Use Linear Programming to Solve Problems
-An Office Manager Is $\$ 5$

question 233

Multiple Choice

Use Linear Programming to Solve Problems
-An office manager is buying used filing cabinets. Each small file cabinet costs $\$ 5$ , takes up 7 square feet of floor space, and holds 8 cubic feet of files. Each large file cabinet costs $\$ 10$ , takes up 9 square feet of floor space, and holds 14 cubic feet of files. The total cost cannot exceed $\$ 90$ , and the office has no more than 101 square feet of floor space available for the cabinets. How many of each file cabinet should the manager buy to maximize storage capacity? What is the maximum storage capacity?

• A) 8 small file cabinets and 5 large file cabinets; 134 cubic feet
• B) 5 small file cabinets and 8 large file cabinets; 176 cubic feet
• C) 0 small file cabinets and 13 large file cabinets; 182 cubic feet
• D) 13 small file cabinets and 0 large file cabinets; 104 cubic feet