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he machinery limits the number of bags produced to at most 1000 per week. If the company has a maximum of 900 hours per week available for cutting and dying and a maximum of 1800 hours available per week for sewing, determine the number of each type of bag that should be produced weekly to maximise profit. (Assume that all bags produced are also sold).

he machinery limits the number of bags produced to at most 1000 per week. If the company has a maximum of 900 hours per week available for cutting and dying and a maximum of 1800 hours available per week for sewing, determine the number of each type of bag that should be produced weekly to maximise profit. (Assume that all bags produced are also sold).

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A manufacturer produces two sizes of leather handbags. It takes longer to cut
and dye the leather for the smaller bag, but it takes more time sewing the larger
bag. The production constraints and profit for each type of bag is given in the
table below.
Cutting and
dying
Sewing Profit
Large bag 0.6 hr 2 hr $30
Small bag 1 hr 1.5 hr $25
The machinery limits the number of bags produced to at most 1000 per week. If
the company has a maximum of 900 hours per week available for cutting and
dying and a maximum of 1800 hours available per week for sewing, determine
the number of each type of bag that should be produced weekly to maximise
profit. (Assume that all bags produced are also sold).

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