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in Linear Programming by (65.5k points)

A company owned by Viswa Narayana concentrates on two grades of paper A and B, produced on a paper machine. Because of raw material restrictions, not more than 400 tonnes of grade A and 300 tonnes of grade B can be produced in a week. There are 160 production hours in a week. It requires 0,2 hour and 0.4 hour to produce one tone of the optimum product mix using the graphical method.

1 Answer

+1 vote
by (65.2k points)
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Best answer

max z = 20x + 50 y subject to 

0.2x + 0.4y ≤ 160 

x ≤ 400 

y ≤ 300 x, y ≥ 0 

Plot the lines on the graph and solution is z is maximum at (200, 300) & zmax = 19,000

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