Based on this year's costs, a factory budgets P dollars for planing N new cars next year. If the average cost of building each car were to increase 50% from this year's cost, then the greatest number of cars that the factory could build next year using P dollars would be:
Choose the correct choice from the following:
A) 33% less than N
B) 67% less than N
C) Equal to N
D) 33% greater than N
E) 67% greater than N
Correct answer is (A).   This year, the price of a car is price1=P/N.   If this price increases by 50% it becomes Price2=P/N*1.5   Then with P dollars, you can build P/Price2 cars i.e. P/(P/N*1.5) i.e. N/1.5 i.e. 0.67*N   Which is 33% less than N.
<result>A</result>
Based on this year's costs, a factory budgets P dollars for planing N new cars next year. If the average cost of building each car were to increase 50% from this year's cost, then the greatest number of cars that the factory could build next year using P dollars would be: