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Profit maximization

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Seall Manufacturing Company makes color television sets. It produces a bargain set that sells for $100 profit
and a deluxe set that sells for $150 profit. On the assembly line the bargain set requires 3 hours, and the deluxe set takes 5 hours. The cabinet shop spends 1 hour on the cabinet for the bargain set and 3 hours on the cabinet for the deluxe set. Both sets require 2 hours of time for testing and packing. On a particular production run the Seall Company has available 3900 work-hours on the assembly line, 2100
work-hours in the cabinet shop, and 2200 work-hours in the testing and packing department. How many sets of each type should it produce to make maximum profit

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Solution Summary

This provides an example of maximizing profit.

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Suppose x bargain sets and y deluxe sets should be produced. We want to maximize the profit z = 100x + 150y
with respect to the following restrictions.
(1) 3x + 5y ...

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