Kyoto Joe, Incorporated, sells earnings forecasts for Japanese securities$.$ Its credit terms are $\frac{2}{10},$ net $30.$ Based on experience, $65$ percent of all customers will take the discount.

a$.$ What is the average collection period for the company? $($Use $365$ days a year. Do not round intermediate calculations.$)$

b$.$ If the company sells $980$ forecasts every month at a price of $$1,670$ each, what is its average balance sheet amount in accounts receivable? $($Use $365$ days a year. Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[$a$.$ Average collection period,days$],[$b$.$ Average balance,$]]$