BUSINESS CALCULUS

(the cost in part 2 was $6.011 or $6

The Calculus Canned Corn Companys production facility has a weekly overhead cost of $1000 with a unit cost of producing each can of $0.66 plus the cost of the can itself (from part 2).

-Find the total cost in dollars of producing cans of sauce.

-Use previously-determined information to find , the total cost in dollars to produce enough cans to satisfy demand when the price is dollars. (That is, replace with an expression in terms of price.)

-Profit is the defined as Revenue minus Cost. Find the total profit in dollars as a function of the unit price in dollars. It is a good idea to use parentheses in order to avoid a sign error!

-Use technology and calculus to determine the price at which profit is maximized and the profit that will be attained. There are multiple correct methods. Explain/show your approach and results in the space below.

-Imagine that you are emailing a proposed price to the CEO of CCCC. Write a paragraph (4-6 complete sentences) stating the recommendation and the reason why it is valid.

-Select either the first or second derivative test. Explain in your own words why and how that test works. (3-5 sentences.)

(PLEASE SHOW HOW TO GET ANSWER AND WORK)