As a courtesy, the Stratton County Parks Department $($the Department$)$ bills school districts that use the parks. The table below is the operating budget for the Nature tours at the Stratton Valley Golf Course. Individuals pay for tours the day they go on them. School District $1$ pays $50\%$ of the amount billed the month after receiving the bill and pays the remainder two months after receiving the bill. School District $2$ pays $50\%$ the month it is billed, $50\%$ one month after receiving a bill. Prepare a cash collections budget for the Nature Tour Operations for the month of June.

Nature Tours Operating Budget April May June

Families $$145$ $$175$ $$200$

School District $1$ $$170$ $$120$ $$185$

School District $2$ $$125$ $$115$ $$175$

Total Tour Revenue $$440$ $$410$ $$560$