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Solve the Following Linear Programming P...

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

A

`14`

B

`15`

C

`16`

D

`17`

Text Solution

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The correct Answer is:
To solve the given linear programming problem graphically, we will follow these steps: ### Step 1: Identify the objective function and constraints We need to maximize the objective function: \[ Z = 3x + 4y \] subject to the constraints: 1. \( x + y \leq 4 \) 2. \( x \geq 0 \) 3. \( y \geq 0 \)
To solve the given linear programming problem graphically, we will follow these steps: ### Step 1: Identify the objective function and constraints We need to maximize the objective function: \[ Z = 3x + 4y \] subject to the constraints: 1. \( x + y \leq 4 \) 2. \( x \geq 0 \) ...
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