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4. The accounting department at Factory Shoe has determined that the quadratic relation P = - 2x²+ 24x - 54 models the company's profit. In this equation, P represents the profit (in $100 000s) and x represents the number of pairs of shoes sold (in 100 000s). a) Write the equation in factored form. (Note: you will need to use your factoring skills from the first unit). b) What are the zeros of the relation? What do they represent? c) Calculate the number of pairs of shoes that the company must sell to maximize its profit. How much would that maximum be?

4. The accounting department at Factory Shoe has determined that the quadratic relation P = - 2x²+ 24x - 54 models the company's profit. In this equation, P represents the profit (in $100 000s) and x represents the number of pairs of shoes sold (in 100 000s). a) Write the equation in factored form. (Note: you will need to use your factoring skills from the first unit). b) What are the zeros of the relation? What do they represent? c) Calculate the number of pairs of shoes that the company must sell to maximize its profit. How much would that maximum be?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. The accounting department at Factory Shoe has determined that the quadratic relation 2x² + 24x - 54 models the company's profit. In this equation, P represents the profit (in $100 000s) and x represents the number of pairs of shoes sold (in 100 000s). P =- a) Write the equation in factored form. (Note: you will need to use your factoring skills from the first unit). b) What are the zeros of the relation? What do they represent? c) Calculate the number of pairs of shoes that the company must sell to maximize its profit. How much would that maximum be?
Transcribed Image Text:4. The accounting department at Factory Shoe has determined that the quadratic relation 2x² + 24x - 54 models the company's profit. In this equation, P represents the profit (in $100 000s) and x represents the number of pairs of shoes sold (in 100 000s). P =- a) Write the equation in factored form. (Note: you will need to use your factoring skills from the first unit). b) What are the zeros of the relation? What do they represent? c) Calculate the number of pairs of shoes that the company must sell to maximize its profit. How much would that maximum be?
3. The parabola y = x is compressed vertically and translated down and right. The point (4, -10) is on the new graph. What is a possible equation for the new graph?
Transcribed Image Text:3. The parabola y = x is compressed vertically and translated down and right. The point (4, -10) is on the new graph. What is a possible equation for the new graph?
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