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):
[tex] P=-3x+4y [/tex]
we can plug x=0 , y=0
[tex] P=-3*0+4*0 [/tex]
[tex] P=0 [/tex]
At (0,8):
[tex] P=-3x+4y [/tex]
we can plug x=0 , y=8
[tex] P=-3*0+4*8 [/tex]
[tex] P=32 [/tex]
At (6,5):
[tex] P=-3x+4y [/tex]
we can plug x=6 , y=5
[tex] P=-3*6+4*5 [/tex]
[tex] P=2 [/tex]
At (8,0):
[tex] P=-3x+4y [/tex]
we can plug x=8 , y=0
[tex] P=-3*8+4*0 [/tex]
[tex] P=-24 [/tex]
Maximum value:
So, the largest value among them would be
[tex] P=32 [/tex]..........Answer
