A Linear Programming Problem is as follows: Maximise / Minimise objective function Z=2 x-y +5 Subject to the constraints 3 x+4 y \leq 60 x+3 y \leq 30 x \geq 0, y \geq 0 If the corner points of the feasible region are A(0,10), B(12,6), C(20,0) and O(0,0), then which of the following is true?

Correct Answer is : Minimum value of Z is - 5

Difference of maximum and minimum values of {\Z} is 35

At two corner points, value of {\Z} are equal

CBSE Class 12 Math 2022 Term I Solved Paper - Question 38

Question : 38 of 50

Marks: +1, -0

A Linear Programming Problem is as follows:
Maximise / Minimise objective function

Z=2 x-y

+5

Subject to the constraints

3 x+4 y ≤ 60

x+3 y ≤ 30

x ≥ 0, y ≥ 0

If the corner points of the feasible region are

A(0,10), B(12,6), C(20,0)

and

O(0,0)

, then which of the following is true?

Solution:

S the minimum value of Z is -5.

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