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  • Stuck here, help me understand: - Linear Programming - BITSAT

The objective function of a linear programming model is given as,

maximize, z=x_{1}+2x_{2}

Subject to constraint 1:x_{1}+2x_{2}\leq 5

Constraint 2:x_{1}+3x_{2}\leq 9

What is the objective function value if \left ( x_{1},x_{2}\right )=\left ( 1,1 \right ) is used as a possible solution?

  • Option 1)

    3

  • Option 2)

    5

  • Option 3)

    7

  • Option 4)

    None of these

 

Answers (1)

best_answer

As we learnt in 

Corner Point Method -

This method of solving a LPP graphically is based on the principle of extreme points theorem.

-

 

 z=x_{1}+2x_{2}

x_{1}+2x_{2}\leq 5

x_{1}+3x_{2}\leq 9

x_{2}=4

x_{1}=-3

at x_{1}=1,\ x_{2}=1

 \therefore z=1+2 \times 1= 1+2 =3

 


Option 1)

3

correct

Option 2)

5

Incorrect

Option 3)

7

Incorrect

Option 4)

None of these

Incorrect

Posted by

Aadil

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