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.

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.