9. Suppose that the demand equation for a monopolist is p = 100 – 0.01.x and the cost function is C(x) = 50x + 10, 000. (a) Find the marginal cost. (b) Find the value of x that maximizes the profit and determine the corresponding price and total profit for this level of production. (Answer: Produce 2500 units and sell them at $75 per unit. The profit will be $52,500).

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