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in Linear Programming by (58.3k points)

A merchant plans to sell two type of computer and desktop model and a portable model that will cost Rs 25,000/ and Rs 40,000. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computer should stock to get maximum profit if he does not want to invest more than 70 lakhs and his profit on the desktop models is Rs 4500/ and on the portable model is Rs 5000/

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No. of desktop computer be x and no. of portable be y Maximize 

∴ Z = 4500 x + 5000 y 

subject to x + y ≤ 250 

25000 x + 4000y ≤ 70,00,000 

or 5x + 8y ≤ 1400, x ≥ 0, y 

The corner points are.

0 (0,0), B (250,0), C (200,50), D (0,175) 

At 0, Z = 0 

At C Z = 1150000 

B Z= 1125000 

D Z = 875000 

Maximum of C (200, 50)

∴ No. of desktop model = 200 

No. of portable = 50

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