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Business, 25.10.2019 20:43 mika08

Vollmer manufacturing makes three components for sale to refrigeration companies. the components are processed on two machines: a shaper and a grinder. the times (in minutes) required on each machine are as follows:

machine
component shaper grinder
1 6 4
2 4 5
3 4 2

the shaper is available for 120 hours, and the grinder for 110 hours. no more than 200 units of component 3 can be sold, but up to 1,000 units of each of the other components can be sold. in fact, the company already has orders for 600 units of component 1 that must be satisfied. the profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. write the lp model to maximize profit and solve it to find the optimal number of components and total profit.

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