$($Annuity payments$)$ Ford Motor Company's current incentives include $3\mathrm{.}3$ percent APR financing for $36$ months or $$1,400$ cash back on a Mustang. Let's assume Suzie Student wants to buy the premium Mustang convertible, which costs $$21,000,$ and she has no down payment other than the cash back from Ford. If she chooses the $$1,400$ cash back, Suzie can borrow from the VTech Credit Union at $5\mathrm{.}3$ percent APR for $36$ months $($Suzie$\text{'}$s credit isn't as good as Prof. Finance$).$ What will Suzie Student's monthly payment be under each option? Which option should she choose?

a$.$ If Suzie chooses $3\mathrm{.}3$ percent APR financing for $36$ months to buy the premium Mustang convertible, which costs $$21,000=$ PMT $(34\mathrm{.}230624),$ what will her monthly payment be$?$

$ $($Round to the nearest cent.$)$

b$.$ If Suzie chooses $$1,400$ cash back to buy the premium Mustang convertible and borrows $$19,600$ from the VTech Credit Union at $5\mathrm{.}3$ percent APR for $36$ months, how much will her monthly payment be$?$

$ $($Round to the nearest cent.$)$

c$.$ Which option should Suzie Student choose? $($Select the best choice below.$)$

A$.$ Choose low interest rate financing because the monthly payment under this option is lower.

B$.$ Choose cash back financing because the monthly payment under this option is lower.