Find the optimal outputs and capacity for problem

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An electric company is setting up a power plant in a foreign country and it has to plan its capacity. The peak period demand for power is given by p1 = 400 - ql and the off-peak demand is given by p2 = 380 - qz, where q; is the units of power demanded and pi is the price for each unit of power in each market. The variable cost is 20 per unit of power [paid in both markets}. Capacity costs 113 per unit and is only paid once and used in both periods.

(a) Write down the Lagrangian and constraints to maximize profit.

(b) Find the optimal outputs and capacity for this problem.

Reference no: EM133065231

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