# A Linear programming problem

Consider the following linear programming problem

MIN Z = 10x1 + 20x2

Subject to: x1 + x2 12

2x1 + 5x2 40

x2 13

x1 , x2 0

At the optimal solution, what is the value of surplus and slack associated with constraint 1 and constraint 3 respectively ?

https://brainmass.com/business/operations-research/a-linear-programming-problem-69055

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Note : Ineualities in minimization problems ...

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