anonymous
  • anonymous
For the feasibility region shown below, find the maximum value of the function P=3x+2y.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
RadEn
  • RadEn
there 2 lines in diagram, can you determine the equations of them first ?
anonymous
  • anonymous
@RadEn how exactly would i find the equation? isnt the equation p=3x+2y?

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anonymous
  • anonymous
|dw:1378528256795:dw|
anonymous
  • anonymous
no,you should find the equation of a and b...
anonymous
  • anonymous
oh thanks @PFEH.1999 i got it! :)
anonymous
  • anonymous
you're welcome:)
RadEn
  • RadEn
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

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