Suppose there are 1000 people on a beach. The beach is 1000 feet long and runs from north to south. The people are evenly distributed along the beach-that is, as one moves along the beach, there is one person every foot. For the purposes of this question, a "location" on the beach equals the number of feet from the southem end of the beach. For example, location 200 is 200 feet from the southern end of the beach and 800 feet from the northern end of the beach. There are two ice cream stands on the beach; call them A and B. Assume that everyone on the beach buys one cone of ice cream during the day and chooses the ice cream stand that is closest to them. Each ice cream stand makes $2 of profit on each customer it attracts. For example, if 400 people choose stand A, and the rest choose stand B, then the payoff to stand A is $800, and the payoff to stand B is $1,200. Initially, stand A is at location 750, and stand B is at location 250. On the following graph, place a horizontal black line (plus symbol) indicating the location of the Dividing Line. The Dividing Line is the location on the beach where people are indifferent between going to A and going to B. That is, everyone who is located north of the Dividing Line goes to stand A, and everyone located south of the Dividing Line goes to stand B. Next, use the green rectangle (triangle symbols) to shade in the entire area of the beach (but not the ocean) where the customers go to stand A-that is, the section of the beach north of the Dividing Line. Finally, use the purple rectangle (diamond symbols) to shade in the entire area of the beach (but again, not the ocean) where the customers go to stand B. Stand A will make a profit of , and stand B will make a profit of Place a horizontal black line (plus symbol) on the graph indicating the location of the new Dividing Line. Next, use the green rectangle (triangle symbols) to shade in the entire area of the beach (but not the ocean) where the customers go to stand A-that is, the section of the beach north of the new Dividing Line. Finally, use the purple rectangle (diamond symbols) to shade in the entire area of the beach (but again, not the ocean) where the customers go to stand B. Stand A will make a profit of , and stand B will make a profit of Assume that if the two stands are at the same location, they each get a payoff of $1,000. The Nash equilibrium of the location game between the two ice cream stands would be as follows: stand A would be at location and stand B would be at location neither stand would have an incentive to move. If the ice cream stands were each located in the middle of the beach, the longest anyone would have to walk for a cone of ice cream would be the feet. If the ice cream stands were located at the initial locations of 250 and 750 , the longest anyone would have to walk for a cone of ice cream would be feet