For a certain company, the cost function for producing a items is C (x) = 30 x + 200 and the revenue function for selling æ items is R(x) = -0.5(x - 100)2 + 5,000. The maximum capacity of the company is 160 items. The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C (x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit! Answers to some of the questions are given below so that you can check your work. 1. 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. 2. What is the domain of P(x)? Hint: Does calculating P(x) make sense when æ = -10 or æ = 1,000? 3. The company can choose to produce either 70 or 80 items. What is their profit for each case, and Activate Windows which level of production should they choose?

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B Mobius - MAT-136-J5539 Intro f
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For a certain company, the cost function for producing a items is C (x) = 30 x + 200 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 160 items.
The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function
C (x) (how much it spends). In economic models, one typically assumes that a company wants to
maximize its profit, or at least make a profit!
Answers to some of the questions are given below so that you can check your work.
1. 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.
2. What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x = -10 or x = 1,000?
3. The company can choose to produce either 70 or 80 items. What is their profit for each case, and
which level of production should they choose?
Activate Windows
Go to Settings to activate Windows.
Previous Page
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Quit & Save
Previous Unit Item
Next Unit Item
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P Type here to search
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Transcribed Image Text:Home - » Students B Mobius - MAT-136-J5539 Intro f m Southern New Hampshire Univer x b My Questions | bartleby 8 https://snhu.mobius.cloud/727/2034/assignments/57869/0 For a certain company, the cost function for producing a items is C (x) = 30 x + 200 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 160 items. The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C (x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit! Answers to some of the questions are given below so that you can check your work. 1. 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. 2. What is the domain of P(x)? Hint: Does calculating P(x) make sense when x = -10 or x = 1,000? 3. The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose? Activate Windows Go to Settings to activate Windows. Previous Page Save Quit & Save Previous Unit Item Next Unit Item Next Page 9:04 PM P Type here to search 6/10/2021 近
Home - » Students
B Mobius - MAT-136-J5539 Intro i
m Southern New Hampshire Univer x
b My Questions | bartleby
Ô https://snhu.mobius.cloud/727/2034/assignments/57869/0
maximize its profit, or at least make a profit!
Answers to some of the questions are given below so that you can check your work.
1. Assuming that the company sells all that it produces, what is the profit function?
P(x) =
固岛。
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
2. What is the domain of P(x)?
Hint: Does calculating P (x) make sense when x = -10 or x = 1,000?
3. The company can choose to produce either 70 or 80 items. What is their profit for each case, and
which level of production should they choose?
Profit when producing 70 items =
Number
Profit when producing 80 items = Number
4. Can you explain, from our model, why the company makes less profit when producing 10 more
units?
Activate Windows
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Previous Unit Item
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9:04 PM
P Type here to search
6/10/2021
Transcribed Image Text:Home - » Students B Mobius - MAT-136-J5539 Intro i m Southern New Hampshire Univer x b My Questions | bartleby Ô https://snhu.mobius.cloud/727/2034/assignments/57869/0 maximize its profit, or at least make a profit! Answers to some of the questions are given below so that you can check your work. 1. Assuming that the company sells all that it produces, what is the profit function? P(x) = 固岛。 Hint: Profit = Revenue - Cost as we examined in Discussion 3. 2. What is the domain of P(x)? Hint: Does calculating P (x) make sense when x = -10 or x = 1,000? 3. The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose? Profit when producing 70 items = Number Profit when producing 80 items = Number 4. Can you explain, from our model, why the company makes less profit when producing 10 more units? Activate Windows Go to Settings to activate Windows. Previous Page Save Quit & Save Previous Unit Item Next Unit Item Next Page 9:04 PM P Type here to search 6/10/2021
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