On March $1$ of the current year, Spicer Corporation compiled information to prepare a cash budget for March, April, and May. All of the company$$s sales are made on account. The following information has been provided by Spicer$$s management: Month Credit Sales January $ $300,000($actual$)$ February $400,000($actual$)$ March $447,000($estimated$)$ April $528,000($estimated$)$ May $819,000($estimated$)$ The company$$s collection activity on credit sales historically has been as follows: Collections in the month of the sale $50\%$ Collections one month after the sale $30$ Collections two months after the sale $15$ Uncollectible accounts $5$ Spicer$$s total cash expenditures for March, April, and May have been estimated at $$1,200,000($an average of $$400,000$ per month$).$ Its cash balance on March $1$ of the current year is $$500,000.$ No financing or investing activities are anticipated during the second quarter. Required: Compute Spicer$$s budgeted cash balance at the ends of March, April, and May.