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This problem is about a monopoly. Let a monopolist's inverse demand function be given by p = 100 0.0002q which generates a marginal revenue function of MR 2 100 0.0004(1 Let Total Cost be given by TC = 100 + 2.8:; 0.005q2 + 0.0000011q3 Which has marginal cost of MC = 28 0.01131' + 0.0000031q2 This monopolist maximizes profit at q* = 6610.33 (to the nearest penny). For this problem find the following: ) Show that the profit maximizing output level is 6610.33 (to the nearest penny) ) Find the price at the profit maximizing output level. ) The cost per unit at the profit maximizing output level. ) Profit per unit at the profit maximizing output level. ) The total profit (or loss) at the profit maximizing output level