Budgeted Cash Collections

In an effort to improve cash collection, Suburban Medical Clinic offers terms of $\frac{2}{10},\frac{n}{30},$ with a $5\%$ discount on patient payments made with cash. Suburban estimates its total billings for the second calendar quarter of the year as follows: April, $$320,000$; May, $$384,000$; and June, $$464,000.$ Historically, Suburban has had the following patient collection patterns:

$\backslash$table$[[$In month of sale:,$\backslash$table$[[$Portions$],[$of$],[$Total$],[$Sales$]]],[$Cash at time of sale,$25\%$