Quadrant C
Consider this algebraic expression:
21.98x-3.75x-1.50x-1.65x-10x-365,000. Write four other expressions that are equivalent to the given expression (use expansion and simplifying). Explain how you know the expressions are equivalent and state the properties used.
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Quadrant D
Find the current price of one of your favorite CDs. Profit for the record company that produces the CD is a function of CD sales. Assume that the record company had the following production and distribution costs related to this CD. - $365,000 for studio, video, touring, and promotion expenses;
- $3.75 per CD for pressing and packaging costs;
- $1.50 per CD for discounts to music stores;
- $1.65 per CD for other discounts.
- $10.00 per CD paid to the band
Given this information and the selling price of the CD, write a formula for a function that shows how the record company's profit depends on the number of CDs sold. Using this formula, can the record company make a profit on this CD? Can they make a profit if the CD sells for $25. How about if the CD sells for $12? For the selling price(s) for which the record company can make a profit, how many CDs must be sold before they begin making a profit? How many CDs must they sell to make a profit of $250,000? For the selling price(s) for which they cannot make a profit, how would you suggest they modify their costs so that they can make a profit?
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Quadrant A
Consider this algebraic expression:
21.98x-3.75x-1.50x-1.65x-10x-365,000. Put the expression in simplest form. Describe the process used to simplify.
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Quadrant B
Profit for a record company is a function of CD sales. For a given band, the record company had the following production and distribution conditions to consider. - $365,000 for studio, video, touring, and promotion expenses;
- $3.75 per CD for pressing and packaging costs;
- $1.50 per CD for discounts to music stores;
- $1.65 per CD for other discounts.
- $10.00 per CD paid to the band
The CD sells for $21.98. Using this information, write a formula for the function that shows how the record company's profit depends on the number of CDs sold. Explain your formula. Make the formula as simple as possible.
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