For a certain company, the cost for producing a items is 40x +300 and the revenue for selling a items is 80r – 0.5x2. The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling r items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values ofx that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or I + 1; z - 1). The order of the list does not matter. To enter Va, type sqrt(a). Part c: Is it possible for the company to make a profit of $15,000?
For a certain company, the cost for producing a items is 40x +300 and the revenue for selling a items is 80r – 0.5x2. The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling r items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values ofx that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or I + 1; z - 1). The order of the list does not matter. To enter Va, type sqrt(a). Part c: Is it possible for the company to make a profit of $15,000?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![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 all three parts (parts a, b, and c) of the problem. 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 \( x^2 \) you get \( x \) 2 instead, then change your \( x2 \) to \( x^2 \).
Hint: We covered this topic in "2-1 Reading and Participation Activities: Quadratic Equations" in Module Two. You can check your answer to part b to make sure that you are on the right track.
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For a certain company, the cost for producing \( x \) items is \( 40x + 300 \) and the revenue for selling \( x \) items is \( 80x - 0.5x^2 \).
The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!
**Part a:** Set up an expression for the profit from producing and selling \( x \) items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)
**Part b:** Find two values of \( x \) that will create a profit of $300.
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or \( x+1; x-1 \)). The order of the list does not matter. To enter \( \sqrt{a} \), type sqrt(a).
\( x = \) [ ]
**Part c:** Is it possible for the company to make a profit of $15,000?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd447044-2d2d-49a5-ae6a-64332b65b635%2Fed8ebaa4-87c2-439a-b034-57360eed3118%2F5qfi5s4_processed.jpeg&w=3840&q=75)
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 all three parts (parts a, b, and c) of the problem. 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 \( x^2 \) you get \( x \) 2 instead, then change your \( x2 \) to \( x^2 \).
Hint: We covered this topic in "2-1 Reading and Participation Activities: Quadratic Equations" in Module Two. You can check your answer to part b to make sure that you are on the right track.
---
For a certain company, the cost for producing \( x \) items is \( 40x + 300 \) and the revenue for selling \( x \) items is \( 80x - 0.5x^2 \).
The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!
**Part a:** Set up an expression for the profit from producing and selling \( x \) items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)
**Part b:** Find two values of \( x \) that will create a profit of $300.
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or \( x+1; x-1 \)). The order of the list does not matter. To enter \( \sqrt{a} \), type sqrt(a).
\( x = \) [ ]
**Part c:** Is it possible for the company to make a profit of $15,000?
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