Question

A hotel rental service needs to have clean towels for each day of a three-day period. Some of the clean towels may be purchased new and some may be dirty towels from previous days that have been washed by a laundry service. The cost of new towels is $1 per towel, the cost of a fast one-day laundry serice is 40¢ per towel, and the cost of a slow two-day laundry service is 25¢ per towel. If the rental service needs 300,200, and 400 clean towels for each of the next three days (respectively), how many towels should the rental service buy new and how many should the rental service have washed by the different laundry services so as to minimize total costs?

The solution is minC=570 at (x,y,z,w)=(400,100,200,200), please use hand-writing for the process.

Answer 1

The leaving variable is S2 and entering variable is x.

The leaving variable is S3 and the entering variable is y.

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