The owner of Genuine Subs, Inc., hopes to expand the present operation by adding one new outlet. She has studied three locations. Each would have the same labor and materials costs (food, serving containers, napkins, etc.) of $1.80 per sandwich. Sandwiches sell for $2.50 each in all locations. Rent and equipment costs would be $5,040 per month for location A, $5,560 per month for location B, and $5,730 per month for location C. Required:
a. Determine the volume necessary at each location to realize a monthly profit of $10,500.
b. If expected sales at A, B, and C are 20,800 per month, 22,000 per month, and 22,800 per month, respectively, calculate the profit of each location.
c. Which location would yield the greatest profits?