A firm predicts that 10% of its sales will never be collected, 40% will be collected in the month of the sale, and 50% will be collected in the month after the sale. Purchases each month equal 75% of predicted sales for the next month. Purchases will be paid in the month after the purchase. The firm predicts the following.

January February March April

Sales ($) 250 320 280 260

The firm's beginning cash balance in March is $151. Cash disbursements in March, not including payments of accounts, is $129. Find the predicted cash balance at the end of March.