Splish Landscaping Inc. is preparing its budget for the first quarter of $2022.$ The next step is to prepare a cash receipts schedule and a cash payments schedule. The following information has been collected:

Clients usually pay $50\%$ of their fee in the month when the service is provided, $40\%$ the next month, and $10\%$ in the second month after receiving the service.

Prepare the following schedules for each month in the first quarter of $2022$ and for the quarter in total.

$(1)$ Schedule of expected collections from clients.

$(2)$ Schedule of expected payments for landscaping supplies.