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A hotel rental service needs to have clean towels for each day of a three-day period....

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Advance Math

A hotel rental service needs to have clean towels for each dayof a three-day period. Some of the clean towels may be purchasednew and some may be dirty towels from previous days that have beenwashed by a laundry service. The cost of new towels is $1 pertowel, 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. Ifthe rental service needs 300,200, and 400 clean towels for each ofthe next three days (respectively), how many towels should therental service buy new and how many should the rental service havewashed by the different laundry services so as to minimize totalcosts?

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

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