document.write( "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?
\n" ); document.write( "I started off with:
\n" ); document.write( "R(X)= 12x + 15y
\n" ); document.write( " 2x + 3y is less than or equal to 16
\n" ); document.write( " 3x + y is less than or equal to 10
\n" ); document.write( "This is where I get stuck, can you please help?
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Algebra.Com's Answer #647819 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use the constraint equations to find the feasible region and the vertices.
\n" ); document.write( "\"graph%28300%2C300%2C-2%2C10%2C-2%2C10%2C2x%2B3y%3C=16%29\"
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\n" ); document.write( "\"graph%28300%2C300%2C-2%2C10%2C-2%2C10%2C3x%2By%3C=10%29\"
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\n" ); document.write( "\"graph%28300%2C300%2C-2%2C10%2C-2%2C10%2C%2816-2x%29%2F3%2C%2810-3x%29%29\"
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\n" ); document.write( "There are four vertices to test.
\n" ); document.write( "(\"0\",\"0\")
\n" ); document.write( "(\"0\",\"16%2F3\")
\n" ); document.write( "(\"2\",\"4\")
\n" ); document.write( "(\"10%2F3\",\"0\")
\n" ); document.write( "I'll do one, you do the rest the same way.
\n" ); document.write( "(\"0\",\"0\"): \"R=12%280%29%2B15%280%29=0\" Obviously not the solution.
\n" ); document.write( "Check the other three vertices the same way.
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