A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 5 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?  Choose the correct choice from the following.
A) 51  B) 61  C) 66  D) 71  E) 76
66 bikes.   Got two equations bikes*price = 568 units   (bikes - 5)*(price + 1 ) = 594 units.   factorise 568 = 71 * 8.   use n = 71 and p = 8 in the second , it works.   Hence 66.   ANSWER:66
<result>C</result>
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 5 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?