Miyagi Data, Inc., sells earnings forecasts for Japanese securities$.$ Its credit terms are $2/30,$ net $50.$ Based on experience, $80$ percent of all customers will take the discount.

a$.$ What is the average collection period? $($Do not round intermediate calculations and round your answer to $2$ decimal places, $32\mathrm{.}16.)$

b$.$ If the company sells $1,390$ forecasts every month at a price of $$2,490$ each, what is its average daily balance sheet amount in accounts receivable? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$