Exercise 3 A firm has a long-run cost function Cl(y) = y 3 − 10y 2 + 30y. (1) Derive the firm’s long-run average cost function. (2) Derive the firm’s long-run marginal cost function. (3) Find the level of production with the lowest average cost.

Essentials of Economics (MindTap Course List)
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Chapter12: The Cost Of Production
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Exercise 3 A firm has a long-run cost function Cl(y) = y 3 − 10y 2 + 30y.

(1) Derive the firm’s long-run average cost function.

(2) Derive the firm’s long-run marginal cost function.

(3) Find the level of production with the lowest average cost.

(4) What is the long-run supply function for this firm?

(5) If the market price is p = $18, how much would the firm decide to produce?

 

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