Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 10% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be  Select.
A) 9% less than N
B) 25% less than N
C) equal to N
D) 20% greater than N
E) 25% greater than
Correct answer is (A).   This year, the price of a tree is price1=P/N.   If this price increases by 10% it becomes price2=P/N*1.10   Then with P dollars, you can grow P/price2 tress i.e. P/(P/N*1.10) i.e. N/1.1 i.e. .91%
<result>A</result>
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 10% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be