Please show step by step thank you.

Suppose the demand price for selling out a production run of x DVDs is given by p(x) =-0.0005x2 +60 dollars per DVD. Further suppose the weekly cost of producing these DVDs is given by C(x) = -0.001x2 + 18x + 4000 dollars to produce that many DVDs. (i) Write the Revenue function R(x). (ii) Use (i) to write the profit function P(x). (iii) Draw a signs diagram for P'(x), the marginal profit function. (iv) Use (iii) to find the production level x for which the profit is a maximum. (v) So what is the maximum profit the DVD manufacturer can hope to make? Show your work! (vi) Answer (v) in a complete English sentence