A manufacturer of the electric heater can produce 15 heaters per day. Sales experience indicate that the manufacturer can sell x electric heaters per week at price, Where P + 4x = 600. Production record shows that the cost of producing x electric heater per week is C(x) = 400 + 100x + 3x2 and the average tax of each heater is Rs 50. The manufacturer adds the tax in the cost. a. Find the weekly revenue function, cost function and the profit function. b. Find the marginal revenue and marginal cost function. c. Find the weekly maximum profit. d. Show that the marginal revenue and marginal cost are equal at the point where the profit is maximum.
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