Charming Paper Company sells to the $12$ accounts listed here.

$\backslash$table$[[,\backslash$table$[[$Receivable$],[$Balance$],[$Outstanding$]],\backslash$table$[[$Average Age of the$],[$Account Over the$],[$Last Year$]]],[$Account$,$$$69,500,21],[$A$,205,000,43],[$B$,78,900,11],[$C$,20,500,59],[$D$,56,400,43],[$E$,301,000,35],[$F$,38,900,22],[$G$,333,000,68],[$H$,44,500,34],[$I$,98,300,50],[$J$,292,000,17],[$K$,68,500,37],[$L$,,]]$

Capital Financial Corporation will lend $90$ percent against account balances that have averaged $30$ days or less, $80$ percent for account balances between $31$ and $40$ days, and $70$ percent for account balances between $41$ and $45$ days. Customers that take over $45$ days to pay their bills are not considered acceptable accounts for a loan.

The current prime rate is $9\mathrm{.}50$ percent, and Capital charges $4\mathrm{.}50$ percent over prime to Charming as its annual loan rate.

a$.$ Determine the maximum loan for which Charming Paper Company could qualify.

Maximum loan amount

b$.$ Determine how much one month's interest expense would be on the loan balance determined in part a$.$

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.

Interest expense