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[問題]GWD 4 Q 34

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[問題]GWD 4 Q 34

文章gimmy03 » 2005-06-22 16:09

Q34:
The number n of units of its product that Company X is scheduled to produce in month t of its next fiscal year is given by the formula n = 900/(1+C*2^-t) , where c is a constant and t is a positive integer between 1 and 6, inclusive. What is the number of units of its product that Company X is scheduled to produce in month 6 of its next fiscal year?

(1)Company X is scheduled to produce 180 units of its product in month 1 of its next fiscal year.

(2)Company X is scheduled to produce 300 units of its product in month 2 of its next fiscal year.

Ans: D

Please kindly help! 3Q
gimmy03
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Re: [問題]GWD 4 Q 34

文章hsiaoj » 2005-06-22 18:13

gimmy03 \$m[1]:Q34:
The number n of units of its product that Company X is scheduled to produce in month t of its next fiscal year is given by the formula n = 900/(1+C*2^-t) , where c is a constant and t is a positive integer between 1 and 6, inclusive. What is the number of units of its product that Company X is scheduled to produce in month 6 of its next fiscal year?

(1)Company X is scheduled to produce 180 units of its product in month 1 of its next fiscal year.
(2)Company X is scheduled to produce 300 units of its product in month 2 of its next fiscal year.
Ans: D
Please kindly help! 3Q


(1) n=900/(1+C*2^-t)
n=180, t=1
180=900/(1+C*2^-1) , 5=(1+C*2^-1), 4=C*2^-1, C=8
Because C is constant, the number of units that Company X is scheduled to produce in month 6 is
n=900/(1+8*2^-6), n=900/1+(1/8)=800

(2) n=900/(1+C*2^-t)
n=300, t=2
300=900/(1+C*2^-2), 3=1+C*2^-2, 2=C*2^-2, C=8
The same as (1)

(1) (2) 均有解
答案D
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hsiaoj
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文章Annesft » 2005-06-24 00:00

看了你的解釋,真是恍然大悟...
真是不能偷懶...
優雅的正手拍,犀利的反手拍,連放點小球都很精采!!
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Annesft
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來自: 漂流的北極浮冰

文章gimmy03 » 2005-06-24 16:34

3Q ~ :laugh
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文章chris8888 » 2007-11-13 17:28

本題應該不需要算出, 題目漏漏長, 考試時看完弄懂已經耗掉一些時間

1. 代入公式, 及可求出常數項, 那麼6月就可算出
2. 同上
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