A factory manufactures three products namely X, Y and Z. Each of the product require processing on three machines, Turning, Milling and Grinding. Product X requires 10 hours of turning, 5 hours of milling and 1 hour of grinding. Product Y requires 5 hours of turning, 10

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A factory manufactures three products namely X, Y and Z.
Each of the product require processing on three
machines, Turning, Milling and Grinding. Product X
requires 10 hours of turning, 5 hours of milling and 1 hour
of grinding. Product Y requires 5 hours of turning, 10
hours of milling and 1 hour of grinding, and Product Z
requires 2 hours of turning, 4 hours of milling and 2 hours
of grinding. In the coming planning period, 5000 hours of
turning, 2500 hours of milling and 1250 hours of grinding
are available. The profit contribution of X, Y and Z are 10
$, 15 $ and 20 $ per unit respectively. By using simplex
method, find the optimal product mix to maximize the
profit
=X
=Y
=Z
=Z(Max.)
Transcribed Image Text:A factory manufactures three products namely X, Y and Z. Each of the product require processing on three machines, Turning, Milling and Grinding. Product X requires 10 hours of turning, 5 hours of milling and 1 hour of grinding. Product Y requires 5 hours of turning, 10 hours of milling and 1 hour of grinding, and Product Z requires 2 hours of turning, 4 hours of milling and 2 hours of grinding. In the coming planning period, 5000 hours of turning, 2500 hours of milling and 1250 hours of grinding are available. The profit contribution of X, Y and Z are 10 $, 15 $ and 20 $ per unit respectively. By using simplex method, find the optimal product mix to maximize the profit =X =Y =Z =Z(Max.)
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