A firm in a purely competitive industry is currently producing 1,200 units per day at a total cost of $600. If the firm produced 1,000 units per day, its total cost would be $350, and if it produced 700 units per day, its total cost would be $225.
a. What are the firm's ATC at these three levels of production?
i. At 1,200 units per day, ATC = $.
ii. At 1,000 units per day, ATC = $.
iii. At 700 units per day, ATC = $.
b. If all firms have the same cost structure, what is the highest possible price per unit that could exist as the market price in long-run equilibrium?
(a)
(i) Total cost of producing 1200 units is $600.
ATC = (Total cost / Output produced)
ATC = ($600 / 1200)
ATC = $0.5
At 1200 units per day, ATC = $0.5
(ii) Total cost of producing 1000 units is $350.
ATC = (Total cost / Output produced)
ATC = ($350 / 1000)
ATC = $0.35
At 1000 units per day, ATC = $0.35
(iii) Total cost of producing 700 units is $225
ATC = (Total cost / Output produced)
ATC = ($225 / 700)
ATC = $0.32
At 700 units per day, ATC = $0.32
(b) The firm is currently producing 1200 units. The firm is not in long-run equilibrium because the ATC at the 1200 units of output is higher than the ATC of producing 700 units.
The highest possible price per unit in the long-run equilibrium would be $0.32, the lowest ATC.
Long-run equilibrium condition of a perfectly competitive firm is given below;
P = MC = min. ATC
Answer: $0.32
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