Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has determined that the demand for these speakers is represented by the following function, where p denotes the speaker's unit price (in dollars) and x denotes the quantity demanded. Find the following functions (in dollars), find the value (in dollars) and interpret your results. p--0.01x + 650 (0 sxs 20,000) (a) Find the revenue function R. R(x) = -0.01x + 650x Goodl (b) Find the marginal revenue function R'(x). R'(x) = (c) Compute the following value. R'(4,800) = Interpret your results. When the level of production is units, the production of the next speaker system will bring an additional revenue of dollars.
Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has determined that the demand for these speakers is represented by the following function, where p denotes the speaker's unit price (in dollars) and x denotes the quantity demanded. Find the following functions (in dollars), find the value (in dollars) and interpret your results. p--0.01x + 650 (0 sxs 20,000) (a) Find the revenue function R. R(x) = -0.01x + 650x Goodl (b) Find the marginal revenue function R'(x). R'(x) = (c) Compute the following value. R'(4,800) = Interpret your results. When the level of production is units, the production of the next speaker system will bring an additional revenue of dollars.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has
determined that the demand for these speakers is represented by the following function, where p denotes the speaker's unit price (in dollars) and x denotes the quantity demanded. Find
the following functions (in dollars), find the value (in dollars) and interpret your results.
p--0.01x + 650
(0 sxs 20,000)
(a) Find the revenue function R.
R(x) = -0.01x + 650x
Goodl
(b) Find the marginal revenue function R'(x).
R'(x) =
(c) Compute the following value.
R'(4,800) =
Interpret your results.
When the level of production is
units, the production of the next speaker system will bring an additional revenue of
dollars.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9953607-b507-4ba0-a1b4-642872b5a90b%2Fb46c53db-2b28-4fe7-906b-2f24b145bff1%2F716yfe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has
determined that the demand for these speakers is represented by the following function, where p denotes the speaker's unit price (in dollars) and x denotes the quantity demanded. Find
the following functions (in dollars), find the value (in dollars) and interpret your results.
p--0.01x + 650
(0 sxs 20,000)
(a) Find the revenue function R.
R(x) = -0.01x + 650x
Goodl
(b) Find the marginal revenue function R'(x).
R'(x) =
(c) Compute the following value.
R'(4,800) =
Interpret your results.
When the level of production is
units, the production of the next speaker system will bring an additional revenue of
dollars.
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