10 logging firms use a forest to collect timber. Each firm i must choose how many trees to cut, gj. The benefit of cutting a tree is 1000 –2G per tree, where G is the total quantity of trees cut in the forest. The marginal cost of cutting a tree is 10G. Firms do not face any fixed costs. What is the best response function for firm i? 10 500 - 2j= 1.j = 19j O 9i = 7 10 1000 – 2Ej=1.j z,9 j O 9; = 10 1000 - 22j = 19j O 9; = 7 10 500 - O 9; = 9.

ENGR.ECONOMIC ANALYSIS
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10 logging firms use a forest to collect timber. Each firm i must choose how many trees to cut, gj. The benefit of cutting a tree is 1000 – 2G per
tree, where G is the total quantity of trees cut in the forest. The marginal cost of cutting a tree is 10G. Firms do not face any fixed costs. What is
the best response function for firm i?
10
j = 1,j = .
O 9j =
7
10
1000 – 22j= 1.j =¡9j
,10
1000 – 22=19j
O 9j =
7
10
500-Σ-19,
Transcribed Image Text:10 logging firms use a forest to collect timber. Each firm i must choose how many trees to cut, gj. The benefit of cutting a tree is 1000 – 2G per tree, where G is the total quantity of trees cut in the forest. The marginal cost of cutting a tree is 10G. Firms do not face any fixed costs. What is the best response function for firm i? 10 j = 1,j = . O 9j = 7 10 1000 – 22j= 1.j =¡9j ,10 1000 – 22=19j O 9j = 7 10 500-Σ-19,
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