$C(x,y)=2200+27x^3-72xy+8y^2$

Where $x$ is the number of kilograms of sugar added to each batch and $y$ is the number of grams of

flavoring per batch. Please help your client identify the quantities of sugar and flavoring that

minimize the cost of producing a batch of the soda pop. What is the minimum cost?

After identifying the relationship between inputs and costs for your client, what would you

advise as the next steps for assessing the business? Please advise your client.