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Question 546890: 1. In this problem, we analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose a market research company finds that at a price of p = $31, they would sell x = 25 tile sets each month. If they lower the price to p = $6, then more people would purchase the tiles, and they can expect to sell x = 150 tile sets in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. Hint: Write an equation using two points in the form (x,p).
A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
b. Substitute the result you found from part a. into the equation R = xp to find the revenue equation. Provide your answer in simplified form.
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 $600, and the supplier’s cost for a set of tile is $2 each. Let x represent the number of tile sets.
c. If b represents a fixed cost, what value would represent b?
d. Find the cost equation for the tile sets. Write your answer in the form C = mx + b.
Click here to see answer by KMST(1874)  |
Question 547122: In 2005, Ebony magazine gross sales amounted to $6,550,500,000. In 2003, its sales were $5,115,250,000.
What was the percent growth in Ebony magazine sales from 2003 to 2005?
You can find the percent of growth in Ebony magazine sales from 2003 to 2005, follow these steps:
a. Write Ebony magazine 2003 sales and 2005 sales in scientific notation.
b. Find the increase in sales from 2003 to 2005.
c. Divide the increase in sales from above by the sales from 2003
d. Multiply the result by 100
e. Do all your work by using scientific notation
Click here to see answer by JBarnum(2044)  |
Question 547345: 24x^2y-12x^2+20xy-10x is the polynomial I am supposed to factor out.
I factor with 2x the first time around, I am then left with 2x[3x(4y-2)5(2y-1)] in which I do not have "twin parenthesis, what am I doing wrong here?
Click here to see answer by stanbon(57424) |
Question 547620: Essay question: show all work. Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial x2 – 3x + 6. She estimates that utilities costs for one month is given by 7x – 9. Find and simplify an expression that would estimate Suzie’s total costs for one month.
Click here to see answer by josmiceli(9698)  |
Question 548196: The cost, in millions of dollars, to remove x % of an oil spill in the Gulf of Mexico modeled by
c=18,000/215-2x
(Do not convert the percentages below)
a. What is the cost to remove 15% of the pollutant?
b. What is the cost to remove 25% of the pollutant?
c. What is the cost to remove 45% of the pollutant?
d. What is the cost to remove 65% of the pollutant?
e. What is the cost to remove 85% of the pollutant?
Click here to see answer by JBarnum(2044)  |
Question 548194: The cost, in millions of dollars, to remove x % of an oil spill in the Gulf of Mexico modeled by
(Do not convert the percentages below)
a. What is the cost to remove 15% of the pollutant?
b. What is the cost to remove 25% of the pollutant?
c. What is the cost to remove 45% of the pollutant?
d. What is the cost to remove 65% of the pollutant?
e. What is the cost to remove 85% of the pollutant?
Click here to see answer by JBarnum(2044)  |
Question 548279: A research market company finds that at a price of p=20,they would sell x=42 tiles each month, if they lower the price to p=10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month`s time I need the equation of the line for the demand equation and then a answer using the form p=mx+b . I have to write an equation using two points in the form (x,p)
Click here to see answer by Sarpi(32)  |
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