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Freds furniture factory has 1950 machine hours available eack week in the cutting department, 1490 hours in the assembly department , and 2160 in the finishing department. manufacturing a chair requires 0.2 hours of cutting, 0.3 hours of assembly, and 0.1 hours of finishing. a cabinet requires 0.5 hours of cutting, 0.4 hours of assembly, and 0.6 hours of finishing. a buffet requires 0.3 hours of cutting, 0.1 hours of assembly, and 0.4 hours of finishing. how many chairs, cabinets, and buffets should be produced in order to use all the available production capacity?

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Solution Summary

Review the production process.

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OK, suppose we manufacture
x chairs,
y cabinets and
z buffets.

Now, let's go over the production process and see how many ours we have to spend.

Cutting:
each chair requires 0.2 hours of it, so x chairs will require 0.2x hours of cutting;
each cabinet ...

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