SOLUTION: Kathy is doing a charity bake sale. She bakes two types of pies; sweet potato and milk pie. The pies sell for $12 and $15 respectively. Kathy has only 16 hours of time available an

Question 1033182: Kathy is doing a charity bake sale. She bakes two types of pies; sweet potato and milk pie. The pies sell for $12 and $15 respectively. Kathy has only 16 hours of time available and 10 cups of sugar. The baking time for sweet potato pies is 2 hrs. and milk pie is 3 hrs. Each sweet potato pies uses 3 cups of sugar and the milk pie uses 1 cup of sugar. What combination should she make to maximize profits?
I started off with:
R(X)= 12x + 15y
2x + 3y is less than or equal to 16
3x + y is less than or equal to 10
This is where I get stuck, can you please help?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use the constraint equations to find the feasible region and the vertices.

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..
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There are four vertices to test.
(,)
(,)
(,)
(,)
I'll do one, you do the rest the same way.
(,): Obviously not the solution.
Check the other three vertices the same way.
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