The selling price P of an item is 100- 0.02x dollars, where x is the number of items produced per day. If the cost C of producing and selling a items is 40x+15, 000 dollars per day, how many items should be produced and sold every day in order to maximize the profit?

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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The selling price P of an item is 100 – 0.02x dollars, where x is the number of items produced
per day. If the cost C of producing and selling x items is 40x+15, 000 dollars per day, how many
items should be produced and sold every day in order to maximize the profit?
Transcribed Image Text:The selling price P of an item is 100 – 0.02x dollars, where x is the number of items produced per day. If the cost C of producing and selling x items is 40x+15, 000 dollars per day, how many items should be produced and sold every day in order to maximize the profit?
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