5) Sarah's Pretzel plant has the following short-run cost function: Cg, K) wg3 + 50K where q is Sarah's 312 1000K output level, w is the cost of a labor hour, and K is the number of pretzel machines Sarah leases. Sarah's short-run marginal cost curve is MCq, K) = -Swg At the moment, Sarah leases 10 pretzel machines, the 1000K/2 cost of a labor hour is $6.85, and she can sell all the output she produces at $35 per unit. If the cost per labor hour rises to $7.50, what happens to Sarah's optimal level of output and profits?
5) Sarah's Pretzel plant has the following short-run cost function: Cg, K) wg3 + 50K where q is Sarah's 312 1000K output level, w is the cost of a labor hour, and K is the number of pretzel machines Sarah leases. Sarah's short-run marginal cost curve is MCq, K) = -Swg At the moment, Sarah leases 10 pretzel machines, the 1000K/2 cost of a labor hour is $6.85, and she can sell all the output she produces at $35 per unit. If the cost per labor hour rises to $7.50, what happens to Sarah's optimal level of output and profits?
Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter7: Production, Costs, And Industry Structure
Section: Chapter Questions
Problem 33CTQ: Average cost curves (except for avenge fixed cost) tend to be U-shaped, decreasing and then...
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Transcribed Image Text:5) Sarah's Pretzel plant has the following short-run cost function: C(g, K)
wg3
+ 50K where q is Sarah's
%3D
3/2
1000K
output level, w is the cost of a labor hour, and K is the number of pretzel machines Sarah leases. Sarah's
Zwq2
short-run marginal cost curve is Mc(g, K) =
1000K
At the moment, Sarah leases 10 pretzel machines, the
3/2
cost of a labor hour is $6.85, and she can sell all the output she produces at $35 per unit. If the cost per labor
hour rises to $7.50, what happens to Sarah's optimal level of output and profits?
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