In: Economics
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')
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