A wood products firm uses available time at the end of each week to make goods for stock.Currently, two products on the list of items are produced for stock: a chopping board and a knifeholder. Both items require three operations: cutting, gluing, and finishing. The manager of thefirm has collected the following data on these products.TIME PER UNIT (MINUTES)Item Profit/Unit Cutting Gluing FinishingChopping board $2 1.4 5 12Knife holder $6 0.8 13 3The manager has also determined that, during each week, 56 minutes are available for cutting, 650minutes are available for gluing, and 360 minutes are available for finishing.a. Determine the optimal quantities of the decision variables if the goal is to maximize profit.b. Which resources are not completely used by your solution? How much of each resource isunused?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A wood products firm uses available time at the end of each week to make goods for stock.
Currently, two products on the list of items are produced for stock: a chopping board and a knife
holder. Both items require three operations: cutting, gluing, and finishing. The manager of the
firm has collected the following data on these products.
TIME PER UNIT (MINUTES)
Item Profit/Unit Cutting Gluing Finishing
Chopping board $2 1.4 5 12
Knife holder $6 0.8 13 3
The manager has also determined that, during each week, 56 minutes are available for cutting, 650
minutes are available for gluing, and 360 minutes are available for finishing.
a. Determine the optimal quantities of the decision variables if the goal is to maximize profit.
b. Which resources are not completely used by your solution? How much of each resource is
unused?

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
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Cengage,