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【OG20-P284-354题】
A company makes and sells two products, P and Q. The costs per unit of making and selling P and Q are $8.00 and $9.50, respectively, and the selling prices per unit of P and Q are $10.00 and $13.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000.00?
(1) During the month, more units of P than units of Q were sold.
(2) During the month, at least 100 units of Q were sold.
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分析A选项
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分析B选项
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分析C选项
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分析D选项
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分析E选项
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一件P的利润是10-8=2；一件Q的利润是13-9.5=3.5
P+Q=834，那么总利润=2P+3.5Q=2x834+1.5Q=1668+1.5Q
条件1：P>Q，那么Q<417,具体数值不清楚，不充分
条件2：Q≥100，也不能得到1668+1.5Q是否超过2000，不充分
结合：Q的数值还是不能确定，不充分
题目讨论 （3条评论）
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499685skw
条件1，P>Q，如果P=833，Q=1，那么一定小于2000；如果P=418，Q=416，profit则大于2000，所以不充分。条件2，Q》100，如果Q=100，P=734，profit小于2000；Q越大，profit约有可能大于2000，不充分。两个条件结合，中间的range太大了，还是不能确定，不充分。
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2022-10-03 23:14:40
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冲他丫的
xing 8
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2021-10-17 16:04:14
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11
Let number of units of P sold = p number of units of Q sold = q Total number of units sold ,p+q= 834 is 2p + 3.5 q > 2000 ? 1. p> q If p = 834 then 2p = 1668 < 2000 If p = 418 , q = 416 2* 418 + 416 * 3.5 , which will be greater than 2000 Insufficient 2. q=100 100 * 3.5 + 734* 2 <2000 If q= 834 834*3.5 > 2000 Combining Still insufficient Answer E
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2017-11-19 05:44:09
