Home
Class 12
MATHS
The maximum vlaue of Z = 9x+13y subjec...

The maximum vlaue of ` Z = 9x+13y ` subject to constraints ` 2x+3yle 18, 2x+y le 10, x ge 0, y ge 0 ` is

A

130

B

81

C

79

D

28

Text Solution

Verified by Experts

The correct Answer is:
C
The feasible region is OABCO.

Now Z =9x+13y
At O(0,0) Z=0
At A(5,0) Z =45
At B(3,4) Z=27 +52 +79
At c(0,6) Z =78
`therefore ` Maximum vlaue of Z is 79.
Promotional Banner

Topper's Solved these Questions

  • Linear Programming

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2 (MISCELLANEOUS PROBLEMS )|30 Videos

  • LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|3 Videos

  • MATHEMATICAL LOGIC

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|22 Videos

Similar Questions

Explore conceptually related problems

The maximum value of Z = 3x + 5y subjected to the constraints x + y le 2, 4x + 3y le 12, x ge 0, y ge 0 is

The maximum value of Z = 4x + 2y subject to the constraints 2x+3y le 18,x+y ge 10, x , y ge 0 is

The point at which the minimum value of z = 8x + 12y subject to the constraints 2x +y ge 8, x + 2y ge 10 x ge 0, y ge 0 is obtained is

The minimum value of Z = 4x + 5y subjected to the constraints x + y ge 6, 5x + y ge 10 , x ge 0, y ge 0 is

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