9. A soot spewing blacksmith producing steel S is located near a laundry where clean clothes are hung on the line to dry. Soot from the smith increases the costs of the cleaner: CL = L² + 4S. The cleaner is a price taker who charges a price of P = $10 per unit of output. The blacksmith has cost function Cs = S2 and sells output at Ps = $40. Compute the noncooperative solution L = and S = Compute the cooperative solutions L = and S = Demonstrate that a per-unit tax of t = could induce the cooperative outcome.
9. A soot spewing blacksmith producing steel S is located near a laundry where clean clothes are hung on the line to dry. Soot from the smith increases the costs of the cleaner: CL = L² + 4S. The cleaner is a price taker who charges a price of P = $10 per unit of output. The blacksmith has cost function Cs = S2 and sells output at Ps = $40. Compute the noncooperative solution L = and S = Compute the cooperative solutions L = and S = Demonstrate that a per-unit tax of t = could induce the cooperative outcome.
Chapter11: The Firm: Production And Costs
Section: Chapter Questions
Problem 21P
Related questions
Question
![9.
A soot spewing blacksmith producing steel S is located near a laundry where clean clothes are hung on the line to
dry. Soot from the smith increases the costs of the cleaner: CL = L2 + 4S. The cleaner is a price taker who charges a
price of PL = $10 per unit of output. The blacksmith has cost function Cs = S and sells output at Ps = $40. Compute
the noncooperative solution L =
and S =
Compute the cooperative solutions L =
and S =
Demonstrate that a per-unit tax of t =
could induce the cooperative
outcome.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1145b079-514e-4601-8d44-2100a2771d44%2F2d26967e-219b-4069-aaa9-0211891744d2%2Ffshy189_processed.png&w=3840&q=75)
Transcribed Image Text:9.
A soot spewing blacksmith producing steel S is located near a laundry where clean clothes are hung on the line to
dry. Soot from the smith increases the costs of the cleaner: CL = L2 + 4S. The cleaner is a price taker who charges a
price of PL = $10 per unit of output. The blacksmith has cost function Cs = S and sells output at Ps = $40. Compute
the noncooperative solution L =
and S =
Compute the cooperative solutions L =
and S =
Demonstrate that a per-unit tax of t =
could induce the cooperative
outcome.
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