Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, find the maximum value of C.
+118609 Thanks Alan,
I could not resist graphing this too :)
My graph is a bit interactive.
https://www.desmos.com/calculator/x4l1oomtnm
The line C=3x-2y which I have rearranged to 2y=3x-C
must overlap the shaded purple region by at least one point.
Use the C slider to find the biggest value of C for which this is true.
The maximum C will always occur at one of the vertices of the shaded quadrilateral.
What do you think the max C is ?? 
