The division of Tech Mine Corporation manufactures pagers. The weekly fixed cost for the division is $20,000, and the variable cost for producing x pagers per week is V(x) = 0.000001x³ – 0.01x² + 50x dollars. The company realizes a revenue of R(x) = – 0.02x2 + 150x (0

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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Problem 2.
As needed, please review the lecture slides for Section 1.2.
The division of Tech Mine Corporation manufactures pagers. The weekly fixed cost for the division is $20,000,
and the variable cost for producing x pagers per week is
V(x) = 0.000001r³ – 0.01x² + 50x
dollars. The company realizes a revenue of
R(x) = – 0.02x² + 150x (0<x< 3000)
dollars from the sale of x pagers/week.
a. Find the level of production that will yield a maximum profit for the manufacturer.
b. What is the maximum profit?
Transcribed Image Text:Problem 2. As needed, please review the lecture slides for Section 1.2. The division of Tech Mine Corporation manufactures pagers. The weekly fixed cost for the division is $20,000, and the variable cost for producing x pagers per week is V(x) = 0.000001r³ – 0.01x² + 50x dollars. The company realizes a revenue of R(x) = – 0.02x² + 150x (0<x< 3000) dollars from the sale of x pagers/week. a. Find the level of production that will yield a maximum profit for the manufacturer. b. What is the maximum profit?
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