Question 500746: Help with Linear Programming. I don't know how to solve this. If profit is represented by P=3x+4y, find the maximum profit under these constraints: y + x <= 3 ; y >= 0 ; y <= 2 Hellpppp.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Graph your three constraint inequalities on the same coordinate axes. You will have a trapezoid as a feasible area. An optimum, if it exists, must be at a vertex of your area of feasibility. So, look at your vertices (0,2), (1,2), and since nothing with a negative x is going to work, use (0,0) and (3,0) as your other two vertices. Insert the coordinate values of your vertices one at a time into your profit function. The one with the biggest answer is your optimum.
John
My calculator said it, I believe it, that settles it
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