A company operates two plants which manufacture the same item and whose total cost functions are C₁ = 5.1 +0.04(91)² and C₂ = 7.4 + 0.02(92)², where q₁ and q₂ are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q = 91 + 92, is related to the price, p, by p = 40 -0.02q. How much should each plant produce in order to maximize the company's profit?¹ 91 = 92 || i

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter25: Monopoly
Section: Chapter Questions
Problem 10E
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A company operates two plants which manufacture the same item and whose total cost functions are
C₁ = 5.1 +0.04(q₁)² and C₂ = 7.4 + 0.02(92)²,
where q1 and 2 are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q = 91 + 92, is
related to the price, p, by
p = 40 -0.02q.
How much should each plant produce in order to maximize the company's profit?¹
91 =
i
92 =
i
Transcribed Image Text:A company operates two plants which manufacture the same item and whose total cost functions are C₁ = 5.1 +0.04(q₁)² and C₂ = 7.4 + 0.02(92)², where q1 and 2 are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q = 91 + 92, is related to the price, p, by p = 40 -0.02q. How much should each plant produce in order to maximize the company's profit?¹ 91 = i 92 = i
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