Question

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

Answer 1

Answer: 28

Step-by-step explanation:

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