Q. The minimum value of linear objective function $c = 2x + 2y$ under linear constraints $3x + 2y \geq 12 , x+ 3y \geq 11$ and $x, y \geq 0,$ is

Linear Programming Report Error

A

10

14%

B

12

57%

C

6

29%

D

5

0%

Solution:

Min $z = 2(2) + 2(3) \Rightarrrow c = 10.$

Questions from Linear Programming

1. Minimize $ z = x + 3y $ subject to the constraints
$ x+y \ge10 $
$ 2x-y \ge0 $
$ x,y \ge0 $
In the above Linear Programming Problem, the objective function is

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3. Consider the Linear Programming Problem Maximum
$ Z = 4x + y $
Subject to $ x + y \le 50 $
$ x + y \ge 100 $
$ x,y \ge 0 $
The maximum value of $ Z $ is

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