Company C sells a line of 20 products with an average retail price of $1,200. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product? Choices:  A) 12000  B) 11000  C) 10000  D) 13000  E) 15000
The average price of 20 products is $1,200 means that the total price of 20 products is 20*1,200=$24,000.   Next, since exactly 10 of the products sell for less than $1,000, then let's make these 10 items to be at $400 each (min possible).   Now, the remaining 9 items cannot be priced less than $1,000, thus the minimum possible price of each of these 9 items is $1,000.   Thus the minimum possible value of 19 products is 10*400+9*1,000=$13,000.   Therefore, the greatest possible selling price of the most expensive product is $24,000-$13,000=$11,000.   Answer: 11000.
<result>B</result>
Company C sells a line of 20 products with an average retail price of $1,200. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?