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# 生管的產能計算問題

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Q1:An automobile transmission assembly plant normally operates one shift per day five days per week. During each shift, 400 transmissions can be completed. Over the next four weeks, the plant has planned

shipments according to the following schedule：

Week 1 2 3 4

Shipments 18001700 2000 2100

a. What is the plant’s theoretical capacity？

b. At what percentage of capacity is the plant actually operating？

Q2:The roller coaster at an amusement park consists of 15 cars, each

of which can carry up to three passengers. If each run takes 1.5

minutes and the time to unload and load riders is 3.5 minutes, what

is the maximum capacity of the system in number of passengers per

hour？Would the actual capacity equal that value？Explain.

### 2 Answers

- AshleyLv 71 decade agoFavorite Answer
Q1:An automobile transmission assembly plant normally operates one shift per day five days per week.

1 ：汽車變速器裝配廠正常營運，一星期 5 天每天輪班。

During each shift, 400 transmissions can be completed.

在每次的輪班， 400 個變速器就可以完成。

Over the next four weeks, the plant has planned shipments according to the following schedule：

在接下來的四個星期內，該工廠出貨量已計劃按照時間安排如下：

Week Shipments

週次 出貨量

1 1800

2 1700

3 2000

4 2100

a. What is the plant's theoretical capacity？

工廠的理論產能是多少？400 * 5 = 2000

b. At what percentage of capacity is the plant actually operating？

工廠實際運作產能百分比是多少？7600 / 8000 = 95％

Q2:The roller coaster at an amusement park consists of 15 cars,

問題2 ：在雲霄飛車遊樂場包括 15 輛車，

each of which can carry up to three passengers.

其中每一輛最多可以搭載三名乘客。

If each run takes 1.5 minutes and the time to unload and load riders is 3.5 minutes,

如果每次運行需要 1.5 分鐘而載人和下車時間為 3.5 分鐘，

what is the maximum capacity of the system in number of passengers per hour？

系統的每小時最大乘載量是多少？60 /(1.5 + 3.5) * 3 * 15 = 12 * 45 = 6 * 90 = 540

Would the actual capacity equal that value？Explain.

實際乘載量會和值相等嗎？解釋。

不會，因為不見得都剛好三人行，情侶可能喜歡兩個人坐一車，

認識的人通常會想坐在一起，不想和不認識的坐在一起，

所以沒坐滿也是正常的；

有些人不喜歡排隊，大家排隊時間也可能不一樣，

可能會有尖峰時間和離峰時間（如吃飯時間）。

Source(s): 個人的學習經驗