In Tuftsville, everyone lives along Main Street, which is ten miles long. There are 1,000 people uniformly spread along Main Street, and every day, they each buy a fruit smoothie from one of the two shops located at either end of Main Street. Customers ride their motor scooters to and from their chosen shop using $0.25 worth of gas per mile (note that consumers must ride to and from the shop). Each consumer receives value V from consuming the smoothie, less the price paid and travel cost, and purchase from the shop that offers the greatest net value. Suppose that Smoothie King is located at mile 0 Main Street and Jamba Juice is located at mile 10 of Main street. The marginal cost of providing a smoothie for each shop is $1. (a) Report the net value a consumer located at position x receives when purchasing from Smoothie King. Report the net value a consumer located at position x receives when purchasing from Jamba Juice. (b) Find the location of the consumer indifferent between Smoothie King and Jamba Juice for prices p1 and p2. (c) If p1 = p2, where is this consumer located?