# feasible region question, help please

• Aug 2nd 2006, 09:50 AM
kwtolley
The feasible region of a maximization problem shown is dertermined by
12x+5y<=180
5x+4y<=98
x^3 0, y=>0
which of the following objective functions has its maximum value at (15,0)? My answer is 9x+6y from a list of possible answers, is this right. If not please telll how to set this one up or graph. thanks so much for any help given.

a.z=25x+25y
b.z=9x+6y
c.z=20x+10y
d.z=45x+15y
• Aug 2nd 2006, 09:56 AM
ThePerfectHacker
First did you graph it?
• Aug 2nd 2006, 10:06 AM
kwtolley
yes
Yes I have the graph for home work. With all the points on the graph shown. From there I'm stuck. Thanks for looking at my problem, I just need someone to show me how to get the info from the graph. I know it has to be some what easy to do, as I have the graph in the text book.
• Aug 2nd 2006, 10:20 AM
ThePerfectHacker
Quote:

Originally Posted by kwtolley
Yes I have the graph for home work. With all the points on the graph shown. From there I'm stuck. Thanks for looking at my problem, I just need someone to show me how to get the info from the graph. I know it has to be some what easy to do, as I have the graph in the text book.

You have 3 points on that graph.

Substitute these values into each of the four options you have. Now find now that has (15,0) as a maximum point. You do that by looking at the other two points on the graph
(they are (0,24.5) and (10,12)) and confirming they give smaller values.