Fiona 發問於 科學及數學數學 · 6 年 前

Math Pls help

A professional organization is planning its annual convention to be held in San Francisco. Arrangements are being made with a large hotel in which the convention will be held. Registrants for the 3-day convention will be charged a flat fee of $500 per person, which includes registration fee, room, all meals, and tips. The hotel charges the organization $20,000 for the use of the facilities such as meeting rooms, ballroom. In addition, the hotel charges $295 per person for room, meals, and tips. The professional organization appropriate $125 of the $500 fee as annual dues to be deposited in the treasury of the national office. Determine the number of registrants necessary for the organization to recover the fixed cost of $20,000.

Answer: 250 persons

1 個解答

評分
  • andrew
    Lv 7
    6 年 前
    最佳解答

    Out of the $500 charged per person, the organization deposits $125 andthe hotel charges $295.

    Amount per person for the organization to recover the fixed cost of $20000

    = $(500 - 125 - $295)

    = $80

    Number of registrants necessary for the organization to recover the fixed costof $20000

    = 20000/80

    = 250

    2013-11-26 17:48:30 補充:

    Amendment :

    In above, "$(500 - 125 - $295)" should be "$(500 - 125 - 295)".

    2013-11-26 17:49:36 補充:

    Alternative method :

    Let n be the number of registrants required.

    (500 - 125 - 295)n = 20000

    80n = 20000

    n = 250

    Hence, number of registrants required = 250

    資料來源: andrew, andrew
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