Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V(x) = 0.000003x³ – 0.04x² + 300x dollars, where x denotes the number of units manufactured per month. The monthly fixed cost attributable to the division that produces them is $100,000. The total revenue realized by Apollo from the sale of x smartphones is given by the total revenue function R(x) = -0.1x2 + 500x (0 < x < 5000) where R(x) is measured in dollars. (a) Find a function C that gives the total cost incurred by the manufacture of x smartphones. C(x) = (b) Find the total profit function. P(x) = (c) What is the profit (in dollars) when 1900 units are produced and sold each month? 2$

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 14E: Profit The profit P, in thousands of dollars that a manufacturer makes is a function of the number N...
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Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of
V(x) = 0.000003x³ – 0.04x² + 300x
dollars, where x denotes the number of units manufactured per month. The monthly fixed cost attributable to the division
that produces them is $100,000. The total revenue realized by Apollo from the sale of x smartphones is given by the total
revenue function
R(x) = -0.1x² + 500x (0 < x < 5000)
where R(x) is measured in dollars.
(a) Find a function C that gives the total cost incurred by the manufacture of x smartphones.
C(x) =
(b) Find the total profit function.
P(x) =
(c) What is the profit (in dollars) when 1900 units are produced and sold each month?
Transcribed Image Text:Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V(x) = 0.000003x³ – 0.04x² + 300x dollars, where x denotes the number of units manufactured per month. The monthly fixed cost attributable to the division that produces them is $100,000. The total revenue realized by Apollo from the sale of x smartphones is given by the total revenue function R(x) = -0.1x² + 500x (0 < x < 5000) where R(x) is measured in dollars. (a) Find a function C that gives the total cost incurred by the manufacture of x smartphones. C(x) = (b) Find the total profit function. P(x) = (c) What is the profit (in dollars) when 1900 units are produced and sold each month?
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