An office manager decides to purchase computer for each office worker. Dell computers cost $900 each and will provide 64K storage capability and will

take up 5 sq. ft of desk space. Toshiba computers will cost $1200 each, will provide 128K storage and will take up 3sq ft desk space. Proper utilization requires that a total of not more than 165sq ft be used this new equipment. If there is $36,000 available to spend on computers, how many of each type of computer should the office manager purchase if he/she wishes to maximize storage capacity?

Solution:

Dell: x

Toshiba: y

So

900x+1200y<=36000

5x+3y<=165

C = 64x+128y

When x=0, y=30, C is max

So he should buy 0 Dell and 30 Toshiba to maximize storage capacity