Site Selection A company operating a chain of supermarkets plans to open a new store in 1 of 2 possible locations. From a survey of the two locations, the company estimates that the first location will show an annual profit of $15,000 if it is successful versus a loss of $3000 if it is unsuccessful. For the second location, the estimated annual profit is $20,000 if successful or a loss of $6000 if unsuccessful. (a) If the probability of success at each location is 0.5, which location should the company choose in order to maximize its expected profit? (Hint: the profit at the first location is $15,000 * p - $3000 * ( 1 - p ), where p is the probability of success at the first location; similarly for the second location)