Question: Every hour the U.S. government prints 10,000 more $1 bills, 4000 more $5 bills, 3000 more $10 bills, 2500 more $20 bills, 1000 more $50 bills, and the same number of $100 bills as it did the previous hour. In the initial hour 1000 of each bill were produced.
a) Set up a recurrence relation for the amount of money produced in the nth hour.
b) What are the initial conditions for the recurrence relation in part (a)?
c) Solve the recurrence relation for the amount of money produced in the nth hour.
d) Set up a recurrence relation for the total amount of money produced in the first n hours.
e) Solve the recurrence relation for the total amount of money produced in the first n hours.