Consider the following linear programming problem:

Maximize 12x+10y

Subject to 4x+3y\leq 480

2x+3y\leq 360

All variables \geq 0

Which of the following (x,y) is feasible?

  • Option 1)

    \left ( 10,120 \right )

  • Option 2)

    \left ( 120,10 \right )

  • Option 3)

    \left ( 30,100 \right )

  • Option 4)

    \left ( 60,90 \right )

 

Answers (1)
A Aadil

As we learnt in 

Corner Point Method -

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

-

 

 

Z = 12x +10y

4x+3y\leq 480

2x+3y\leq 360

From fig (30, 100) lies between shaded portion.


Option 1)

\left ( 10,120 \right )

incorrect

Option 2)

\left ( 120,10 \right )

incorrect

Option 3)

\left ( 30,100 \right )

correct

Option 4)

\left ( 60,90 \right )

incorrect

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