The minimum value of z = 10 x + 25 y subject to 0 ≤ x ≤ 3 , 0 ≤ y ≤ 3 , x + y ≥ 5 is ________

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Question: Answered & Verified by Expert

The minimum value of

z = 10 x + 25 y

subject to

0 \leq x \leq 3, 0 \leq y \leq 3, x + y \geq 5

is ________

MathematicsArea Under CurvesMHT CETMHT CET 2019 (02 May Shift 1)

Options:

A $80$
B $95$
C $105$
D $30$

Solution:

2036 Upvotes Verified Answer

The correct answer is:

80

Given,
Minimize

z = 10 x + 25 y

Subject to conditions

0 \leq x \leq 3, 0 \leq y \leq 3, x + y \geq 5

z_{(3,2)} = 80 z_{(3,3)} = 105 z_{(2,3)} = 95

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