Exercise 4 Hack's Berries faces a short-run total cost of production given by STC (q) = q³12q² + 100q + 1,000, where q is the number of crates of berries produced per day. All fixed costs are sunk (unrecoverable). a) Find the short-run marginal cost curve, SMC (q). b) Find the average variable cost curve, AVC(q). c) Find the level of output corresponding to the minimum level of the firm's average variable cost curve. [Hint: At the minimum level of the average variable cost curve, it crosses with the short-run marginal cost curve. Set AVC(q) = SMC(q) and solve for q] d) If berries sell for p = $60 per crate, how many berries should Hack produce? How do you know? [Hint: Find the average variable cost of producing the output you found in part (c) and think how this value helps to decide how many berries to produce]

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Show full answers & steps to part b) c) & d)
Exercise 4
Hack's Berries faces a short-run total cost of production given by
STC(q) = q³ 12q² + 100q + 1,000, where q is the number of crates of berries produced per
day. All fixed costs are sunk (unrecoverable).
a) Find the short-run marginal cost curve, SMC(q).
b) Find the average variable cost curve, AVC(q).
c) Find the level of output corresponding to the minimum level of the firm's average variable
cost curve. [Hint: At the minimum level of the average variable cost curve, it crosses with
the short-run marginal cost curve. Set AVC(q) = SMC(q) and solve for q]
d) If berries sell for p = $60 per crate, how many berries should Hack produce? How do you
know? [Hint: Find the average variable cost of producing the output you found in part (c)
and think how this value helps to decide how many berries to produce]
Transcribed Image Text:Exercise 4 Hack's Berries faces a short-run total cost of production given by STC(q) = q³ 12q² + 100q + 1,000, where q is the number of crates of berries produced per day. All fixed costs are sunk (unrecoverable). a) Find the short-run marginal cost curve, SMC(q). b) Find the average variable cost curve, AVC(q). c) Find the level of output corresponding to the minimum level of the firm's average variable cost curve. [Hint: At the minimum level of the average variable cost curve, it crosses with the short-run marginal cost curve. Set AVC(q) = SMC(q) and solve for q] d) If berries sell for p = $60 per crate, how many berries should Hack produce? How do you know? [Hint: Find the average variable cost of producing the output you found in part (c) and think how this value helps to decide how many berries to produce]
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