Step-by-step explanation and the answer:
The coordinates to the given constraints are (0,5), (7.5,0), (3,3), (0,7.5), (5,0).
(x,y)= [tex]P=5x+8y[/tex]
(0,5)=[tex]P=5(0)+8(5)=40[/tex]
(7.5,0)=[tex]P=5(7.5)+8(0)=37.5[/tex]
(3,3)=[tex]P=5(3)+8(3)=39[/tex]
(0,7.5)= [tex]P=5(0)+8(7.5)=60[/tex]
(5,0)= [tex]P=5(0)+8(5)=25[/tex]
Min Value would be 25 and Max. Value would be 60.
Let me know if this is correct.
