Math

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A fast food shop plans to employ 8 full-time staff and some part-time staff.Suppose that the daily wages for a full-time staff and a part-time staff are $350 and $250 respectively. In order to control the daily running cost, the total expenditure on wages must not exceed $5000 per day.

(a) At most how many part-time staff can be employed?

(b) Hence, find the total daily wages.

  • Math -

    Let x = part - time staff

    Total cost for full-time workers =
    350 * 8 = 2800

    2800 + 250x = 5000
    250x = 5000 - 2500
    x = 8.8
    Since I have not met 4/5'ths of a person we would have to either round up or down. Since the daily wage cannot exceed $5000 we will round down to 8.
    Therefore they can hire 8 part time workers and 8 full time workers without exceeding daily wage cap.

    Therefore Total cost is: 2800 + 250(8) =4800

    $2000 to part time workers
    $2800 to full time workers.

  • Math -

    EDIT:

    Change 250x = 5000 - 2500
    to: 250x = 5000 - 2800

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