Question

The minimum value of 3𝑥 + 5𝑦 such that:

3𝑥 + 5𝑦 ≤ 15

4𝑥 + 9𝑦 ≤ 8

13𝑥 + 2𝑦 ≤ 2

𝑥 ≥ 0, 𝑦 ≥ 0  is _______________

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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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