Home
Class 12
MATHS
The maximum value of Z = 3x + 4y subject...

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

A

0

B

12

C

16

D

18

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12 (C ) (B.Fill in the Blanks)|5 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12 (C ) (True/False Questions)|5 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12 C (Long Answer Type Questions )|23 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise CHAPTER TEST (3)|12 Videos

Similar Questions

Explore conceptually related problems

Maximum value of Z = 3x + 4y subject to the constraints x + y le 4, x ge 0, y ge 0 is 16.

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 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 P = 3x + 4y subjected to the constraints x + y le 40, x + 2y le 60, x ge 0 and y ge 0 is

The minimum value of Z= 4x+5y subject to the constraints x le 30, yle 40 and x ge 0,y ge 0 is

The point at which the maximum value of Z = 4x + 6y subject to the constraints 3x + 2y le 12, x + y ge 4, x ge 0, y ge 0 is obtained at the point

Find maximum value of z=2x+3y subject to the constraints x+y le 4 , x ge 0 , y ge 0 .