$2.$ A company offers its salespeople a bonus of $$500$ per quarter for $3$ years. To win a

bonus, a salesperson must have sold at least $$1$ million worth of the company$$s products

in the period January $1$ through December $31,$ and the first bonus payment is made at

the end of the first quarter following. The company funds each bonus on December $31$

by a lump$-$sum deposit in a bank account that pays $8$ percent compounded quarterly,

and the bank sends out the bonus checks; a$)$ What total sum is received by each bonus

winner? b$)$ How much does it cost the company to fund each bonus?