Solve this problem set please

3. Short questions: True or False. J ustig your answers to the following questions in no more than 5 lines. (a) A perfectly competitive rm can increase its prots by producing the same amount that a monopolist would produce. (1)) To regulate a natural monopoly, the regulated price should equal the rm's marginal cost. (c) Suppose a monopolist has zero marginal cost (MC20). Then, at the optimal production level, the price effect and quantity effect must completely offset each other. (d) There are four consumers, Alice, Bob, Carol, and Damian. Their willingness to pay for a concert ticket are, 100, 70, 60, and 30, respectively. Alice and Carol are working adults, whereas Bob and Damian are students. The marginal cost per ticket is 40. If the monopoly engages in third-degree price discrimination then it would charge $100 to adults and offer a 30% discount to students