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in Linear Programming by (65.5k points)

Maximize z = 60x + 15y 

subject to 

x+y ≤ 50 

3x + ≤ 90 

x, y ≥ 0

1 Answer

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by (65.2k points)
selected by
 
Best answer

Consider line x + y = 50 

Put x = 0, y = 50, (0,50) 

Put y = 0, x = 50 (50,0) 

Consider the line 3x + y =- 90 

Put x = 0, y = 90 (0,90) 

Put y = 0, x = 30 (30,0) 

Plot the above lines on the graph we get OABC is the solution region

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