Cody, an office administrator, is evaluating the following quotation that she received for the purchase of a printer for her office:

Lease Option: Make payments of $$80$ at the beginning of every month for $6$ years. At the end of $6$ years, make the final payment of $$1,250.$

Purchase Option: Make a payment of $$5,350$ immediately.

a$.$ What is the present value of the lease option if money is worth $8\mathrm{.}1\%$ compounded semi$-$annually?

Round to the nearest cent

b$.$ Which option would be economically better

c$.$ What is the present value of the lease option if money is worth $10\mathrm{.}2\%$ compounded semi$-$annually?

Round to the nearest cent

d$.$ Which option would be economically better?