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Industrial Engineering Miscellaneous

Industrial Engineering

  1. The minimum value of 3x + 5y
    such that:
    3x + 5y ≤ 15
    4x + 9y ≤ 8
    13x + 2y ≤ 2
    x ≥ 0, y ≥ 0 is ___________ .
    1. 0
    2. 1
    3. 2
    4. - 1
Correct Option: A

3x + 5y ≤ 15 →
x
+
y
≤ 1
b3

4x + 9y ≤ 8 →
x
+
y
≤ 1
2(8 / 9)

13x + 2y ≤ 2 →
x
+
y
≤ 1
(2 / 13)1


For minimum value, the value of x & y is in common area.
Therefore, The minimum value of 3x + 5y = 3(0) + 5(0) = 0



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