any produel defective computers that must be rejected tends to increase as the daily output creases. The number of rejects r depends on the total daily output, x, according to the uation: /(x) = - 60x -, for x≤ 180 where 180 is the maximum possible output. Each 250-x mputer produced is either sold or rejected. The company makes a profit of $300 for ch computer sold but loses $100 for each one rejected. What is the profit if they produce the maximum number of computers? What output will maximize the profit?

Calculus: Early Transcendentals
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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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10) A company is producing Netbook computers. In this manufacturing process, the number
of defective computers that must be rejected tends to increase as the daily output
increases. The number of rejects r depends on the total daily output, x, according to the
60x
equation: 7(x) = -
-, for x≤ 180 where 180 is the maximum possible output. Each
250-x'
computer produced is either sold or rejected. The company makes a profit of $300 for
each computer sold but loses $100 for each one rejected.
a) What is the profit if they produce the maximum number of computers?
b) What output will maximize the profit?
Transcribed Image Text:10) A company is producing Netbook computers. In this manufacturing process, the number of defective computers that must be rejected tends to increase as the daily output increases. The number of rejects r depends on the total daily output, x, according to the 60x equation: 7(x) = - -, for x≤ 180 where 180 is the maximum possible output. Each 250-x' computer produced is either sold or rejected. The company makes a profit of $300 for each computer sold but loses $100 for each one rejected. a) What is the profit if they produce the maximum number of computers? b) What output will maximize the profit?
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