Some of the following exercises are similar or identical to exercises and examples in Chapter 4. Use matrix inverses to find the solutions. We suggest that you invert some of the matrices by hand and others using technology.
Resource Allocation You manage an ice cream factory that makes three flavors: Creamy Vanilla, Continental Mocha, and Succulent Strawberry. Into each batch of Creamy Vanilla go two eggs, one cup of milk, and two cups of cream. Into each batch of Continental Mocha go one egg, one cup of milk, and two cups of cream. Into each batch of Succulent Strawberry go one egg, two cups of milk, and one cup of cream. Your stocks of eggs, milk, and cream vary from day to day. How many batches of each flavor should you make in order to use up all of your ingredients if you have the following amounts in stock?
a. 350 eggs, 350 cups of milk, and 400 cups of cream
b. 400 eggs, 500 cups of milk, and 400 cups of cream
c. A eggs, B cups of milk, and C cups of cream
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