# You manage an ice cream factory that makes two flavors: Vanilla and Mocha. Each quart of Vanilla requires 2 eggs and 3 cupsof 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 profitof \$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.

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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