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9.1 Information Design

9.1 Information Design
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  • 7. Comparing Customer Satisfaction

    Which competitor has the greatest customer satisfaction? (See Example 3.)

    • Worked-Out Solution

      To find the competitor with the greatest customer satisfaction, determine which colored graph intersects the branch labeled "Customer satisfaction" farthest from the center. Company D (represented by the orange graph) has the greatest customer satisfaction, with a rating of about 4.5.

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      ______     ___      ______     ___              
     /_   _//   / _ \\   /_____//   / _ \\      ___   
       | ||    | / \ ||  `____ `   | / \ ||    /   || 
      _| ||    | \_/ ||  /___//    | \_/ ||   | [] || 
     /__//      \___//   `__ `      \___//     \__ || 
     `--`       `---`    /_//       `---`       -|_|| 
                         `-`                     `-`  
    
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  • 8. Comparing the Number of Employees

    Which competitor has the most employees? (See Example 3.)

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      _  _     ______   __   __     ___     _    _   
     | \| ||  /_   _//  \ \\/ //   / _ \\  | \  / || 
     |  ' ||   -| ||-    \   //   | / \ || |  \/  || 
     | .  ||   _| ||_    / . \\   | \_/ || | .  . || 
     |_|\_||  /_____//  /_//\_\\   \___//  |_|\/|_|| 
     `-` -`   `-----`   `-`  --`   `---`   `-`  `-`  
                                                     
    
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  • 9. Comparing Profits as a Percent of Revenue and Profits

    Which competitor has the greatest profit percent? Which competitor makes the most profit? Explain your reasoning. (See Example 3.)

    • Worked-Out Solution

      The graph of company D (represented by the orange graph) intersects the branch labeled Profit farthest from the center, so the competitor with the greatest profit percent is company D.

      To determine the profit for each company, multiply the revenue by the profit percent (in decimal form) for the company.

      Compare the results to determine which competitor makes the most profit. Company E makes the most profit, $45 million. Although company D has the greatest profit percent, company C and company E both have greater profits than company D because of greater revenues.

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      _____    _    _     _  _     ______            
     /  ___|| | || | ||  | \| ||  /_   _//   ____    
    | // __   | || | ||  |  ' ||   -| ||-   |    \\  
    | \\_\ || | \\_/ ||  | .  ||   _| ||_   | [] ||  
     \____//   \____//   |_|\_||  /_____//  |  __//  
      `---`     `---`    `-` -`   `-----`   |_|`-`   
                                            `-`      
    
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  • 10. Using Radar Graphs in Information Design

    When do you think it would be beneficial to use a radar graph in information design? (See Example 3.)

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                ______   _____     _    _             
      ____     /_   _// |  __ \\  | || | ||     ___   
     |    \\    -| ||-  | |  \ || | || | ||    /   || 
     | [] ||    _| ||_  | |__/ || | \\_/ ||   | [] || 
     |  __//   /_____// |_____//   \____//     \__ || 
     |_|`-`    `-----`   -----`     `---`       -|_|| 
     `-`                                         `-`  
    
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  • 11. Describing the Stock Prices and Patterns in an Area Graph

    The area graph shows the stock price of company C during 2010. Describe the information and patterns presented in the graph. (See Example 4.)

    • Worked-Out Solution

      The area graph shows the price of a share of company C stock through 2010. The price stayed close to $24 through the first 6 weeks of 2010. The price dropped significantly during the next two or three weeks and then settled at about $15 through week 16. The price increased modestly from week 16 through week 31, when it reached nearly $20. The price increased more rapidly from week 31 through week 37 when it peaked at just over $30. From week 37 on, the strongest trend was a slow decrease in price to about $25 at the end of 2010.

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     _    _     _____              _    _    _    _   
    | || | ||  |  ___||   ____    | || | || | \  / || 
    | || | ||  | ||__    |    \\  | || | || |  \/  || 
    | \\_/ ||  | ||__    | [] ||  | \\_/ || | .  . || 
     \____//   |_____||  |  __//   \____//  |_|\/|_|| 
      `---`    `-----`   |_|`-`     `---`   `-`  `-`  
                         `-`                          
    
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  • 12. Finding the Stock Price from an Area Graph

    The area graph shows the stock price of company C during 2010. What was the stock price in week 31? (See Example 4.)

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     __   _      ___     _    _      ___    __    __  
    | || | ||   / _ \\  | \  / ||   / _ \\  \ \\ / // 
    | '--' ||  | / \ || |  \/  ||  | / \ ||  \ \/ //  
    | .--. ||  | \_/ || | .  . ||  | \_/ ||   \  //   
    |_|| |_||   \___//  |_|\/|_||   \___//     \//    
    `-`  `-`    `---`   `-`  `-`    `---`       `     
                                                      
    
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  • 13. Determining Whether a Stock Investment Earns a Profit

    The area graph shows the stock price of company C during 2010. Suppose you bought 100 shares of stock in week 15 and sold them in week 51. Did you lose money or earn a profit? (See Example 4.)

    • Worked-Out Solution

      The prices for one share of stock are shown by the graph to be about $15 in week 15 and about $25 in week 51. Because you sold the shares for about $10 per share more than you paid for them, you made a profit on the 100 shares of about 10(100) = $1000.

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     __   __   __   __   __   __   _    _    ______   
     \ \\/ //  \ \\/ //  \ \\/ // | || | || |      \\ 
      \   //    \ ` //    \   //  | || | || |  --  // 
      / . \\     | ||     / . \\  | \\_/ || |  --  \\ 
     /_//\_\\    |_||    /_//\_\\  \____//  |______// 
     `-`  --`    `-`'    `-`  --`   `---`   `------`  
                                                      
    
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  • 14. Finding the Percent Return on an Investment

    The area graph shows the stock price of company C during 2010. What was the highest percent return an investor could have earned during 2010? Explain your reasoning. (See Example 4.)

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      _____     _____     _  _    _    _     ______  
     / ____||  |  ___||  | \| || | || | ||  /_____// 
    / //---`'  | ||__    |  ' || | || | ||  `____ `  
    \ \\___    | ||__    | .  || | \\_/ ||  /___//   
     \_____||  |_____||  |_|\_||  \____//   `__ `    
      `----`   `-----`   `-` -`    `---`    /_//     
                                            `-`      
    
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