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

Solve the Following Linear Programming Problem graphically : Minimise `Z = x + 2y`subject to `3x+ygeq3,x+2ygeq6.x ,ygeq0`.

Text Solution

AI Generated Solution

To solve the linear programming problem graphically, we will follow these steps: ### Step 1: Define the objective function and constraints We need to minimize the objective function: \[ Z = x + 2y \] subject to the constraints: 1. \( 3x + y \geq 3 \) 2. \( x + 2y \geq 6 \) ...
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Solve the Following Linear Programming Problem graphically : Minimise Z" "=" "3x" "+" "5y such that x+3ygeq3,""""x+ygeq2,""""x ,""ygeq0x+3y .

Solve the following linear programming problem graphically: Minimize : z=3x+5y Subject to: x+yge2 x+3yge3 xge0 yge0

Solve the following linear programming problem graphically: minimize : z=x+2y Subject to: 2x+yge3 x+2yge6 xge0 yge0 Show that z is minimum at two points.

Solve the Following Linear Programming Problem graphically : Minimise Z" "=" "" "3x" "+" "4y Subject to x+2ylt=8,""""3x+2ylt=12 ,""""xgeq0,""""ygeq0 .

Solve the Following Linear Programming Problem graphically : Minimise Z" "=" "" "3x" "+" "4y Subject to x+2ylt=8,""""3x+2ylt=12 ,""""xgeq0,""""ygeq0 .

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

Solve the Following Linear Programming Problem graphically : Maximise Z = 3x + 4y subject to the constraints : x+ylt=4,xgeq0,ygeq0 .

Solve the following linear programming problem graphically: Maximize : z=30x+25y Subject to: x+yle6 3x+2yle15 xge0 yge0

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