Home
Class 12
MATHS
Solve the Following Linear Programming P...

Solve the Following Linear Programming Problem graphically : Maximise `Z = 5x + 3y`subject to `3x+5ylt=15 ,5x+2ylt=10 ,xgeq0,ygeq0`.

Text Solution

AI Generated Solution

To solve the linear programming problem graphically, we need to maximize the objective function \( Z = 5x + 3y \) subject to the constraints: 1. \( 3x + 5y \leq 15 \) 2. \( 5x + 2y \leq 10 \) 3. \( x \geq 0 \) 4. \( y \geq 0 \) ### Step 1: Convert the inequalities into equations ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Solve the Following Linear Programming Problem graphically: Maximise Z=3x+2y subject to x+2y =0

Solve the Following Linear Programming Problem graphically: Minimise Z=-3x+4y Subject to x+2y =0,y>=0

Solve the Following Linear Programming Problem graphically: Minimise Z=x+2y subject to 3x+y>=3,x+2y>=6.x,y>=0

Solve the following linear programming problem graphically: Maximize Z=50 x+15 y Subject to 5x+ylt=100 x+ylt=60 x , ygeq0

Solve the Following Linear Programming Problem graphically: Maximise Z=3x+4y subject to the constraints : x+y =0,y>=0

Maximise Z = 5x + 3y subject to 3x + 5y le 15, 5x + 2y le 10, x ge 0, y ge 0 .

Solve the following linear programming problem graphically: Maximize : z=5x+3y Subject to: x+3yle5 x+yle3 xge0 yge0

Solve the following liner programming problems by graphical method: Maximize Z=50 x+30 y Subject to 2x+ylt=18 3x+2ylt=34 x , ygeq0

Solve the following linear programming problem graphically: Minimize: z=x+3y Subject to: x+yle8 3x+5yge15 xge0 yge0