Home
Class 12
MATHS
The maximum value of objective function ...

The maximum value of objective function ` Z = 3 x + y ` under given feasible region is

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos

  • SAMPLE PAPER 3

    EDUCART PUBLICATION|Exercise Section - C|7 Videos

Similar Questions

Explore conceptually related problems

The maximum value of objective function z=2x+3y in the given feasible region is

In a LPP, the maximum value of the objective function Z = ax +by is always 0, if origin is one of the corner point of the feasible region.

The minimum value of linear objective function z =2x + 2y under linear constraints 3x + 2y ge 12 , x + 3y ge 11 and x,y ge 0 is

The maximum value of the objective function Z=3x+2y for linear constraints x+y le 7, 2x+3y le 16, x ge0, y ge0 is

The maximum value of the objective function Z=3x+4y subject to the constraints x+y le 4, x ge 0 , y le o is

The corner points of the feasible region of a system of linear inequalities are (0, 0), (4,0), (3,9), (1, 5) and (0, 3). If the maximum value of objective function, Z = ax + by occurs at points (3, 9) and (1, 5), then the relation between a and b is:

Consider the following statements I. If the feasible region of an LPP is undbounded then maximum or minimum value of the obJective function Z = ax + by may or may not exist . II. Maximum value of the objective function Z = ax + by in an LPP always occurs at only one corner point of the feasible region. Ill. In an LPP, the minimum value of the objective function Z = ax + by is always 0, if origin is one of the corner point of the feasible region. IV. In an LPP, the maximum value of the objective function Z = ax + by is always finite. Which of the following statements are true?

The value of objective function is maximum under linear constraints

The minimum value of linear objective function z=2x+2y under linear constraints 3x+2yge12,x+3yge11 and x,y ge0 is

In a LPP, the maximum value of the objective function Z = ax +by is always finite.