Question:
The maximum value of $2x + y$ subject to $3x + 5y \leq 26$ and $5x + 3y \leq 30, x \geq 0, y \geq 0$ is
The maximum value of $2x + y$ subject to $3x + 5y \leq 26$ and $5x + 3y \leq 30, x \geq 0, y \geq 0$ is
Updated On: May 7, 2024
- 12
- 11.5
- 10
- 17.33
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The Correct Option is A
Solution and Explanation
We have, Maximize
$Z=2 x+y$
Subject to constraints
$3 x+5 y \leq 26$
$5 x+3 y \leq 30 $
$x \geq 0, y \geq 0$
The graph of inequality are
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Concepts Used:
Maxima and Minima
What are Maxima and Minima of a Function?
The extrema of a function are very well known as Maxima and minima. Maxima is the maximum and minima is the minimum value of a function within the given set of ranges.
There are two types of maxima and minima that exist in a function, such as:
- Local Maxima and Minima
- Absolute or Global Maxima and Minima