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【OG20-P293-449题】
Last year, a certain company began manufacturing product X and sold every unit of product X that it produced. Last year the company's total expenses for manufacturing product X were equal to $100,000 plus 5 percent of the company's total revenue from all units of product X sold. If the company made a profit on product X last year, did the company sell more than 21,000 units of product X last year?
(1) The company's total revenue from the sale of product X last year was greater than $110,000.
(2) For each unit of product X sold last year, the company's revenue was $5.
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100,000+5%*n*p 问题是要确定n,即:n>100,000/(95%*p)
(1)np=110,000 显然单独不能求出n
(2)p=5 ,带入不等式,可验证结果
第二个条件单独成立,第一个条件单独不成立,所以选B.
题目讨论 (7条评论)

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499685skw
根据题目列出不等式: 100000+5%n*unit price < n*unit price.
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0 回复 2022-09-16 14:06:16
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499685skw回复499685skw
条件1求不出n,条件2可以,所以选B
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0 回复 2022-09-16 14:06:53
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ziqi
把问题用式子表达出来
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0 回复 2022-06-13 16:50:02
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贾思敏
c=100,000+5%*r r=number*price per unit=n*p 所以c=100,000+5%*n*p 问是不是当这个公司盈利的时候,这个公司卖了多于21,000个units呢? 要能够make a profit,就是要使得profit=revenue-cost大于0,也就是r-c要大于0,那么就是在问n*p-(100,000+0.05*n*p)大于0吗? 化简这个n*p-(100,000+0.05*n*p)大于0 也就是n*p-100,000-0.05*n*p大于0, 0.95*n*p-100,000大于0 0.95*n*p大于100,000 也就是在问n会大于100,000/(0.95*p)吗? 条件一:只知道r=110,000,不知道p也是白搭,不充分 条件二:知道p=5,把p=5代入100,000/(0.95*p)后,100,000/(0.95*5)约等于21,053, 也就是n大于21,053也就大于21,000,充分
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0 回复 2021-10-04 23:48:00
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你这只猪
算对,答案点击错误,真的是。。。。。
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1 回复 2020-06-11 14:05:51
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尹鹤
转问题为式子
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0 回复 2019-04-24 16:27:22
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小牛奶milky
plus 不要过度解读
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0 回复 2019-03-28 15:37:50
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Noleo
make a profit说明revenue-expense>0, 又e=100,000+5%*r, 所以有r-(100000+5%*r)>0,所以95%*r>100,000即95%*n(数量)*p(单价)>100,000, 所以n>100,000/(95%*p)
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0 回复 2017-11-09 16:19:51