The minimum value of 3 x+5 y such that: 3 x+5 y \leq 15 4 x+9 y \leq 8 13 x+2 y \leq 2 x \geq 0, y \geq 0 is _________

GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 36 of 65

Marks: +1, -0

The minimum value of

3 x+5 y

such that:

3 x+5 y ≤ 15

4 x+9 y ≤ 8

13 x+2 y ≤ 2

x ≥ 0, y ≥ 0

is _________

Your Answer:

Validate

Solution:

{Z}=3 {x}+5 {y}

Feasible region will be as shown in figure.
Since the minimum value of objective function is to be found and both the coefficientsin objective function are zero.
Z will be zero at point (0,0).

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