# 微積分應用題目

A bus company has adopt the following pricing policy for groups that wish to charter its buses. Group containing no more than 40 peopel will be charged a fixed amount of \$2400(40 times \$60).In groups containing between 40 and 80 people, everyone will pay \$60 minus 50cents for each person in excess of 40. The company's lowest fare of \$40 per person will be offered to groups that have 80 members or more . Express the bus company's revenue as a function of the size of the group.

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### 1 個解答

• 最佳解答

Lets x be the number of people,

x <= 40

Revenue = \$2400

40 < x < 80

Revenue = (60 - (0.05 * (x - 40))) * x

example: if x=50, Revenue = (60 - (0.05 * (50-40))) * 50 = \$2975

x >= 80

Revenue = 40x

example: if x=100, Revenue = 40 * 100 = \$4000

2007-10-19 04:45:49 補充：

我看錯了.... 0.05 --> 0.5

40 < x < 80

Revenue = (60 - (0.50 * (x - 40))) * x

example: if x=50, Revenue = (60 - (0.50 * (50-40))) * 50 = \$2750

2007-10-19 04:50:47 補充：

少於40人, 定格 = \$2400

40-80人有折扣. 大家將支付\$60 - \$0.50

example:

41人, 每人60-0.5*(41-40) = 59.5

42人 = 每人 60-0.5*(42-40) = 60 - 1 = 59

.

.

因此 x人 = 每人 60- (0.5 * (x -40))

超過80, 每人 \$40

2007-10-21 14:14:45 補充：

Group containing (no more than 40 peopel)=(少於40人) will be (charged a fixed amount of \$2400) = (定格 = \$2400)

2007-10-21 14:14:55 補充：

In groups containing between (40 and 80 people)=(40-80人), (everyone will pay)=(每人將支付) (\$60 minus 50cents)=(\$60-\$0.5) for (each person in excess of 40)=(當超過40人).

The company's lowest fare of (\$40 per person)=(每人 \$40) will be offered to groups that (have 80 members or more)=(超過80人) .