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Consider the linear programming problem ...

Consider the linear programming problem Maximise Z = 4x + y.
Subject to constraints ` x+y le 50, x +y ge 100` and ` x ,y ge 0 ` Then, maximum vlaue of Z is

A

0

B

50

C

100

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
D
Given, maximise , Z= 4x+y and constraints are ` x+y le 50, x +y ge 100, x y ge 0 `

It is clear from the graph that, there is no feasible reg.ion, so maximum value cannot be determined.
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