Question

The minimum value of 3π‘₯ + 5𝑦 such that:

3π‘₯ + 5𝑦 ≀ 15

4π‘₯ + 9𝑦 ≀ 8

13π‘₯ + 2𝑦 ≀ 2

π‘₯ β‰₯ 0, 𝑦 β‰₯ 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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