Question

For the feasibility region shown below, find the maximum value of the function: P=-3x+4y. Attached pictured

Answer 1

please help :(

Answer 2

draw the line -3x+4y=0 and draw a line perpendicular by -3+4y
and find the nearest vertices
that vertices is answer

Answer 3

alternatively ,you can examine all the vertices in p=-3x+4y to find max

Answer 4

you have 4 vertices
(0,0) p=-3x+4y=0+0=0
(8,0) p=-3x+4y=-24
(6,5) p=-3x+4y=-3(6)+4(5)=-18+20=2
(0,8) p=-3x+4y=-3(0)+4(8)=32

Answer 5

feasibility region is a polygon ,
whenever you want to max or min the function
you can put vertices coordinate in function
and check their values
then find max or min

Answer 6

thank you! :)