SOLUTION: I need to graph the system of constraints and find the value of x and y that maximize the objective function: C=7x-37
x and y >= 0
y<=(1/5)x + 2
5<=y+x
I am not sure what
Algebra.Com
Question 646617: I need to graph the system of constraints and find the value of x and y that maximize the objective function: C=7x-37
x and y >= 0
y<=(1/5)x + 2
5<=y+x
I am not sure what parts of the graph overlap. I only come up with the intersection point (2.5, 2.5) but no other coordinates. Thanks
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The fact that both variables are positive makes your feasibility area in the first quadrant.
Now, one at a time, change each of the other inequalities to an equation and graph the line. Once you have the boundary line graphed, you need to figure out which side of the line to shade. Since neither of the lines go through the origin, you can use the origin as your test point for each inequality. You replace x and y with zeros in both inequalities. If you make a true statement, shade in the side with the point (0,0) in it, otherwise shade in the other side. Where the shaded areas overlap in the first quadrant you have an area of feasibility.
The problem is that this problem either has no answer or you have the inequality sign pointed the wrong way on the 5 <= y + x inequality or you really want to minimize your objective rather than maximize it.
While we are at it, it really doesn't make much sense that there is no y variable in the objective function.
John
My calculator said it, I believe it, that settles it
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