QUESTION 4 Suppose an electric generating firm is the sole generator and provider of electricity in the 10 Regions of Ghana. To meet the monthly demand for electricity in the regions, given by the demand function Q = 100 - 0.2P, 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 that Q = Q1 + Q2. The costs of producing electricity at each facility are given by C, (Q1) = 5000 + 5Q, and C2 (Q2) = 2000 + 2Q23, respectively. Determine the, (a) profit-maximizing amount of electricity to produce at the two facilities 16 Marks (b) optimal price and the utility company's profit 4 Marks