Home
Class 12
MATHS
Minimize z = 6x + 4y , subject t...

Minimize ` z = 6x + 4y `, subject to
` 3x + 2y ge12, x + y ge5, 0 le x le 4, 0 le y le 4`.

Text Solution

AI Generated Solution

To solve the linear programming problem of minimizing \( z = 6x + 4y \) subject to the given constraints, we will follow these steps: ### Step 1: Write down the constraints The constraints are: 1. \( 3x + 2y \geq 12 \) 2. \( x + y \geq 5 \) 3. \( 0 \leq x \leq 4 \) 4. \( 0 \leq y \leq 4 \) ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE|8 Videos
  • LINE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple choice question|9 Videos
  • MATHEMATICAL LOGIC

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS 2 MARKS EACH|10 Videos

Similar Questions

Explore conceptually related problems

Minimise Z = -3x + 4y subject to x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

Minimize z = 6 x + 2y , subject to 5 x + 9y le 90, x + y ge 4, y le 8, x ge 0, y ge 0 .

x + y le 5, 4x + y ge 4, x + 5y ge 5, x le 4, y le 3 .

Maximize z = 4x + 6 y ,subject to 3x + 2y le 12, x + y ge 4, x ge 0 , y ge 0

Maximize z = 10 x + 25 y , subject to x le 3, y le 3, x + y le 5, x ge 0 , y ge 0 .

Maximize z = 6 x + 4y , subject to 2x + 3y le 30, 3x + 2y le 24, x + y ge 3, x ge 0 , y ge0.

Minimize z = x + 3y Subject to x + y le 5 2x + y ge 4 x + 5y ge 5 x ge 3 y le 3

Maximize z = 4 x + 5y , subject to 2x + y ge7, 2x + 3 y le 15, x le 3, x ge 0 , y ge 0

Minimize Z= 3x + 2y subject to x + y le 8, x, y ge 0 .