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Math Help - Relations and Functions.

  1. #1
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    Relations and Functions.

    A salesman has a base salary of $28,000 and earns in a addition 5% commission per unit for the first 100 units sold, 7.5% per unit for the next 100 units sold and 12% per unit for any additional units sold (ie; above 200)

    a) if the market price per unit is $7500, give the function of the income earned in terms of units sold
    b) What is the salesmanís income if he sells 338 units?
    c) How many units must he sell to have an income of at least $35; 000:00?
    Last edited by mr fantastic; September 26th 2010 at 06:24 PM. Reason: Edited title.
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  2. #2
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    a. x = number of unit sold, y = income

    y= 28.000, x<100
    y= 28.000+0.05*x*7500, 100<x<200
    y=28.000+0.05*(x-99)*7500+0.075*(x-199)*7500, x>200

    b. x=338, use function 3
    y=28.000+0.05*(x-99)*7500+0.075*(x-199)*7500

    c. He must at least sold 20 unit (please check function 3)
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  3. #3
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    function 2, y = 28000+0.05*(x-99), 100<x<200. sorry for miss typo
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