Maximize C=6x-4y subject to x=0 y=0 y=y+x

Question

Maximize C=6x-4y subject to x>=0 y>=0 y<=1/3x+3 5>=y+x

tkhunny · Answer

Have you considered graphing the four constraints and examining their intersections?

wessa · Answer

no but Ill try that thanks!

tkhunny · Answer

Well, there you go.  Please post your results.

wessa · Answer

didnt work. :{

tkhunny · Answer

Yes it did.  Let's see your graphs.

mathmale · Answer

This type of problem involves 1) determining the "corner points" formed by the graphs of the given inequalities and then 2) substituting the coordinates of each such corner point into the objective function and 3) choosing the point at which the obj. fn. has its largest value.    Kindly don't respond, "I did but it didn't work."  That's dangerously close to meaningless.

Graph the inequalities in the Draw utility.  Label the coordinates of each point of intersection of these inequality graphs plus any intersections of them with the coordinate axes.  If done correctly, this will "work," I promise.

mathmale · Answer

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danjs · Answer

They want the maximum possible value for the function C(x,y) = 6x - 4y

They limit the set of values for x and y by using those following conditions. Those limit the pairs of (x,y) you can choose for the function C
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