Find if possible the mmaximum value of the objective functioning 3x-4y subject to the constraints

-2x+y\leq 12,x-y\leq 2,x\geq 0 \and\ y\geq 0

 

  • Option 1)

    8

  • Option 2)

    0

  • Option 3)

    -8

  • Option 4)

    -36

 

Answers (1)

As we learnt in 

Decision Variables -

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

-

 

Z = 3x-4y

-2x+y\leq 12

x-y\leq 2

 

Z = 0 at (0, 0)                       

= -18 at (-6, 0)

= 8 at (0, -2)

= -42 +64 =22

But x\geqslant 0, y \geqslant 0

So \ x=0, y=0

it is '0'


Option 1)

8

Incorrect

Option 2)

0

correct

Option 3)

-8

Incorrect

Option 4)

-36

Incorrect

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