The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern Florida. To meet the monthly demand for electricity in these counties, which is given by the inverse demand function P= 1,200 – 4Q, the utility company has set up two electric generating facilities: Q kilowatts are produced at facility 1, and Q2 kilowatts are produced at facility 2 (so Q= Q+ Q). The costs of producing electricity at each facility are given by G(Q) = 8,000 + 6Q² and C2(Q2) = 6,000 + 3022, respectively. Determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company's profits. Instruction: Enter your responses rounded to two decimal places. Electricity at facility 1:[ units Electricity at facility 2:| units Price: $ Instruction: Use the rounded values calculated above. Enter your response rounded to the nearest two decimal places. Profits: $

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter5: Supply, Demand, And Price: Applications
Section: Chapter Questions
Problem 8QP
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The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern Florida. To meet the monthly
demand for electricity in these counties, which is given by the inverse demand function P= 1,200 – 4Q, the utility company has set up
two electric generating facilities: Q kilowatts are produced at facility 1, and Q2 kilowatts are produced at facility 2 (so Q= Q + Q2).
The costs of producing electricity at each facility are given by G(Q) = 8,000 + 6Q2 and C2(2) = 6,000 + 3022, respectively.
Determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company's
profits.
Instruction: Enter your responses rounded to two decimal places.
Electricity at facility 1:
units
Electricity at facility 2:
units
Price: $
Instruction: Use the rounded values calculated above. Enter your response rounded to the nearest two decimal places.
Profits: $
Transcribed Image Text:The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern Florida. To meet the monthly demand for electricity in these counties, which is given by the inverse demand function P= 1,200 – 4Q, the utility company has set up two electric generating facilities: Q kilowatts are produced at facility 1, and Q2 kilowatts are produced at facility 2 (so Q= Q + Q2). The costs of producing electricity at each facility are given by G(Q) = 8,000 + 6Q2 and C2(2) = 6,000 + 3022, respectively. Determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company's profits. Instruction: Enter your responses rounded to two decimal places. Electricity at facility 1: units Electricity at facility 2: units Price: $ Instruction: Use the rounded values calculated above. Enter your response rounded to the nearest two decimal places. Profits: $
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