A firm has the cost function c(y) = y2+1 and can sell its output at a price of p. a) compute and sketch the fixed costs F, the variable costs VC, the average costs AC, the average variable costs AVC and the marginal costs MC, b) Derive the firm's inverse supply curve and the supply curve. c) What output level minimizes average costs?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Chapter11: Price And Output Determination: Monopoly And Dominant Firms
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Problem 2
A firm has the cost function c(y) = y2+1 and can sell its
output at a price of p.
a) compute and sketch the fixed costs F, the variable costs
VC, the average costs AC, the average variable costs AVC,
and the marginal costs MC,
b) Derive the firm's inverse supply curve and the supply
curve.
c) What output level minimizes average costs?
d) Compute the maximum profit as a function of p.
e) Compute the producer's surplus for p = 5 and p = 6.
f) find the minimum price needed by a competitive firm in
order to cover variable costs.
Transcribed Image Text:Problem 2 A firm has the cost function c(y) = y2+1 and can sell its output at a price of p. a) compute and sketch the fixed costs F, the variable costs VC, the average costs AC, the average variable costs AVC, and the marginal costs MC, b) Derive the firm's inverse supply curve and the supply curve. c) What output level minimizes average costs? d) Compute the maximum profit as a function of p. e) Compute the producer's surplus for p = 5 and p = 6. f) find the minimum price needed by a competitive firm in order to cover variable costs.
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