The Bookstore sells computers and printers. The computers are shipped in 12-cubic-foot boxes and printers in 8-cubic-foot boxes. The Bookstore estimates that at least 30 computers can be sold each month and that the number of computers sold will be at least 50% more than the number of printers. The computers cost the store $1000 each and are sold for a profit of $1000.
The printers cost $300 each and are sold for a profit of $350. The store has a backroom that can hold 1000 cubic feet and it can spend $70,000 each month on computers and printers.
a. Formulate a Linear Programming model.
b. Graph the solution space and identify the feasible solution points.
c. How many computers and how many printers should be sold each month to maximize profit, and what is that maximum profit?