A steel firm creates water pollution for a downstream fishery. The price and cost functions for steel and fish are as follows: Price of steel 30 Cost function for steel Csteel(s,x) 6s + 3s? – 20x + 2x? Price of fish 50 Cost function for fish Cfish(f,x) 20f+5f² + 14x +x? (a) How much steel (s), pollution (x) and fish (f) will the steel and fish plants produce if the are merged and act to maximize joint profit? (Maximise joint profit)
A steel firm creates water pollution for a downstream fishery. The price and cost functions for steel and fish are as follows: Price of steel 30 Cost function for steel Csteel(s,x) 6s + 3s? – 20x + 2x? Price of fish 50 Cost function for fish Cfish(f,x) 20f+5f² + 14x +x? (a) How much steel (s), pollution (x) and fish (f) will the steel and fish plants produce if the are merged and act to maximize joint profit? (Maximise joint profit)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![A steel firm creates water pollution for a downstream fishery. The price and cost functions
for steel and fish are as follows:
Price of steel
30
Cost function for steel Csteel(s,x)
6s + 3s? – 20x + 2x²
Price of fish
50
Cost function for fish Cfish(f,x)
20f+5f² + 14x +x?
(a) How much steel (s), pollution (x) and fish (f) will the steel and fish plants produce if they
are merged and act to maximize joint profit? (Maximise joint profit)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f3cee20-f091-47a8-bc70-8d141af0c480%2Fda451f1e-ea8a-4c5a-8e94-9ec100136a19%2F9yy7im3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A steel firm creates water pollution for a downstream fishery. The price and cost functions
for steel and fish are as follows:
Price of steel
30
Cost function for steel Csteel(s,x)
6s + 3s? – 20x + 2x²
Price of fish
50
Cost function for fish Cfish(f,x)
20f+5f² + 14x +x?
(a) How much steel (s), pollution (x) and fish (f) will the steel and fish plants produce if they
are merged and act to maximize joint profit? (Maximise joint profit)
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