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

Account

Receivable Balance Outstanding

Average Age of the Account over the Last Year

$$A

$ $60,800$

$22$

$$B

$168,000$

$43$

$$C

$78,300$

$19$

$$D

$24,300$

$55$

$$E

$58,900$

$42$

$$F

$238,000$

$39$

$$G

$30,400$

$16$

$$H

$374,000$

$72$

$$I

$41,400$

$32$

$$J

$96,500$

$58$

$$K

$292,000$

$17$

$$L

$67,700$

$37$

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 $15\mathrm{.}5$ percent, and Capital charges $4\mathrm{.}5$ percent over prime to Charming as its annual loan rate.

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

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