Optimization Problem Use Calculus A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is C(x)=500,000+80x+0.003x2 The company can produce no more than 30,000 units during a given time period. How many units of the chemical product should be manufactured and sold to maximize 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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Optimization Problem

Use Calculus

A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is

C(x)=500,000+80x+0.003x2

The company can produce no more than 30,000 units during a given time period. How many units of the chemical product should be manufactured and sold to maximize profit?

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