Let D(x) be the demand (in units) for a new product when the price is x dollars. (a) Write sentences interpreting the following. (i) D(4.25) = 200 When the price is $ 4.25 the demand is 200 units. (ii) D'(4.25) = -10 When the price is $ 4.25 the demand is decreasing by 10 per dollar of product price. (b) Write a formula for the revenue R(x) generated from the sale of the product when the price is x dollars. Assume demand is equal to the number sold. O R(x) = x + D(x) O R(X) = x · D(x) O R(X) = D(x) O R(x) = x - D(x) O R(x) = x + x• D(x) (c) Calculate R'(x) when x = 4.25. R'(4.25) = $ X per dollar Enter an exact number. Interpret R'(x) when x = 4.25. When the price is $ the revenue generated from the sale of the product is -Select-- by $ per dollar of price.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Let D(x) be the demand (in units) for a new product when the price is x dollars.
(a) Write sentences interpreting the following.
(i)
D(4.25) = 200
When the price is $ 4.25
the demand is 200
units.
(ii)
D'(4.25) = -10
When the price is $ 4.25
the demand is decreasing
by 10
per dollar of product price.
(b) Write a formula for the revenue R(x) generated from the sale of the product when the price is x dollars. Assume demand is equal to the number sold.
O R(x) = x + D(x)
O R(X) = x · D(x)
O R(X) = D(x)
O R(x) = x - D(x)
O R(x) = x + x• D(x)
(c) Calculate R'(x) when x = 4.25.
R'(4.25) = $
X per dollar
Enter an exact number.
Interpret R'(x) when x = 4.25.
When the price is $
the revenue generated from the sale of the product is -Select--
by $
per dollar of price.
Transcribed Image Text:Let D(x) be the demand (in units) for a new product when the price is x dollars. (a) Write sentences interpreting the following. (i) D(4.25) = 200 When the price is $ 4.25 the demand is 200 units. (ii) D'(4.25) = -10 When the price is $ 4.25 the demand is decreasing by 10 per dollar of product price. (b) Write a formula for the revenue R(x) generated from the sale of the product when the price is x dollars. Assume demand is equal to the number sold. O R(x) = x + D(x) O R(X) = x · D(x) O R(X) = D(x) O R(x) = x - D(x) O R(x) = x + x• D(x) (c) Calculate R'(x) when x = 4.25. R'(4.25) = $ X per dollar Enter an exact number. Interpret R'(x) when x = 4.25. When the price is $ the revenue generated from the sale of the product is -Select-- by $ per dollar of price.
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