Mat/117 Appendix C Essay

1034 Words May 1st, 2012 5 Pages
Associate Level Material
Appendix C

Polynomials

Retail companies must keep close track of their operations to maintain profitability. Often, the sales data of each individual product is analyzed separately, which can be used to help set pricing and other sales strategies.

Application Practice

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

1. In 2002, Home Depot’s sales amounted to $58,200,000,000. In 2006, its sales were $90,800,000,000.

2. Write Home Depot’s 2002 sales and 2006 sales in In this problem, we analyze
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Provide your answer in simplified form.

R=xp r=x(-x+62) r=-x2+62x

The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s cost for a set of tile is $6 each. Let x represent the number of tile sets.

c. If b represents a fixed cost, what value would represent b? b=300

d. Find the cost equation for the tile. Write your answer in the form C = mx + b.

C=6x+300

The profit made from the sale of tiles is found by subtracting the costs from the revenue.

e. Find the Profit Equation by substituting your equations for R and C in the equation [pic]. Simplify the equation. P=(-x2+62x)-(6x+300) p=-x2+56x-300

f. What is the profit made from selling 20 tile sets per month? P(20)=-(20)2+56(20)-300 P=(20)=-400+1120-300 P=(20)=420

g. What is the profit made from selling 25 tile sets each month? P(25)=-(25)2+56(25)-300 P(25)=-625+1400-300 P(25)=475

h. What is the profit made from selling no tile sets each month? Interpret your answer. P(0)=-(0)2+56(0)-300 P(0)=-0+0-300 P(0)=-300 this is what

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