$1.$ Petite Martinique Ltd$.$ Had sales of A in March and B in April. Forecast sales for May, June and July are C$,$ D and E$,$ respectively. The firm has a cash balance of $$2,000$ on May $1$ and wishes to maintain a minimum cash balance of $$5,000.$ Given the following data, prepare and interpret a cash budget for the months of May, June and July.

$1)$ The firm makes $17\%$ of sales for cash, $57\%$ are collected in the next month, and the remaining $26\%$ are collected in the second month following sale.

$2)$ The firm receives other income of $$2,000$ per month

$3)$ The firm$$s actual or expected purchases, all made for cash, are F$,$ G and H for the months of May through July, respectively.

$4)$ Rent is $$2,700$ per month

$5)$ Wages and salaries are $8\%$ of the previous month$$s sales

$6)$ Cash dividends of $$3,200$ will be paid in June.

$7)$ Payment of principal and interest of $$3,500$ is due in June

$8)$ A cash purchase of equipment costing $$5,900$ is scheduled in July.

$9)$ Taxes of $$6,400$ are due in June.