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破解数学prep2-52请教!

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楼主
发表于 2009-8-16 10:59:00 | 只看该作者

破解数学prep2-52请教!

52.   4349-!-item-!-187;#058&003856

For Manufacturer M, the cost C of producing x units of its product per month is given by C = kx + t, where C is in dollars and k and t are constants.  Last month, if Manufacturer M produced 1,000 units of its product and sold all the units for k + 60 dollars each, what was Manufacturer M's gross profit on the 1,000 units?

 

(1)  Last month, Manufacturer M's revenue from the sale of the 1,000 units was $150,000.

 

(2)  Manufacturer M's cost of producing 500 units in a month is $45,000 less than its cost of producing 1,000 units in a month.

--------------------------------------------------------------------------------------------------------------------------------------------------------【答案】E

条件(1)中的revenue指什么呢?如何算?

谢谢~

沙发
发表于 2009-8-16 11:26:00 | 只看该作者

cost成本  C = kx + t

revenue收入  (k + 60是一个产品的收入,即 单位收入,1000个的收入是(k+60)×1000) 

profit利润

首先明确  :利润=收入-成本 ,profit=(k+60)×1000- (1000k + t)

条件(1)(k+60)×1000=150000 ,求不出t,不充分

(2)1000k + t-(500k+t)=45000,求不出t,不充分

两条件结合仍然无法得出t的值

故选e

不知道对不对^_^

板凳
 楼主| 发表于 2009-8-16 18:59:00 | 只看该作者
恩,谢谢ls~~破解说revenue=gross profit-expense,说得我糊涂极了
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