# Linear programming

An office manager needs to buy new filing cabinets. Cabinet A costs $7, and takes up 6 square feet of floor space, and holds 9 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 13 cubic feet. He has only $66 to spend and the office has room for no more than 60 square feet of cabinets. (Find the Objective Function and the Constraints; Let Cabinet A be "x", and Cabinet B be "y") How many of each can be bought to maximize storage capacity? What is the maximum storage capacity?

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An office manager needs to buy new filing cabinets. Cabinet A costs $7, and takes up 6 square feet of floor space, and holds 9 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 13 cubic feet. He has only $66 to spend and ...

#### Solution Summary

This shows how to use linear programming to solve a maximization problem regarding file cabinets in an office.