Question

Evaluate P = 50x + 80y at each vertex of the feasible region. (0, 0) P = (0, 15) P = (6, 12) P =

Answer 1

(0, 0) P = ⇒ 0

(0, 15) P = ⇒ 1200

(6, 12) P = ⇒ 1260

Answer 2

`P(0.0)=0`

`P(0,15)=1,200`

`P(6,12)=1,260`

Explanation:

we have

`P=50x+80y`

To evaluate the value of P, substitute the value of x and the value of y in the equation

case 1)

For
`vertex(0,0)`

`x=0,y=0`

substitute

`P(0.0)=50(0)+80(0)=0`

case 2)

For
`vertex(0,15)`

`x=0,y=15`

substitute

`P(0,15)=50(0)+80(15)=1,200`

case 3)

For
`vertex(6,12)`

`x=0,y=12`

substitute

`P(6,12)=50(6)+80(12)=1,260`