2. The official currency of the Kingdom of Mathemagiclandistanis Shrute-bucks. Shrute-bucks bills come in denominations of 3 and5.
a.) What is the smallest amount of Shrute-bucks, n that can bemade using Shrute-buck bills so that every amount greater than orequal to n can also be made using Shrute-buck bills?
b.) Use either the principle of mathematical induction or stronginduction to prove your answer from a.)