In: Accounting
Aztec Company sells its product for $160 per unit. Its actual and budgeted sales follow.
| Units | Dollars | ||
| April (actual) | 3,500 | $ | 560,000 | 
| May (actual) | 2,000 | 320,000 | |
| June (budgeted) | 5,000 | 800,000 | |
| July (budgeted) | 4,000 | 799,000 | |
| August (budgeted) | 4,100 | 656,000 | |
All sales are on credit. Recent experience shows that 24% of credit
sales is collected in the month of the sale, 46% in the month after
the sale, 25% in the second month after the sale, and 5% proves to
be uncollectible. The product’s purchase price is $110 per unit.
60% of purchases made in a month is paid in that month and the
other 40% is paid in the next month. The company has a policy to
maintain an ending monthly inventory of 23% of the next month’s
unit sales plus a safety stock of 180 units. The April 30 and May
31 actual inventory levels are consistent with this policy. Selling
and administrative expenses for the year are $1,596,000 and are
paid evenly throughout the year in cash. The company’s minimum cash
balance at month-end is $120,000. This minimum is maintained, if
necessary, by borrowing cash from the bank. If the balance exceeds
$120,000, the company repays as much of the loan as it can without
going below the minimum. This type of loan carries an annual 12%
interest rate. On May 31, the loan balance is $34,500, and the
company’s cash balance is $120,000.
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Part (1)
| Calculation of percentage collection | |||||
| Credit sales from | April | May | June | July | August | 
| April | 24% | 46% | 25% | ||
| May | 24% | 46% | 25% | ||
| June | 24% | 46% | 25% | ||
| July | 24% | 46% | |||
| August | 24% | 
Part (2)
| Amount Collected | ||||||
| Credit sales | April | May | June | July | August | |
| April | 560000 | 134400 | 257600 | 140000 | ||
| May | 320000 | 76800 | 147200 | 80000 | ||
| June | 800000 | 192000 | 368000 | 200000 | ||
| July | 799000 | 191760 | 367540 | |||
| August | 656000 | 157440 | ||||
| Total | 134400 | 334400 | 479200 | 639760 | 724980 | 
Part (3)
| Budgeted Ending inventory | ||||
| April | May | June | July | |
| Next month Unit sales | 2000 | 5000 | 4000 | 4100 | 
| Ratio of inventory | 23% | 23% | 23% | 23% | 
| Budgeted base ending inventory | 460 | 1150 | 920 | 943 | 
| Add:Safety stock | 180 | 180 | 180 | 180 | 
| Ending inventory | 640 | 1330 | 1100 | 1123 | 
Part (4)
| Purchase Budget | |||
| May | June | July | |
| Unit sold | 2000 | 5000 | 4000 | 
| Add:Ending inventory | 1330 | 1100 | 1123 | 
| Total units available for sale | 3330 | 6100 | 5123 | 
| Less:Opening invetory | 640 | 1330 | 1100 | 
| Unit to be purchased | 2690 | 4770 | 4023 | 
| Budgeted cost of purchase @ 110/ unit | 295900 | 524700 | 442530 | 
| Opening inventory is the ending inventory of previous month | 
Part (5)
| Cash payment of purchases for June and July | ||||
| Payment for the months | June | July | ||
| May | (295900 x 40%) | 118360 | ||
| June | (524700 x 60%) | 314820 | (524700 x40%) | 209880 | 
| July | (442530 x 60%) | 265518 | ||
| Total | 433180 | Total | 475398 | 
Part (6)
| Cash Budget | |||
| June | July | Total | |
| Opening balance | 120000 | 120000 | 240000 | 
| Cllection from clients | 479200 | 639760 | 1118960 | 
| Total | 599200 | 759760 | 1358960 | 
| Payments | 0 | ||
| Purchases | 433180 | 475398 | 908578 | 
| Selling & Admin expense (1596000 /12 months) | 133000 | 133000 | 266000 | 
| Total payments | 566180 | 608398 | 1174578 | 
| Excess cash in hand (599200-566180) | 33020 | 151362 | 184382 | 
| Borrowing to maintain cash balance of $ 120000 | 0 | ||
| (120000-33020) | 86980 | - | 86980 | 
| Repayment (151362 -120000) | - | 30747.06 | 30747.06 | 
| Interest payment | 615 | 615 | |
| Ending cash balance | 120000 | 120000 | 240000 | 
Working notes
| Lest 'X' be the loan repayment for calculation of interest | 
| 151362- X -0.02X =120000 | 
| 1.02 X =31362 | 
| X=31362/1.02 | 
| X = 30747.06 | 
| Loan schedule | |
| Loan balance opening | 34500 | 
| Add:Loan taken in june | 86980 | 
| Total borrowing | 121480 | 
| Less:Loan repaid | 30747.06 | 
| Laon balance in july | 90732.94 | 
| Interest on repaid amount (30747.06 x 12% for 2 months) | 614.9412 |