Optimization ProblemUse CalculusA company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product isC(x)=500,000+80x+0.003x2The 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?

Name: Optimization ProblemUse CalculusA company that produces chemicals used
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Description: Optimization ProblemUse CalculusA company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product isC(x)=500,000+80x+0.003x2The company can produce no more than 30,000 units d

→Let y=f(x) be any function and we want to find the maximun or minimum value of f(x).→ Put df(x)dx=0…

Answered: Optimization Problem Use Calculus A…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.4: Linear Programming

Problem 15E

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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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