For a certain company, the cost function for producing x items is c (x)=50x+150 and the revenue function for selling x items is R(x)=-.5(x-110)^2+6050. The maximum capacity of the company is 140 items. Assuming that the company sells all that it produces, what is the profit function?

For a certain company, the cost function for producing x items is c (x)=50x+150 and the revenue function for selling x items is R(x)=-.5(x-110)^2+6050. The maximum capacity of the company is 140 items. Assuming that the company sells all that it produces, what is the profit function?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 4SE: How does the graph of the absolute value function compare to the graph of the quadratic function,...

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Question

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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It is given that c(x)=50x+150 and R(x)=-0.5(x-110)²+6050.

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