Q31 / 100 · BITSAT 2023 (Memory Based Paper 2) · Mathematics

Minimum value of $Z=3 x+5 y$ subject to constraints $x+y \geq 2, x+3 y \geq 3, x, y \geq 0$

A

6
Correct answer
B

7
C

8
D

9

Solution

$\mathrm{Z}$ is 7 minimum at $\left(\frac{3}{2}, \frac{1}{2}\right)$

Hence, the correct answer is option: 'B'.

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