Chapter 5.6, Problem 81E

To determine

To find:

To maximize the storage capacity within the limits imposed by funds and space and to find the number of each type of cabinet to by, an office manager wants to buy some filing cabinets. Cabinet A costs $10 each, requires $6{\text{ft}}^2$ of floor space, and holds $8{\text{ft}}^2$ of files. Cabinet B casts $20 each, requires $8{\text{ft}}^2$ of floor space, and holds $12{\text{ft}}^2$ of files. He can spend no more than $140, and there is room for no more than $72{\text{ft}}^2$ of cabinets.