Suppose there are two customers, whose utilities are given by ui(xi)+yi, where ui=2i[1(1xi)2], for 1>2>0,yi=0 Suppose that marginal and average cost is a constant c21. a. Calculate the optimal non-uniform, nonlinear pricing schedule for the monopolist (i.e., optimal first degree price discrimination). b. Calculate the optimal uniform, nonlinear pricing schedule for the monopolist (i.e., optimal second degree price discrimination). c. Calculate the optimal non-uniform, linear pricing schedule for the monopolist (i.e., optimal third-degree price discrimination). d. Calculate the optimal uniform, linear pricing schedule for the monopolist (i.e., classic monopoly price). Suppose there are two customers, whose utilities are given by ui(xi)+yi, where ui=2i[1(1xi)2], for 1>2>0,yi=0 Suppose that marginal and average cost is a constant c21. a. Calculate the optimal non-uniform, nonlinear pricing schedule for the monopolist (i.e., optimal first degree price discrimination). b. Calculate the optimal uniform, nonlinear pricing schedule for the monopolist (i.e., optimal second degree price discrimination). c. Calculate the optimal non-uniform, linear pricing schedule for the monopolist (i.e., optimal third-degree price discrimination). d. Calculate the optimal uniform, linear pricing schedule for the monopolist (i.e., classic monopoly price)