SOLUTION: A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce and 1 3/4 cups of cheese. Its large ziti dish uses 2 cups of sauce and 3 cups of cheese.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce and 1 3/4 cups of cheese. Its large ziti dish uses 2 cups of sauce and 3 cups of cheese.      Log On


   



Question 935188: A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce and 1 3/4 cups of cheese. Its large ziti dish uses 2 cups of sauce and 3 cups of cheese. The business has 100 cups of sauce and 400 cups of cheese on hand. It makes $6 profit on their small dishes and $5 profit on their large dishes. It wants to maximize the profit from selling the two sizes of ziti. Let x represent the number of small dishes and y represent the number of large dishes.
What are the constraints for the problem?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The number of cups of cheese used is:
+1.75x+%2B+3y+
The number of cups of sauce used is:
+x+%2B+2y+
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(1) +1.75x+%2B+3y+%3C=+400+
(2) +x+%2B+2y+%3C=+100+
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The profit is +6x+%2B+5y+