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

Given, Minimize z = 10 x + 25 y Subject to conditions 0 ≤ x ≤ 3 , 0 ≤ y ≤ 3 , x + y ≥ 5 z ( 3,2 ) = 80 z ( 3,3 ) = 105 z 2,3 = 95

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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesHard2 minPYQ_2019

MathematicsHardsingle choice

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 ________

Options:

Answer:

Solution:

Given,
Minimize $z = 10 x + 25 y$
Subject to conditions
$0 \leq x \leq 3, 0 \leq y \leq 3, x + y \geq 5$

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

Stream:MHT_CETSubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by Miscellaneous Curves

⏱ 2mℹ️ Source: PYQ_2019

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