he 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: 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 given by C1(Q1) = 8,000 + 6Q1 2 and C2(Q2) = 6,000 + 3Q2 2, respectively. Determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profits. (LO1, LO8)
The second-largest public utility in the nation is the sole provider of electricity in 32
counties of southern Florida. To meet the monthly
which is given by the inverse demand function P = 1,200 − 4Q, the utility company
has set up two electric 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 given by C1(Q1) = 8,000 + 6Q1
2 and C2(Q2) = 6,000 + 3Q2
2,
respectively. Determine the profit-maximizing amounts of electricity to produce at the
two facilities, the optimal
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