For a certain company, the cost function for producing x items is C(x)=50x+100 and the revenue function for selling x items is R(x)=−0.5(x−100)2+5,000. The maximum capacity of the company is 130 items.Assuming that the company sells all that it produces, what is the profit function?P(x)= .Hint: Profit = Revenue - Cost as we examined in Discussion 3.What is the domain of P(x)?Hint: Does calculating P(x) make sense when x=−10 or x=1,000?The company can choose to produce either 50 or 60 items. What is their profit for each case, and which level of production should they choose?Profit when producing 50 items = Profit when producing 60 items = Can you explain, from our model, why the company makes less profit when producing 10 more units?

Name: For a certain company, the cost function for producing x items is C(x)
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Description: For a certain company, the cost function for producing x items is C(x)=50x+100 and the revenue function for selling x items is R(x)=−0.5(x−100)2+5,000. The maximum capacity of the company is 130 items.Assuming that the company sells all that it produ

consider the equation The cost function for producing x items is C(x)=50x+100 and the revenue…

Answered: For a certain company, the cost…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Rational Functions And Conics

Section4.2: Graphs Of Rational Functions

Problem 88E

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For a certain company, the cost function for producing x items is C(x)=50x+100 and the revenue function for selling x items is R(x)=−0.5(x−100)2+5,000. The maximum capacity of the company is 130 items.

Assuming that the company sells all that it produces, what is the profit function?
P(x)= .

Hint: Profit = Revenue - Cost as we examined in Discussion 3.

What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?
The company can choose to produce either 50 or 60 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 50 items =

Profit when producing 60 items =

Can you explain, from our model, why the company makes less profit when producing 10 more units?

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