Joe's HotDog Shack has eat-in and carry-out customers. The demand curve for carry-out customers is QC = 1000 - 2000PC, and the demand for eat-in customers is QI = 6000-1000PI, where Q is the quantity of hotdogs demanded. The marginal cost of hotdogs is constant at $1.20.

a. What are the price and quantity sold of hotdogs if Joe charges eat-in and carry-out customers the same price for hotdogs? What profit would Joe earn?

b. What are the price and quantity sold of hotdogs in the carry-out market if Joe segments the market for hot dogs and charges different prices for carry-out and eat-in customers?

c. What are the price and quantity sold of hotdogs in the carry-out market if Joe segments the market for hot dogs and charges different prices for carry-out and eat-in customers?

d. What are the total profits for Joe if the markets are segmented?