Becky$$s comprehensive major medical health insurance plan at work has a deductible of $$450.$ The policy pays $85$ percent of any amount above the deductible. While on a hiking trip, Becky contracted a rare bacterial disease. Her medical costs for treatment, including medicines, tests, and an eight$-$day hospital stay, totaled $$9,113.$ A friend told her that she would have paid less if she had a policy with a stop$-$loss feature that capped her out$-$of$-$pocket expenses at $$4,100.$

a$.$ Calculate the total amount Becky would pay under the current policy. $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

Becky's co$-$insurance cost:

Deductible:

Total Personal Cost

b$.$ Would a $$4,100$ p$-$loss provision on her current policy have reduced Becky's cost for this illness?