anonymous
  • anonymous
Please help! For the feasibility region shown below, find the maximum value of the function: P= -3x+4y.
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
please help, i dont understand what im supposed to do at all :(
anonymous
  • anonymous
i think it is 0,8

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anonymous
  • anonymous
how did you get that? @ask1709
kropot72
  • kropot72
The point that gives the maximum value of the function must lie within the feasibility region which is cross-hatched in the diagram. P = -3x + 4y is a family of straight lines. The function can be rearranged into the form y = mx + b giving: y = 3/4 x + P/4 where the slope is 3/4 and the y-intercept is P/4. On the diagram the maximum value of P/4 is at the point (0, 8). Plugging these values of x and y into the original function gives the maximum value: P = -3 * 0 + 4 * 8 = 32
anonymous
  • anonymous
thank you @kropot72!
anonymous
  • anonymous
@kropot72 can you please help me with this problem? i tried doing what you explained above but the negatives are throwing me off :(
kropot72
  • kropot72
In this second case the function can be rearranged to: y = -3/2 x + P/2 and the maximum value of the y-intercept P/2 is when the line touches the point (6, 5). Plugging these values of x and y into the original function gives the maximum value: P = 3 * 6 +2 * 5 = 28
anonymous
  • anonymous
thank you so much @kropot72 !!! i would give extra medals if i could!
kropot72
  • kropot72
You're welcome :)

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