Question

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

• A. 0
• B. 50
• C. 100
• D. does not exist

Answer 1

Answer: (D)

Given, $Z=4 x+y$

and $x+y \leq 50, x+y \geq 100 $
$x, y \geq 0$
Hence, it is clear from the graph that it is not bounded, region. so maximum value cannot be determined.