4. (a) A firm's marginal cost function is MC = 2

Find an expression for the total cost function if the fixed costs are 500. Hence find the total cost of producing 40 goods.

(b) The marginal revenue function of a monopolistic producer is MR = 100 6Q Find the total revenue function and deduce the corresponding demand function. (c) Find an expression for the savings function if the marginal propensity to save is given by MPS = 0.4 0.1Y1/2 and savings are zero when income is 100.

*Please use the integration method*