Question

For the feasible region shown below, find the maximum value of the function p = - 3x + 4y

Answer 1

its 32

Explanation:

i just wanted points

Answer 2

Firstly , we will identify corner points

we can see in the graph corner points

now, we can find value of P at those points

At (0,0):

`P=-3x+4y`

we can plug x=0 , y=0

`P=-3*0+4*0`

`P=0`

At (0,8):

`P=-3x+4y`

we can plug x=0 , y=8

`P=-3*0+4*8`

`P=32`

At (6,5):

`P=-3x+4y`

we can plug x=6 , y=5

`P=-3*6+4*5`

`P=2`

At (8,0):

`P=-3x+4y`

we can plug x=8 , y=0

`P=-3*8+4*0`

`P=-24`

Maximum value:

So, the largest value among them would be

`P=32`..........Answer