Determine the amount of sales (units) that would be necessary under
Break-Even Sales Under Present and Proposed Conditions
Darby Company, operating at full capacity, sold 82,350 units at a price of $72 per unit during the current year. Its income statement for the current year is as follows:
Sales | $5,929,200 | ||
Cost of goods sold | 2,928,000 | ||
Gross profit | $3,001,200 | ||
Expenses: | |||
Selling expenses | $1,464,000 | ||
Administrative expenses | 1,464,000 | ||
Total expenses | 2,928,000 | ||
Income from operations | $73,200 |
The division of costs between fixed and variable is as follows:
Variable | Fixed | |||
Cost of goods sold | 70% | 30% | ||
Selling expenses | 75% | 25% | ||
Administrative expenses | 50% | 50% |
Management is considering a plant expansion program that will permit an increase of $504,000 in yearly sales. The expansion will increase fixed costs by $50,400, but will not affect the relationship between sales and variable costs.
Required:
1. Determine the total variable costs and the total fixed costs for the current year. Enter the final answers rounded to the nearest dollar.
Total variable costs | $ |
Total fixed costs | $ |
2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year. Enter the final answers rounded to two decimal places.
Unit variable cost | $ |
Unit contribution margin | $ |
3. Compute the break-even sales (units) for the
current year. Enter the final answers rounded to the nearest whole
number.
units
4. Compute the break-even sales (units) under
the proposed program for the following year. Enter the final
answers rounded to the nearest whole number.
units
5. Determine the amount of sales (units) that
would be necessary under the proposed program to realize the
$73,200 of income from operations that was earned in the current
year. Enter the final answers rounded to the nearest whole
number.
units
6. Determine the maximum income from operations
possible with the expanded plant. Enter the final answer rounded to
the nearest dollar.
$
7. If the proposal is accepted and sales remain
at the current level, what will the income or loss from operations
be for the following year? Enter the final answer rounded to the
nearest dollar.
$ Income
Part B:
Cash Budget
The controller of Bridgeport Housewares Inc. instructs you to prepare a monthly cash budget for the next three months. You are presented with the following budget information:
September | October | November | ||||
Sales | $110,000 | $140,000 | $177,000 | |||
Manufacturing costs | 46,000 | 60,000 | 64,000 | |||
Selling and administrative expenses | 39,000 | 42,000 | 67,000 | |||
Capital expenditures | _ | _ | 42,000 |
The company expects to sell about 10% of its merchandise for cash. Of sales on account, 70% are expected to be collected in the month following the sale and the remainder the following month (second month following sale). Depreciation, insurance, and property tax expense represent $10,000 of the estimated monthly manufacturing costs. The annual insurance premium is paid in January, and the annual property taxes are paid in December. Of the remainder of the manufacturing costs, 80% are expected to be paid in the month in which they are incurred and the balance in the following month.
Current assets as of September 1 include cash of $42,000, marketable securities of $59,000, and accounts receivable of $122,400 ($96,000 from July sales and $26,400 from August sales). Sales on account for July and August were $88,000 and $96,000, respectively. Current liabilities as of September 1 include $10,000 of accounts payable incurred in August for manufacturing costs. All selling and administrative expenses are paid in cash in the period they are incurred. An estimated income tax payment of $17,000 will be made in October. Bridgeport’s regular quarterly dividend of $10,000 is expected to be declared in October and paid in November. Management desires to maintain a minimum cash balance of $41,000.
Required:
1. Prepare a monthly cash budget and supporting schedules for September, October, and November. Input all amounts as positive values except overall cash decrease and deficiency which should be indicated with a minus sign. Assume 360 days per year for interest calculations.
Bridgeport Housewares Inc. | |||
Cash Budget | |||
For the Three Months Ending November 30 | |||
September | October | November | |
Estimated cash receipts from: | |||
$ | $ | $ | |
Total cash receipts | $ | $ | $ |
Less estimated cash payments for: | |||
$ | $ | $ | |
Other purposes: | |||
Total cash payments | $ | $ | $ |
$ | $ | $ | |
Cash balance at end of month | $ | $ | $ |
Excess or (deficiency) | $ | $ | $ |
Post Part B separately.
Req 1. | |||
Allocation of fixed and variable cost: | |||
Fixed | Variable | Total Cost | |
Cost of goods sold | 2049600 | 878400 | 2928000 |
Selling expense | 1098000 | 366000 | 1464000 |
Admin expense | 732000 | 732000 | 1464000 |
Total cost | 3879600 | 1976400 | |
Req 2. | |||
Total Variable cost | 1976400 | ||
Divide: Number of units | 82350 | ||
Variable cost per unit | 24.00 | ||
Selling price per unit | 72 | ||
Contribution margin per unit | 48.00 | ||
Req 3. | |||
Fixed cost | 3879600 | ||
Divide: Contribution margin per unit | 48 | ||
Break even sales units | 80825 | units | |
Req 4. | |||
Revised fixed cost (3879600+50400) | 3930000 | ||
Divide: CM per unit | 48 | ||
Break even units | 102840.24 | units | |
Req 5. | |||
Fixed cost | 3930000 | ||
Add: target income | 73200 | ||
Target contribution required | 4003200 | ||
Divide: Cm per unit | 48 | ||
target sales units | 83400 | Units | |
Req 6. | |||
Increase in sales units (504000/72) | 7000 | ||
Sales (89350 units @72) | 6433200 | ||
Less: Variable cost (89350*24) | 2144400 | ||
Contribution | 4288800 | ||
Less: Fixed cost | 3930000 | ||
Net income | 358800 | ||
Req 7. | |||
when the sales remain at current level, the loss of additional fixed cost of $ 118800 occurs. | |||
Therefore, | |||
Current income from operations | 73200 | ||
Less: Additional fixed cost | 50400 | ||
Net income | 22800 |
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