$($Preparation of a cash budget$)$ Harrison Printing has projected its sales for the first eight months of $2014$ as follows:

Harrison collects $20$percent of its sales in the month of the sale, $50$percent in the month following the sale, and the remaining $30$ percent two months following the sale. During November and December of $2013,$ Harrison's sales were $$220,800$ and $$174,200,$ respectively.

Harrison purchases raw materials two months in advance of its sales equal to $65$ percent of their final sales price. The supplier is paid one month after delivery. Thus, purchases for April sales are made in February and payment is made in March.

In addition, Harrison pays $$10,500$ per month for rent and $$20,600$ each month for other expenditures. Tax prepayments of $$22,500$ are made each quarter beginning in March. The company's cash balance as of December $31,2013,$ was $$22,800$; a minimum balance of $$20,000$ must be maintained at all times to satisfy the firm's bank line of credit agreement. Harrison has arranged with its bank for short$-$term credit at an interest rate of $12$ percent per annum $(1$ percent per month$)$ to be paid monthly. Borrowing to meet estimated monthly cash needs takes place at the end of the month, and interest is not paid until the end of the following month. Consequently, if the firm were to need to borrow $$50,000$ during the month of April, then it would pay $$500($$$50,0000\mathrm{.}12\frac{1}{12})$ in interest during May. Finally, Harrison follows a policy of repaying its outstanding short$-$term debt in any month in which its cash balance exceeds the minimum desired balance of $$20,000.$

a$.$ Harrison needs to know what its cash requirements will be for the next six months so trfat, if necessary, it can renegotiate the terms of its short$-$term credit agreement with its bank. To analyze this problem, the firm plans to evaluate the impact of a $+-20\%$ variation in its monthly sales efforts. Prepare a seven$-$month cash budget for Harrison and use it to evaluate the firm's cash needs. $($Note: You will need to prepare the cash budgets for three scenarios: most likely $($sales given in $),$ worst case $($sales down by $20\%$ hnd best case $($sales up by $20\%).)$

b$.$ Harrison has a $$200,600$ note due in June. Will the firm have sufficient cash to repay the loan?

Complete $($month by month$)$ the cash budget for the most likely case scenario below: $($Round to the nearest doll

$\backslash$table$[[,,$NOV,DEC,,JAN$],[$Sales$,$$$,220,800$$$,174,200,$$$,100,000],[$Cash Receipts$],[$Sales for cash $(20\%),,,,$$$,],[$First month after sales $(50\%),,,,$$$,],[$Second month after sales $(30\%),,,,$$$,],[$Total Cash Receipts,,,,$$,],[$Cash disbursements$],[$Raw materials,,,,$$,],[$Rent$,,,,$$$,],[$Other expenditures,,,,$$,],[$Tax prepayments,,,,$$,],[$Total Cash Disbursements,,,,$$,],[$Net Change in Cash$],[$Net change in cash for period,,,,$$,],[(+)$ Beginning cash balance,,,,$$,],[(-)$ Interest on short$-$term borrowing,,,,$$,],[(-)$ Short$-$term borrowing repayments,,,,$$,],[(=)$ Ending cash balance b$/$ borrowing,,,,$$,],[$New Financing Needed,,,,,$],[$Financing needed for period,,,,$$,],[$Ending cash balance,,$$,22,800,$$$,],[$Cumulative borrowing,,,,$$,]]$