Budgeted Cash Collections

In an effort to improve cash collection, Suburban Medical Clinic offers terms of $2/10,\frac{n}{30},$ 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: Apri $$200,000$; May, $$240,000$; and June, $$290,000.$ Historically, Suburban has had the following patient collection patterns:

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