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November 23, 2014

Homework Help: linear programming

Posted by nmh on Friday, July 8, 2011 at 2:52pm.

A manufacturer produces two items, bookcases and library tables. Each item requires processing in each of two departments. Department I has 40 hours available and department II has 36 hours available each week for production. To manufacture a bookcase requires 2 hours in department I and 4 hours in department II, while a library table requires 3 hours in department I and 2 hours in department II. Profits on the items are $6.00 for a bookcase and $7.00 for a library table.
Identify all constraints.
Identify all applicable corner points of the feasibility region.
If all units produced can be sold, how many of each should be made in order to maximize profits?

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