Question
The minimum value of 3π₯ + 5π¦ such that:
3π₯ + 5π¦ β€ 15
4π₯ + 9π¦ β€ 8
13π₯ + 2π¦ β€ 2
π₯ β₯ 0, π¦ β₯ 0 is _______________
Answer :
0
Z = 3x + 5y
Feasible region will be as shown in figure. Since the minimum value of objective function is to be found and both the coefficients in objective function are zero. Z will be zero at point (0,0).
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