Question

20. Solve the following LPP graphically
Maximize Z 40x, +10
subject to
12x, +6,5 3000
4x+10%, 5 2000
2x+3x, 5 900
X, X, 20​

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By graphical method solve the following linear programming problem for maximization.

Objective function Z = 1000 x + 600 y

Constraints x+y≤200

4x−y≤0

x≥20,x≥0,y≥0.

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Solution To Question ID 603050

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Answer

Function to maximize: Z=1000x+600y

Constraints: x+y≤200

4x−y≤0

x≥20

x≥0,y≥0

Corner Points Values of Z=1000x+600y at corner points

(20,80) 68000

(20,180) 110000

(40, 160) 136000 ← Maximum

Hence, the maximum value of Z=1000x+600y is 136000.

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