The price p (in dollars) and the quantity x sold of a certain product satisfy the demand

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The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = −20p + 500.

(a) Find a model that expresses the revenue R as a function of p.

(b) What is the domain of R ? Assume R is nonnegative.

(c) What price p maximizes the revenue?

(d) What is the maximum revenue?

(e) How many units are sold at this price?

(f) Graph R.

(g) What price should the company charge to earn at least $3000 in revenue?

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