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Math Help - Productivity Question

  1. #1
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    Productivity Question

    A restaurant counts a cheeseburger as equivalent to 1.25 hamburgers and chicken sandwiches as 0.8 hamburgers. Current employment is five full-time employees (each working a 40-hour week).

    a) If the restaurant sold 700 hamburgers, 900 cheeseburgers, and 500 chicken sandwiches in one week, what is its productivity?

    b) What would its productivity have been if it had sold the same number of sandwiches (2,100) but the mix was 700 of each type?

    I know that productivity is calculated by total outputs / total inputs. The total inputs are 200 labor hours.

    Can someone point me in the right direction for this?
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  2. #2
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    Sounds like the question wants you to work out productivity in terms of hamburger equivalent/worked hours.

    As you mention, worked hours = 40 * 5 = 200

    The question gives you how much a cheeseburger(CB) and Chicken sandwich (CS) is worth compared to a hamburger (HB);

    CB = 1.25 HB
    CS = 0.8 HB

    So, just substitute these values to get hamburger equivalent:

    700 + (1.25 * 900) + (0.8 * 500)

    and for part be instead of using 700, 900, 500 replace them with 700

    [ 700 + (1.25 * 700) + (0.8 * 700) ] / 200
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