Consider the following linear programming problem

Maximize 5x+6y

Subject to 4x+2y\leq420, 1x+2y\leq120

all variables \geq 0

which of the following points (x,y) is in feasible region?

  • Option 1)

    \left ( 30,60 \right )

  • Option 2)

    \left (105, 0 \right )

  • Option 3)

    \left ( 0,210 \right )

  • Option 4)

    None of the above

 

Answers (1)

As we learnt in 

Decision Variables -

In Z = ax+by, x and y are decision variables. 

-

 

Z = 5x + 6y

 4x+2y\leq420,

x+2y \leq 120

Z = 360 (0, 60)

Z = 0 (0,0)

Z = 525 (105,0)

Z = 560 (100,10)

Maximise at (100, 10)


Option 1)

\left ( 30,60 \right )

incorrect

Option 2)

\left (105, 0 \right )

incorrect

Option 3)

\left ( 0,210 \right )

incorrect

Option 4)

None of the above

correct

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