An office supply company manufactures and sells X permanent markers per year at a price of P €lunit. The Price/Demand equation for the markers is: p = 7- 0.002X 1- Write the Revenues function 2- What level of production and what price should the company charge for the markers to maximize revenues? The total cost of manufacturing is: C(x) = 1000 + 2x 3- Write the Company's Profit function 4- What level of production and what price should the company charge for the markers to maximize profits? 5- Draw a graph representing the above-mentioned situation Now the Government decides to tax the Company in 3€ for each marker produced. Taking into account this additional cost: 6- Write the company's new Cost function 7- Write the company's new Profit function 8- What level of production and what price should the company charge for the markers to maximize profits (with these new conditions)?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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An office supply company manufactures and sells X permanent markers per year at a price of P €lunit. The Price/Demand equation
for the markers is: p = 7- 0.002X
1- Write the Revenues function
2- What level of production and what price should the company charge for the markers to maximize revenues?
The total cost of manufacturing is: C(x) = 1000 + 2x
3- Write the Company's Profit function
4- What level of production and what price should the company charge for the markers to maximize profits?
5- Draw a graph representing the above-mentioned situation
Now the Government decides to tax the Company in 3€ for each marker produced. Taking into account this additional cost:
6- Write the company's new Cost function
7- Write the company's new Profit function
8- What level of production and what price should the company charge for the markers to maximize profits (with these new conditions)?
Transcribed Image Text:An office supply company manufactures and sells X permanent markers per year at a price of P €lunit. The Price/Demand equation for the markers is: p = 7- 0.002X 1- Write the Revenues function 2- What level of production and what price should the company charge for the markers to maximize revenues? The total cost of manufacturing is: C(x) = 1000 + 2x 3- Write the Company's Profit function 4- What level of production and what price should the company charge for the markers to maximize profits? 5- Draw a graph representing the above-mentioned situation Now the Government decides to tax the Company in 3€ for each marker produced. Taking into account this additional cost: 6- Write the company's new Cost function 7- Write the company's new Profit function 8- What level of production and what price should the company charge for the markers to maximize profits (with these new conditions)?
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