Kyoto Joe, Incorporated, sells earnings forecasts for Japanese securities$.$ Its credit terms are $2/20,$ net $40.$ Based on experience, $70$ 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 and round your answer to $2$ deceimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ If the company sells $1,530$ forecasts every month at a price of $$1,310$ 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$.,32\mathrm{.}16.)$