You manage an ice cream factory that makes two flavors: creamy vanilla and continental mocha. into each quart of creamy vanilla go 2 eggs and 3 cups of cream. into each quart of continental mocha go 1 egg and 3 cups of cream. you have in stock 350 eggs and 600 cups of cream. you make a profit of $3 on each quart of creamy vanilla and $2 on each quart of continental mocha. how many quarts of each flavor should you make to earn the largest profit? hint (see example 2.] (if an answer does not exist, enter dne.) creamy vanilla quarts continental mocha quarts

You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.

Step-by-step explanation:

This problem can be solved by a system of equations.

The largest profit is going to earned when all the eggs and cups of cream in stock are used.

I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.

The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 350 eggs in stock, so:

Each quart of Creamy Vanilla uses 3 cups of cream, as does each quart of Continental Mocha. There are 600 cups of cream in stock.

So:

Simplifying by 3.

We have the following system

I am going to multiply 2) by (-1) and then add with 1), so i can eliminate y

You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.

the correct option is b

step-by-step explanation: