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?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60247ff0-32ae-4fa4-a365-66d106aa682d%2Fec7a7c85-8029-4354-a09a-94c07aaa2877%2Fc3v99y3q_processed.jpeg&w=3840&q=75)
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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