For the feasibility region shown below, find the maximum value of the function P=3x+2y.

Question

anonymous · Answer

attachment

raden · Answer

there 2 lines in diagram, can you determine the equations of them first ?

anonymous · Answer

@RadEn how exactly would i find the equation? isnt the equation p=3x+2y?

anonymous · Answer

|dw:1378528256795:dw|

anonymous · Answer

no,you should find the equation of a and b...

anonymous · Answer

oh thanks @PFEH.1999 i got it! :)

anonymous · Answer

you're welcome:)

raden · Answer

oh, after i re-look  the diagram once again, the point of vertex is given. so we neednt the equation, directly take the that points then subtitute all points into P = 3x + 2y. then look who is the greater its as maximum value and who is the smalest, its as the minimum value. look at the diagram the vertex points are :
|dw:1378535700112:dw|
A = (8,0), B = (6,5), and C=(0,8)
now, subtitute the points of A, B, and C into P = 3x + 2y, we get
P_A = P(8,0) = 3(8) + 2(0) = 24 + 0 = 24
P_B = P(6,5) = 3(6) + 2(5) = 18 + 10 = 28 and
P_C = P(0,8) = 3(0) + 2(8) = 0 + 16 = 16

now, we knowed that the maximum value is 28 and the minimum value is 16. i hope this make sense for you @ali1029