In: Economics
The following table represents short run cost-revenue information (in dollars) for a firm in a competitive market.
Q |
P |
TR |
MR |
MC |
TC |
Total Profit |
0 |
0 |
N/A |
N/A |
1000 |
||
1 |
200 |
1200 |
||||
2 |
400 |
1340 |
||||
3 |
600 |
60 |
||||
4 |
800 |
1420 |
||||
5 |
1000 |
1440 |
||||
6 |
1200 |
60 |
||||
7 |
1400 |
80 |
1580 |
|||
8 |
1600 |
140 |
||||
9 |
1800 |
|||||
10 |
2000 |
(a) Fill in all the blanks above using the following information: The Market Price is $200 per unit of output, the VC of producing 9 units of output is $920, and the ATC of producing 10 units of output is $220
(b) Where does diminishing returns start? Explain your answer.
(c) What is the Fixed Costs for this firm? Explain your answer.
(d) In the Short Run, if this firm would go into production, determine the profit maximizing (or loss minimizing) level of output and profit amount.
(e) In the Short Run, if this firm would instead shutdown without going into production, determine its production amount and profit amount.
(f) Please determine the best course of action for this firm in the Short Run. Please explain your reasoning.
(g) Based on the data above, in the Long Run, explain what this firm should do and why the firm should pick this course of action.
Q | P | TR | MR | MC | TC | PROFIT | ATC | VC | AVC |
0 | 200 | 0 | N/A | N/A | 1000 | -1000 | #DIV/0! | 0 | |
1 | 200 | 200 | 200 | 200 | 1200 | -1000 | 1200 | 200 | 200 |
2 | 200 | 400 | 200 | 140 | 1340 | -940 | 670 | 340 | 170 |
3 | 200 | 600 | 200 | 60 | 1400 | -800 | 466.6667 | 400 | 133.3333 |
4 | 200 | 800 | 200 | 20 | 1420 | -620 | 355 | 420 | 105 |
5 | 200 | 1000 | 200 | 20 | 1440 | -440 | 288 | 440 | 88 |
6 | 200 | 1200 | 200 | 60 | 1500 | -300 | 250 | 500 | 83.33333 |
7 | 200 | 1400 | 200 | 80 | 1580 | -180 | 225.7143 | 580 | 82.85714 |
8 | 200 | 1600 | 200 | 140 | 1720 | -120 | 215 | 720 | 90 |
9 | 200 | 1800 | 200 | 200 | 1920 | -120 | 213.3333 | 920 | 102.2222 |
10 | 200 | 2000 | 200 | 280 | 2200 | -200 | 220 | 1200 | 120 |
TR=P*Qa) P=200
MR=change in TR/change in Q
MC=change in TC/change in Q
TC=FC+VC
FC=1000
PROFIT = TR-TC
b) Diminishing returns sets in when the firm produces Q=6 units as the Marginal cost per output starts increasing.
c) Fixed costs for this firm is 1000 as when the firm produces 0 output,it still incurs total cost equal to its fixed cost and as we can see from the table that when Q=0,TC=1000 so FC=1000 constant.
d) In the short run,the firm will set its P=MC to find the profit maximizing or the loss minimizing output level
so setting P=MC,the loss minimizing output is Q=9 units
e) if it shuts down then it will produce 0 units and incur total loss equal to its fixed cost of 1000 therefore profits = -1000.
f) In the short run this firm should produce because the price is greater than its minimum AVC which means that this firm is able to recover its variable cost and instead of shutting down, it should continue to produce to minimize its losses as by producing its making loss of only -120 whereas by shutting down, it will make loss of -1000.
g) In the long run,the firm should exit the market as it is unable to recover its total cost and the price is less than its minimum ATC which means that it will be unable to recover its total cost and continue to make losses so it should exit the market in the long run to avoid making losses.