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Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V(x) = 0.000003x3 − 0.05x2 + 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 1600 units are produced and sold each month? $

Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V(x) = 0.000003x3 − 0.05x2 + 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 1600 units are produced and sold each month? $

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.2: Complex Solutions Of Equations
Problem 79E: Profit The demand equation for a microwave oven is given by p=1400.0001x, where p is the unit price...
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Profit from Sale of Smartphones

Apollo manufactures smartphones at a variable cost of
V(x) = 0.000003x3 − 0.05x2 + 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 1600 units are produced and sold each month?
$

 

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