vertical axis. Producer's equilibrium will be determined at OQ level of output corresponding to point E because at this, the following two conditions are met:
(i) MC = MR;
(ii) MC curve cuts the MR curve from below.
When MR > MC, then producer will continue to produce as long as MR becomes equal to MC. It is so because firm will find it profitable to raise the output level.
When MR< MC, then producer will cut down the production as long as MR becomes equal to MC. It is so because firm will find it unprofitable to produce an extra unit. So, it starts reducing the level of output till MR= MC.
7.
Economic profit = TR - TC (Explicit cost + Implicit cost)
= 1,00,000 - (75,000 + 30,000)
= - 5000 (loss)
So the firm is incurring an economic loss.
8.
(i) The given statement is correct.
(ii) If MC is falling at the point of equilibrium, it means that it is possible to add to profits by producing more.
(iii) So, MC should be rising at the point of producer's equilibrium.
9.
(i) When more output can be sold only by reducing the prices, AR or Price > MR.
(ii) Equilibrium is achieved when MC = MR.
(iii) So, Price is more than MC at the equilibrium level.
10.
| Quantity sold (Units) | TR (in Rs) | TC (in Rs) | Profit (Rs) Profit =TR-TC | Market Price =\({TR\over Q} (Rs)\) |
|---|---|---|---|---|
| 0 | 0 | 5 | -5 | - |
| 1 | 5 | 7 | -2 | 5 |
| 2 | 10 | 10 | 0 | 5 |
| 3 | 15 | 12 | 3 | 5 |
| 4 | 20 | 15 | 5 | 5 |
| 5 | 25 | 23 | 2 | 5 |
| 6 | 30 | 33 | -3 | 5 |
| 7 | 35 | 40 | -5 | 5 |
Market price (AR)= TR/Quantity sold = Rs 5. (TR= Total Revenue; TC = Total Cost)
11.
No, as sufficient condition of producer equilibrium is Marginal Cost must be rising when Marginal Cost = Marginal revenue. It can be explained with the help of following diagram:

Point F is not a producer equilibrium because at this point, marginal cost = marginal revenue when marginal cost is falling. It is so because after point F, and output Q1. MR[AQ1]> MC [BQ1], then producer will continue to produce as long as MR becomes equal to MC as firm will find it profitable to raise the output level.
12.
( )
The statement is false. Firms should maximize profit which is the difference between total revenue and total cost. At the profit-maximizing level of output, marginal revenue is equal to marginal cost.
Value: Analytic
13.
( )
MR = MC is the condition for maximum profit. In the given question MR> MC, thus the firm has the capacity to increase production so as to earn maximum profit. So the firm increases its production.
Value: Analytic
14.
( )
A producer is said to be in equilibrium when he produces that level of output at which his profits are maximum . Producer's equilibrium is also known as profit maximisation situation.
15.
( )
(i) TR - TC Approach
(ii) MR - MC Approach
16.
( )
Profit refers to the excess of revenue over cost.
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