You need $$8000$ for school and has two options.

Option A: $7$ years at $5\%$ interest with monthly payments of $$113\mathrm{.}07$

Option B: $8$ years at $4\mathrm{.}5\%$ interest with monthly payments of $$99\mathrm{.}39$

Calculate the total payback on each loan and calculate how much you will save by choosing option A$.($Section $2\mathrm{.}14)$

$($a$)$ Total paybacks of option A and option B