Find the maximum profit and the number of units that must be produced and sold order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in thousands of dollars, and x is in thousands of units, R(x) = 8x- 2x2, C(x)=x - 4x? + 2x + 1 The production level for the maximum profit is about units. (Do not round until the final answer. Then round to the whole number as needed.) The profit is about $. (Do not round until the final answer. Then round to the whole number as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in thousands of dollars, and x is in thousands of units.
R(x) = 8x – 2x, C(x) = x° – 4x² + 2x + 1
The production level for the maximum profit is about units.
(Do not round until the final answer. Then round to the whole number as needed.)
The profit is about $
(Do not round until the final answer. Then round to the whole number as needed.)
Enter your answer in each of the answer boxes.
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Transcribed Image Text:Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in thousands of dollars, and x is in thousands of units. R(x) = 8x – 2x, C(x) = x° – 4x² + 2x + 1 The production level for the maximum profit is about units. (Do not round until the final answer. Then round to the whole number as needed.) The profit is about $ (Do not round until the final answer. Then round to the whole number as needed.) Enter your answer in each of the answer boxes. MacBook Pro G Search or type URL esc @ 23 $ & 1 2 3 4 5 7 Q W E R T Y A S F G H. J K *00
Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p= 200 - 0.75x. It also determines that the total cost of producing x suits is given by C(x) = 4500 + 0.5x.
a) Find the total revenue, R(x).
b) Find the total profit, P(x).
c) How many suits must the company produce and sell in order to maximize profit?
d) What is the maximum profit?
e) What price per suit must be charged in order to maximize profit?
a) R(x) =|
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b) P(x) =
c)
suits
d) The maximum profit is $
e) The price per unit must be $
Enter your answer in each of the answer boxes.
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Transcribed Image Text:Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p= 200 - 0.75x. It also determines that the total cost of producing x suits is given by C(x) = 4500 + 0.5x. a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit? a) R(x) =| %3D b) P(x) = c) suits d) The maximum profit is $ e) The price per unit must be $ Enter your answer in each of the answer boxes. MacBook Pro G Search or type URL esc @ %23 24 & 1 2 4 5 6 7 レ T. Y. * 00 3.
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