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MAT 183 Sp04 exam1

# MAT 183 Sp04 exam1 - MAT183 Exam#1 Name Feb 13 2004 Answer...

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MAT183 Name_______________________________ Exam #1 Feb. 13, 2004 Answer ALL questions! Be sure that your exam has 7 questions! Show all work. Little or no credit will be given for answers without justification! (1) (20 pts) Using the method of Gaussian elimination, solve the following system of equations. (You may, of course, check your answer using your calculator, but no credit will be given for a calculator-based answer.) x + 3 y + 2 z = 1 2 x + y z = 2 x + y + z = 2

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(2) (20 pts) You manage an ice cream factory that makes three flavors: vanilla, mocha and strawberry. Each batch of vanilla uses 2 eggs, 1 cup of milk, and 2 cups of cream. Each batch of mocha uses 1 egg, 1 cup of milk and 2 cups of cream. Each batch of strawberry uses 1 egg, 2 cups of milk, and 1 cup of cream. How many batches of each flavor should you make in order to use up all of your ingredients, if you have 350 eggs, 350 cups of milk, and 400 cups of cream? Set up an equation using matrix multiplication that can be used to solve this problem. Be sure to specify what your variables represent. Use your calculator to solve the equation!
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