Question

In: Economics

Imagine Bill operates a small business that manufactures teddy bears. Assume that the market for teddy...

Imagine Bill operates a small business that manufactures teddy bears. Assume that the market for teddy bears is perfectly competitive and the market price is $30 per teddy bear. The following table represents Bill's daily cost structure. Complete the columns: TVC, TFC, TR, Profit, MR and MC (Enter all numerical responses as whole numbers, i.e. zero decimal places)

Quantity

(bears per day)

TVC

TFC

TC

TR

Profit

MR

MC

0

$

$

$30

$

$

1

$

$

$50

$

$

$

$

2

$

$

$55

$

$

$

$

3

$

$

$70

$

$

$

$

4

$

$

$90

$

$

$

$

5

$

$

$120

$

$

$

$

6

$

$

$140

$

$

$

$

7

$

$

$185

$

$

$

$

According to the marginal approach, what is Bill's profit maximising/loss minimising quantity of teddy bears per day?

At this point, should Bill operate or shut down his business? (Type: 'operate' or 'shut down')

Suppose the market price falls to $20 per teddy bear. According to the marginal approach, what is Bill's profit maximising/loss minimising quantity of teddy bears per day?

At this point, should Bill operate or shut down his business? (Type: 'operate' or 'shut down')

Suppose the market price falls to $15 per teddy bear. According to the marginal approach, what is Bill's profit maximising/loss minimising quantity of teddy bears per day?

At this point, should Bill operate or shut down his business? (Type: 'operate' or 'shut down')

Solutions

Expert Solution

Suppose the market price is $ 30 per teddy bear :

Quantity
(bears per day)
TVC ( $) TFC ( $) TC ($ ) TR ($ ) Profit ($ ) MR ( $ ) MC ( $ ) AVC ( $ )
0 0 30 30 0 -30 0 0 0
1 20 30 50 30 -20 30 20 20
2 25 30 55 60 5 30 5 13
3 40 30 70 90 20 30 15 13
4 60 30 90 120 30 30 20 15
5 90 30 120 150 30 30 30 18
6 110 30 140 180 40 30 20 18
7 155 30 185 210 25 30 45 22

Bill's profit maximizing quantity is 5 , because at this level of output price is equal to marginal cost.

At this point Bill should operate because he is earning positive profit.

Suppose the market price falls to $ 20 per teddy bear :

Quantity
(bears per day)
TVC ( $) TFC ( $) TC ($ ) TR ($ ) Profit ($ ) MR ( $ ) MC ( $ ) AVC ( $ )
0 0 30 30 0 -30 0 0 0
1 20 30 50 20 -30 30 20 20
2 25 30 55 40 -15 20 5 13
3 40 30 70 60 -10 20 15 13
4 60 30 90 80 -10 20 20 15
5 90 30 120 100 -20 20 30 18
6 110 30 140 120 -20 20 20 18
7 155 30 185 140 -45 20 45 22

Bill's loss mimimizing quantity is 4 . At this quantity ,the maximization condition , P = MC is satisfied.

Bill should operate because at this level of output , price is greater than average variable cost ( AVC ).

Here price is $ 20 and AVC is $ 15

Suppose the market price falls to $ 15 per teddy bear :

Quantity
(bears per day)
TVC ( $) TFC ( $) TC ($ ) TR ($ ) Profit ($ ) MR ( $ ) MC ( $ ) AVC ( $ )
0 0 30 30 0 -30 0 0 0
1 20 30 50 15 -35 30 20 20
2 25 30 55 30 -25 15 5 13
3 40 30 70 45 -25 15 15 13
4 60 30 90 60 -30 15 20 15
5 90 30 120 75 -45 15 30 18
6 110 30 140 90 -50 15 20 18
7 155 30 185 105 -80 15 45 22

Bill's loss mimimizing quantity is 3 . At this quantity , the maximization condition , P = MC is satisfied.

Bill should operate because at this level of output , price is greater than average variable cost ( AVC ).

Here price is $ 15 and AVC is $ 13


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