Many marketers assumed that consumers would go for reduced-calorie foods in a big way. While these light

Many marketers assumed that consumers would go for reduced-calorie foods in a big way. While these €œlight€ foods caught on to some extent, they hadn€™t yet sold in the large quantities their producers would have liked (with some exceptions). Table 4.3.11 shows the sales levels of some brands of €œlight€ foods.
a. Find the size of the total market for these brands.
b. Find the average sales for these brands.
c. Draw the cumulative distribution function.
d. Your company is planning to launch a new brand of light food. The goal is to reach at least the 20th percentile of current brands. Find the yearly sales goal in dollars.

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TABLE 4.3.11 Sales of Some "Light" Foods "Light" Food Entenmann's Fat Free goods Healthy Request soup Kraft Free processed cheese Aunt Jemima Lite and Butter Lite pancake syrup Fat Free Fig Newtons Hellmann's Light mayonnaise Louis Rich turkey bacon Kraft Miracle Whip free Ben & Jerry's frozen yogurt Hostess Lights snack cakes Perdue chicken/turkey franks Milky Way Il candy bar Sales $ millions) baked $125.5 123.0 83.4 58.0 44.4 38.0 32.1 30.3 24.4 19.3 3.8