Essence of Skunk Fragrances, Limited, sells $9,300$ units of its perfume collection each year at a price per unit of $$415.$ All sales are on credit with terms of $\frac{1}{10},$ net $40.$ The discount is taken by $45$ percent of the customers.

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

b$.$ What is the receivables turnover? $($Use $365$ days a year. Do not round intermediate calculations and round your answer to $4$ decimal places, e$.$g$.,32\mathrm{.}1616.)$

c$.$ What is the amount of the company's average receivable? $($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$.$ Receivables turnover,,times$],[$c$.$ Average receivables,,$]]$