Question
The minimum value of 3𝑥 + 5𝑦 such that:
3𝑥 + 5𝑦 ≤ 15
4𝑥 + 9𝑦 ≤ 8
13𝑥 + 2𝑦 ≤ 2
𝑥 ≥ 0, 𝑦 ≥ 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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