Miyagi Data, Inc., 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? $($Do not round intermediate calculations and

round your answer to $2$ decimal places, $32\mathrm{.}16.)$

b$.$ If the company sells $1,300$ forecasts every month at a price of $$2,400$ 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$.,32\mathrm{.}16.)$