In: Economics
Q1. Assume a perfectly competitive firm's total cost (TC) for differents levels of oututes Q is given by:
Q TC
0 50
1 100
2 140
3 170
4 190
5 210
6 230
7 260
8 300
9 350
10 410
In the table format for the range of output (Q) provided determine: average total costs, average fixed cost, average variable costs, and marginal costs. At a price of $35 how many units will be produced in the short run? At this price how many units will be produced in long run?
Following is the required table -
Q | TC | FC | VC | ATC (TC/Q) | AFC (FC/Q) | AVC (VC/Q) | MC |
0 | 50 | 50 | - | - | - | - | - |
1 | 100 | 50 | 50 | 100 | 50 | 50 | 50 |
2 | 140 | 50 | 90 | 70 | 25 | 45 | 40 |
3 | 170 | 50 | 120 | 56.67 | 16.67 | 40 | 30 |
4 | 190 | 50 | 140 | 47.50 | 12.50 | 35 | 20 |
5 | 210 | 50 | 160 | 42 | 10 | 32 | 20 |
6 | 230 | 50 | 180 | 38.33 | 8.33 | 30 | 20 |
7 | 260 | 50 | 210 | 37.14 | 7.14 | 30 | 30 |
8 | 300 | 50 | 250 | 37.50 | 6.25 | 31.25 | 40 |
9 | 350 | 50 | 300 | 38.88 | 5.55 | 33.33 | 50 |
10 | 410 | 50 | 360 | 41 | 5 | 36 | 60 |
In short-run, a perfectly competitve firm produce that level of output corresponding to which price equals MC or upto that lebel of output upto which price exceeds MC.
If price is $35 per unit then this price exceeds MC upto production of 7 units of output.
So, in short-run, firm will produce 7 units.
In long-run, firm produces that level of output corresponding to which price equals minimum ATC.
Minimum ATC is $37.14. The Price is $35.
Since, price is less than minimum ATC, firm will not operate in long-run.
It will exit the market in the long-run.