The profit function for a certain commodity is P(x)=120x-x²-1100. Find the level of production that yields maximum profit, and find the maximum profit. Production levels of 120 yields a maximum profit of $1,100. Production levels of 120 yields a maximum profit of $2,500. Production levels of 60 yields a maximum profit of $6,040. Production levels of 60 yields a maximum profit of $3,600. Production levels of 60 yields a maximum profit of $2,500.

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...
Question
The profit function for a certain commodity is P(x) = 120x-x²-1100. Find the level of production that
yields maximum profit, and find the maximum profit.
Production levels of 120 yields a maximum profit of $1,100.
Production levels of 120 yields a maximum profit of $2,500.
Production levels of 60 yields a maximum profit of $6,040.
Production levels of 60 yields a maximum profit of $3,600.
Production levels of 60 yields a maximum profit of $2,500.
Transcribed Image Text:The profit function for a certain commodity is P(x) = 120x-x²-1100. Find the level of production that yields maximum profit, and find the maximum profit. Production levels of 120 yields a maximum profit of $1,100. Production levels of 120 yields a maximum profit of $2,500. Production levels of 60 yields a maximum profit of $6,040. Production levels of 60 yields a maximum profit of $3,600. Production levels of 60 yields a maximum profit of $2,500.
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