Question
3. ( 5 points ) The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern Florida.
3. (5 points) 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 represented by the estimate inverse demand function P = 1,200 - 4Q,
marginal revenue function is MR = 1,200 - 8Q,
the utility company has set up two electricity generating facilities: Q1 kilowatts are produced at facility 1 and Q2 kilowatts are produced at facility 2 (so Q = Q1 + Q2).
The costs of producing electricity at each facility are estimated as
C1(Q1) = 8,000 + 6Q12 and MC1 = 12Q1 and
C2(Q2) = 6,000 + 3Q22 and MC2 = 6Q2, respectively.
Determine the profit maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company's profits. Please show your calculations.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started