3. Suppose we have three people who have different willingness to pay sched- ules, which are A MWTP = 100 - Q B MWTP = 110 - 1.1Q C MWTP = 120 - 1.2Q Further, the marginal cost of the good is MC = 10 + .5Q (a) If this good is a" public" good, aggregate the MWTP schedules and calculate the socially optimal quantity. What is each person's MWTP for this quantity? (b) If this good is a private good (i.e. pizza), aggregate the MWTP in the appropriate manner and solve for the socially optimal (equilibrium) quantity and price. How much of the good does each person consume? th CamScanner