Home
Class 12
MATHS
Minimize z = 24x + 40y subject to constr...

Minimize `z = 24x + 40y` subject to constraints `6x + 8y ge 96, 7x + 12y ge 168, x ge 0 , y ge 0`

Text Solution

Verified by Experts

The correct Answer is:
Min Z =560 at x = 0, y = 14
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Part II LINEAR PROGRAMMING PROBLEMS (E. Activities)|3 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Part II ASSIGNMENT PROBLEMS AND SEQUENCING (I. Select and write the most appropriate answer from the given alternatives for each sub question.)|12 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Part II LINEAR PROGRAMMING PROBLEMS (C. Fill in each of the following blanks)|12 Videos
  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos
  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

2x + y ge 6, x + 2y ge 8, x ge 0, y ge 0

Minimize Z = 2x + 3y subject to constraints x + y ge 6 , 2x + y ge 7, x + 4y ge 8 , x ge 0 , y ge 0

Minimize Z = x + 4y subject to constraints x + 3y ge 3 , 2x + y ge 2, x ge 0 , y ge 0

Maximize z = 5x + 10y subject to constraints x + 2y le 10 , 3x + y le 12 , x ge 0 , y ge 0

Minimize Z = 3x + 2y subject to the constraints : x + y ge 8, 3x + 5y le 15, x ge 0, y ge 0 .

Minimize Z = -3x + 4y subject ot constraints : x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

Solve the LPP graphically: Minimize Z = 4x + 5y Subject to the constraints 5x + y ge 10, x + y ge 6, x + 4y ge 12, x , y ge 0

Maximize z =2x + 3y subject to constraints x + 4y le 8, 3x + 2y le 14 , x ge 0, y ge 0 .

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