## swiftskier96 Group Title Help!?!?!?!??!?!?!? 42. A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y – 900. The production of y can exceed x by no more than 100 units. Moreover, production levels are limited by the formula x + 2y ≤ 1,400. What production levels yield maximum profit? one year ago one year ago

1. swiftskier96 Group Title

@jim_thompson5910

2. swiftskier96 Group Title

@whpalmer4

3. swiftskier96 Group Title

@JakeV8

4. whpalmer4 Group Title

I'd probably sketch all three relations on the same graph and put on my thinking cap...

5. whpalmer4 Group Title

Correction, sketch the two inequalities, then put on thinking cap.

6. whpalmer4 Group Title

Those two inequalities will result in a graph that looks something like this:|dw:1358377753150:dw| The area below the two lines is the area where x,y meet the constraints. Figure out where they intersect, find the value of P at that point, then compare it with a few spots on either side to make sure it appears to be the maximum.

7. whpalmer4 Group Title

"on either side" - spots on the two inequality boundaries on either side of the intersection.

8. swiftskier96 Group Title

I have to write down my answer. I can't use graphs. So if you could explain it to me using something I could write in, that would be awesome!

9. whpalmer4 Group Title

Just because you can't use the graph to write your answer doesn't mean you can't use the graph to understand (how to get) the answer :-)

10. swiftskier96 Group Title

@jim_thompson5910