The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x – 0.2x². The monthly cost C of selling x wristwatches is C(x) = 32x + 1600. a) How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue? (b) Profit is given as P(x) = R(x) – C(x). What is the profit function? (c) How many wristwatches must the firm sell to maximize profit? What is the maximum profit?
The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x – 0.2x². The monthly cost C of selling x wristwatches is C(x) = 32x + 1600. a) How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue? (b) Profit is given as P(x) = R(x) – C(x). What is the profit function? (c) How many wristwatches must the firm sell to maximize profit? What is the maximum profit?
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SectionP.4: Factoring Polynomials
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Transcribed Image Text:The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x – 0.2x². The monthly cost C of selling x wristwatches is C(x) = 32x + 1600.
(a) How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue?
(b) Profit is given as P(x) = R(x) - (x). What is the profit function?
(c) How many wristwatches must the firm sell to maximize profit? What is the maximum profit?
(b) The profit function is P(x) = 0.2x2 + 43x - 1600
(Type an expression using x as the variable.)
(c) The firm must sell wristwatches to maximize profit.
(Round to the nearest integer as needed.)
The maximum profit is $.
(Round to two decimal places as needed.)
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