Suppose that the marginal cost function of a manufacturer is MC, MC = - 4q square + 40Q - 200, and the total cost of producing 10 units of output is 1000, MC = - 4q square + 40Q - 200, and the total cost of producing 10 units of output is 1000. Solve the fixed cost, total cost function and average cost function

Suppose that the marginal cost function of a manufacturer is MC, MC = - 4q square + 40Q - 200, and the total cost of producing 10 units of output is 1000, MC = - 4q square + 40Q - 200, and the total cost of producing 10 units of output is 1000. Solve the fixed cost, total cost function and average cost function

According to MC = - 4q ^ 2 + 40q-200, we can set TC = (- 4 / 3) Q ^ 3 + 20q ^ 2-200q + C
Because the total cost of producing 10 units of output is 1000, so 1000 = (- 4 / 3) 1000 + 20x100-2000 + C, so C = 7000 / 3, which is the fixed cost