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)

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter11: Public Goods And Common Resources
Section: Chapter Questions
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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)
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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