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20 January, 21:08

A retail store had sales of $45,900 in April and $56,200 in May. The store employs eight full-time workers who work a 40-hour week. In April the store also had eight part-time workers at 12 hours per week, and in May the store had nine part-timers at 17 hours per week (assume four weeks in each month).

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  1. 20 January, 23:41
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    7.6856%

    Step-by-step explanation:

    What we are asked is the percentage change in productivity from April to May by using sales dollars as the measure of output.

    Given:

    Output in Dollars in April = $45,900

    Output in Dollars in May = $56,200

    8 full-time workers working 40 hours per week

    8 part-time workers working 12 hours per week in April

    9 part-time workers working 17 hours per week in May

    4 weeks = 1 month

    So, first we find Input in Hours for both April and May.

    Input in Hours in April = (8*40 + 8*12) * 4 = 1664

    Input in Hours in May = (8*40 + 9*17) * 4 = 1892

    Then, we find Productivity for both April and May.

    Generally, Productivity = Output in Dollars / Input in Hours

    Productivity in April = 45,900 / 1664 = 27.584

    Productivity in May = 56,200 / 1892 = 29.704

    Finally, we find Percentage Change

    Percentage Change = (29.704 - 27.584) / 27.584 = 0.076856 = 7.6856%
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