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Math Help - Determine the increase in sales

  1. #1
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    Determine the increase in sales

    This is a practice problem in my book. I have the solution, 40, but I don't know how to find it. Help please.

    A company will sell N unites of a product after spending $x thousand in advertising as given by
    N=60x-x˛ 5≤x≤30
    Approximately what increase in sales will result by increasing the advertising budget from $10,000 to $11,000

    Thanks for any help
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  2. #2
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    May 2011
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    Sacramento, CA
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    First, realize that x is in thousands of dollars. Thus, evaluate N for $10,000 (i.e., x = 10) and for $11,000 (i.e., x = 11). Since the range of x is provided, which when translated says N works for advertising budgets of $5,000 to $30,000, these evaluations for N will work. What do you get for N in each case? Take their difference. I will add, my answer was 39, not 40. In other words, the company will sell 39 more units when the advertising spending is increased from $10,000 to $11,000.
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