Question

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

Answer 1

Answer:

$P(0.0)=0$

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

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

Step-by-step 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

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

Answer 2

(0, 0) P =  ⇒ 0

(0, 15) P =  ⇒ 1200

(6, 12) P =  ⇒ 1260