Question

You manage an ice cream factory that makes two flavors: Vanilla and Mocha. Each quart of Vanilla requires 2 eggs and 3 cups

of cream. Each quart of Mocha requires 1 egg and 4 cups of cream. You have in stock 500 eggs and 1200 cups of cream. You make a profit

of $3 on each quart of Vanilla and $5 on each quart of Mocha.

a) How many quarts of each flavor should you make in order to earn the largest profit?

b) Are there any leftover resources? Be specific.

Step 1

**(a)**

Let,

*x *= number of quarts of vanilla

*y* = number of quarts of Mocha

Now, as each quart of vanilla requires 2 eggs and 3cups of cream and each quart of Mocha requires 1 egg and 4 cups of cream, also it is given that there are 500 eggs 1200 cups of cream in stock, therefore we will have the following inequalities:

Step 2

Now, also there is profit of $3 on each quart of vanilla and $5 on each quart of Mocha, therefore, the maximization equation will be:

Step 3

So, here is the obtained Linear...

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