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Question 14 Marks
From the following information about a firm, find the firm's equilibrium output in terms of marginal cost and marginal revenue. Give reasons. Also find profit at this output.
Output (Units)Total Revenue (₹)Total Cost (₹)
167
21213
31817
42423
53031
Answer
Output (Units)Total Revenue (₹)Marginal Revenue (₹)Total Cost (₹)Marginal Cost (₹)
16677
2126136
3186174
424623 6
5306318
In the above table, MR = MC in two situations: (i) when 2 units of output are produced, and
(ii) when 4 units of output are produced. However, in situation 1, when output is 2 units, MC is falling whereas in situation 2, when output is 4 units, MC is rising. A producer strikes equilibrium when two conditions are satisfied:
(i) MR=MC, and (ii) MC is rising.
This means that the equilibrium will be struck when 4 units of output are produced and not wher 2 units of output are produced.
When 4 units of output are produced,
TR = ₹ 24 and TC = ₹ 23
Profit TR -TC
Profit = ₹ 24 - ₹ 23
= ₹ 1
The producer is earning supernormal profit of ₹ 1 at the point of equilibrium.
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Question 24 Marks
From the following information about a firm, find the firm's equilibrium output in terms of marginal cost and marginal revenue. Give reasons. Also find profit at this output.
Output (Units)Total Revenue (₹)Total Cost (₹)
178
21415
32121
42828
53536
Answer
Output (Units)Total Revenue (₹)Marginal Revenue (₹)Total Cost (₹)Marginal Cost (₹)
17788
2147157
3217216
4287287
5357368

In the above table, MR=MC in two situations: (i) when 2 units of output are produced, and (ii) when 4 units of output are produced. However, in situation 1, when output is 2 units, MC is falling, whereas in situation 2, when output is 4 units, MC is rising. A producer strikes equilibrium when two conditions are satisfied:
(i) MR MC, and (ii) MC is rising.
This means that the equilibrium will be struck when 4 units of output are produced and not when 2 units of output are produced.
When 4 units of output are produced,
TR=₹  28 and TC = ₹ 28
Profit = TR - TC
Profit = ₹ 28 - ₹ 28
= 0
The producer is earning only normal profits at the point of equilibrium. Normal profits are a part of TC.
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Question 34 Marks
From the following total cost and total revenue schedule of a firm, find out the level of output, using marginal cost and marginal revenue approach, at which the firm would be in equilibrium. Give reasons for your answer.
Output (Units)Total Revenue (₹)Total Cost (₹)
1108
21815
32421
42825
53033
Answer
Output (Units)Total Revenue (₹)Total Cost (₹)Marginal Revenue (₹)Marginal Cost (₹)
1108108
2181587
3242166
4282544
5303326
Producer is in equilibrium at 4th unit of output.
A producer strikes equilibrium when two conditions are satisfied:
(i) MR=MC, and
(ii) MC is rising from the point of equilibrium (so that MC is greater than MR beyond the equilibrium output).
Condition 1 is satisfied in two situations: (i) when 3 units of output are produced, and (ii) when 4 units of output are produced. But situation (1) does not satisfy condition 2 (that MC should be rising from the point of equilibrium). However, both the conditions of equilibrium are satisfied in situation (2). Hence, equilibrium is struck when 4 units of output are produced.
The firm is in equilibrium when 4 units of output are produced.
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Question 44 Marks
Given below is the cost schedule of a product produced by a firm. The market price per unit of the product at all levels of output is ₹ 12. Using marginal cost and marginal revenue approach, find out the level of equilibrium output. Give reasons for your answer:
Output (Units)123456
Average Cost (₹)1211101010.411
Answer
Output (Units)Average Cost (₹)Total Cost (₹)Marginal Revenue = Average Revenue (₹)Marginal Cost (₹)
112121212
211221210
31030128
410401210
510.4521212
611661214
Producer is in equilibrium at 5th unit of output.
Reason: At output levels Ist and 5th unit, MR and MC are equal which is 12 in this case. But the producer is in equilibrium at 5th unit only where MR = MC (12) and MC is rising.
The level of equilibrium output is 5 th unit.
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Question 54 Marks
Answer
Output (Units)TR (₹)Total Revenue (TR) (₹)Total Cost (TC ) (₹)Marginal Revenue (MR) (₹)Marginal Cost (MC) (₹)Profit (₹)
(π=TR-TC)
155757- 2
25101255- 2
35151654- 1
452018522
552523552
Producer's equilibrium is struck when output level is 5 units.
Reason: At output levels 2nd and 5th units, both MR and MC are equal, which is equal to 5 in both the cases. But the producer is in equilibrium at 5th unit only where profit is maximum (= 2).
The producer is in equilibrium when the level of output =5 units.
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Question 64 Marks
With the help of the table given below, find producer's equilibrium using MR and MC approach. Give reason for your answer.
Quantity Sold (Units)TR  (₹)AC (₹)
12020
24015
36012
48010
  510012
612015
Answer
Output (Units)TR (₹)MR (₹)AC (₹)TC (₹)MC (₹)Profit (2)
(π = TR - TC)
120202020200
2402015301010
360201236624
480201040440
5100201260 2040
61202015903030
Producer's equilibrium is struck when output level = 5 units.
Reason: At output levels 1st and 5th units, both MR and MC are equal, which is equal to 20 in both the cases. But producer is in equilibrium at 5th unit only where profit is maximum (= 40).
The producer is in equilibrium when the level of output =5 units.
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Question 74 Marks
Find producer's equilibrium, from the following. Give logical reason.
Quantity Sold (Units)Total Revenue (₹)Total Cost (TC) (₹)
51518
62022
72526
83027
93532
104038
Answer
Quantity Sold (Units)Total Revenue (TR) (₹)Total Cost (TC) (₹)Marginal Revenue (MR) (₹)Marginal Cost (MC) (₹)Profit
(π = TR - TC)
(₹)
51518--- 3
6202254- 2
7252654- 1
83027513
93532553
104038562
Producer is in equilibrium at 9th unit of output.
Reason: At output levels 8th and 9th unit, the difference between TR and TC, ie., profit is maximum, which is equal to 3 in both the cases. But the producer is in equilibrium at 9th unit only where MR= MC (=5), and MC is rising.
Producer's equilibrium is struck when output level is 9 units.
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Question 84 Marks
Find the profit maximising level of output.
Quantity Sold ( Units )Total Revenue ( ₹ )Marginal Cost (₹)
11215
2269
3346
4402
5423
Answer
Quantity Sold ( Units )Total Revenue ( ₹ )Marginal Cost ( ₹ )Total Cost ( ₹ )Profit
(π = TR - TC)
(₹)
1121515- 3
2269242
3346304
4402328
5423357

Profit is maximised when the output level is 4 units because here, profit is maximum, ie., 8 and after this starts declining.
Profit is maximum at 4 th unit.
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Question 94 Marks
Quantity Sold ( Units )Price ( ₹ per unit )Average Cost (₹)
115 15
21612
31710
41812
51914
Answer
Quantity Sold
( Units )
Price ( ₹ per unit )AC (₹)TR (₹)TC (₹)Profit
(π = TR - TC)
(₹)
1151515150
2161232248
31710513021
41812724824
51914957025
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Question 104 Marks
What should the firm's profit, when average variable cost is ₹ 20 per unit, average fixed cost is ₹ 10 per unit, price of the output is ₹ 25 per unit and only 8 units of the output are produced?
Answer
AVC=₹ 20; AFC= ₹ 10; Price = ₹ 25 and Output = 8 units
TVC = AVC x Output
= ₹ 20 x 8
=₹ 160
TFC = AFC x Output
= ₹ 10 ×₹ 8
= ₹ 80
TC = TFC+ TVC
= ₹ 80 + ₹ 160
=₹ 240
TR = Price Output
=₹ 25 × 8
=₹ 200
Profit=TR - TC
= ₹ 200-₹ 240
= (-) ₹ 40
In this case, firm is incurring loss of ₹ 40 because TC > TR.
profit=(-) ₹ 40 (loss).

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Question 134 Marks
Explain the conditions leading to maximisation of profits by a producer. Use marginal cost and marginal revenue approach.
Answer
SELF
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Question 174 Marks
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 good.
Quantity SoldTR (₹)TC (₹)Profit (₹)
005 
157 
21010 
31512 
42015 
52523 
63033 
73540 
 
Answer
Quantity SoldTR (₹)TC (₹)Profit (=TR-TC)
(₹) 
Market Price
$\left(=\frac{T R}{Q}\right)$
(₹) 
005- 5
157- 25
2101005
3151235
4201555
5252325
63033- 35
73540- 55
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Question 184 Marks
Answer
(1) Producer is said to be in equilibrium when he maximises his profits or minimises his losses.
The conditions of producer's equilibrium for a competitive firm are:
(i) $MR = MC$,
(ii) MC is rising or MC curve cuts MR curve from below, and
(iii) AR (price) $\geq \operatorname{AVC}$ (average variable cost).
(2) No, in the long run; Yes in the short run. In the long run, a firm will quit the industry in case it is incurring losses. In the short run, a firm continues to cope with losses so long as AR$\geq$AVC. Because, by covering variable costs, the firm is incurring the loss of fixed cost only which it has to incur even when production is discontinued.
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4 Marks Question - Economics STD 11 Commerce Questions - Vidyadip