Question

Assume that the following cost data are for a purely competitive producer Total Product Average Fixed Cost Marginal Cost na $
(b) At a product price of $56.00 At a product price of $41.00 At a product price of 532.00 Will this firm produce in the shor
e. Now assume that there are 1,500 identical firms in this competitive industry, that is, there are 1,500 firms, each of whic
What will be the equilibrium price? $ What will be the equilibrium output for the industry? For each firm? units. Instruction
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Answer #1
At a product price of $56 At a product price of $41 At a product price of $32
Will a firm produce in the short run Yes, yes Not applicable 0 ( as the firm will not produce, since P is < Minimum AVC of $37.
Profit-maximizing or loss-minimizing output 8 units (MR>MC) 6 units (MR >MC) Not applicable 0 ( as the firm will not produce
Economic Profit per unit of output $56-$48.13=$7.87 per unit profit Loss. -$41-$47.50=$6.50. Not applicable 0 ( as the firm will not produce
Profit-maximizing output for a perfectly competitive firm in the short run is P=MC.
The shut-down point is the minimum SAVC. A firm will supply as long as its minimum SAVC is covered. This will minimize the economic loss as the fixed costs are already incurred
Economic profit = Total revenue – total costs ( implicit + explicit)
At $56, applying P=MC, it will produce 8 units as MR (P=$56) exceeds MC of $55.
The ATC is $48.13, so economic profit per unit is $56-48.13=$7.87 per unit profit.
At $41, applying P=MC, it will produce 6 units as MR (P=$41) exceeds MC of $ 40.. .
The AVC is $37.50, the firm will produce in the short run because P > minimum AVC.
The ATC at 6 units of output is $47.50 which exceeds the Price. The firms will suffer a loss. The loss per unit is $47.50-$41=$6.50.

At price of $32 per unit, the firm will not produce as this is below the minimum AVC of $37 per unit.

d) and e)
MC cuts AVC from below at the minimum point on the AVC curve. Beyond that MC rises. It becomes the supply curve of the firm as the firm will produce when P > minimum AVC.
Price $ Quantity supplied by single firm Profit or loss Quantity supplied by 1500 firms ( multiply the quantity supplied by a single firm by 1500 firms)
26 0 $-60 (loss) 0
32 0 $-60 (loss) 0
38 5 $-55(loss) 7500
41 6 $-39 (loss) 9000
46 7 $-8 (loss) 10500
56 8 $63 (profit) 12000
66 9 $144 profit 13500
f)
Price $ Quantity demanded Quantity supplied
26 17,000 0
32 15,000 0
38 13,500 7500
41 12,000 9000
46 10,500 10500
56 9,500 12000
66 8,000 13500
Equilibrium price is $46.
Equilibrium output is 10,500
Each firm will supply 7 units.
Loss of $8 per firm ($1.14*7).
Firms will exit as P<ATC, the industry will contract.
At 7 units, ATC is $47.14 which is less than the equilibrium price of $46.
e) MC cuts AVC from below at the minimum point on the AVC curve. Beyond that MC rises. It becomes the supply curve of the firm as the firm will produce when P > minimum AVC.
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