Solve the problem below. For your initial post in Brightspace, copy the description of your company given in the box below and then enter your solution to the four questions. To copy the description of your company, highlighting and using "copy" from here in Mobius and then using "paste" into Brightspace should work. However, if when you copy and paste x“ you get x2 instead, then change your x2 to x^2. Hint: This question is an extension to the topic of Discussion Three. For a certain company, the cost function for producing x items is C (x) = 40 x + 100 and the revenue function for selling x items is R(x) = -0.5(x – 80)2 + 3,200. The maximum capacity of the company is 110 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?
Solve the problem below. For your initial post in Brightspace, copy the description of your company given in the box below and then enter your solution to the four questions. To copy the description of your company, highlighting and using "copy" from here in Mobius and then using "paste" into Brightspace should work. However, if when you copy and paste x“ you get x2 instead, then change your x2 to x^2. Hint: This question is an extension to the topic of Discussion Three. For a certain company, the cost function for producing x items is C (x) = 40 x + 100 and the revenue function for selling x items is R(x) = -0.5(x – 80)2 + 3,200. The maximum capacity of the company is 110 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?
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
Related questions
Question
Transcribed Image Text:3. The company can choose to produce either 40 or 50 items. What is their profit for each case,
and
which level of production should they choose?
Profit when producing 40 items =
Number
Profit when producing 50 items =
Number
4. Can you explain, from our model, why the company makes less profit when producing 10 more
units?
Transcribed Image Text:Solve the problem below. For your initial post in Brightspace, copy the description of your company
given in the box below and then enter your solution to the four questions. To copy the description of
your company, highlighting and using "copy" from here in Mobius and then using "paste" into
Brightspace should work. However, if when you copy and paste x
you get x2 instead, then change
your
x2 to x^2.
Hint: This question is an extension to the topic of Discussion Three.
For a certain company, the cost function for producing x items is C (x) = 40 x + 100 and the
r = –0.5(x – 80)4 + 3,200. The maximum capacity of
revenue function for selling x items is R (x)
the
company
is 110 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)
固团,
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?
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