Question

In: Accounting

ontribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage Belmain Co. expects to maintain the same...

ontribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage
Belmain Co. expects to maintain the same inventories at the end of 20Y7 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows:
 Estimated
Fixed Cost Estimated Variable Cost
(per unit sold)Production costs:      Direct materials  $17   Direct labor  12   Factory overhead$626,700  9  Selling expenses:      Sales salaries and commissions130,200  4   Advertising44,100      Travel9,800      Miscellaneous selling expense10,800  3  Administrative expenses:      Office and officers' salaries127,300      Supplies15,700  1   Miscellaneous administrative expense14,600  2   Total$979,200  $48  
It is expected that 10,200 units will be sold at a price of $192 a unit. Maximum sales within the relevant range are 13,000 units.
Required:

1.   Prepare an estimated income statement for 20Y7.

Belmain Co.Estimated Income StatementFor the Year Ended December 31, 20Y7 $Cost of goods sold: $  Cost of goods soldGross profit$Expenses:Selling expenses: $   Total selling expenses$Administrative expenses: $  Total administrative expensesTotal expensesIncome from operations$

2.  What is the expected contribution margin ratio? Round to the nearest whole percent.
 %
3.  Determine the break-even sales in units and dollars.
Units unitsDollars units
4.  Construct a cost-volume-profit chart on your own paper. What is the break-even sales?

5.  What is the expected margin of safety in dollars and as a percentage of sales?
Dollars:$ Percentage: (Round to the nearest whole percent.)%
6.  Determine the operating leverage. Round to one decimal place.

Solutions

Expert Solution

As per our policy, we cannot able to post solution more than four sub parts of question.

Answer 1

Belmain Co.

Estimated Income Statement

For the Year Ended December 31, 20Y7

Sales revenue (10200*192)

         1,958,400

Less: Cost of goods sold (17+12+9 = 38) (38*10200=387600) (387600+626700=1014300)

         1,014,300

Gross profit

             944,100

Expenses:

Selling expenses

Sales salaries and commissions (130200 + (4*10200))

         171,000

Advertising

           44,100

Travel

             9,800

Miscellaneous selling expense (10800 + (3*10200))

           41,400

Total selling expenses

             266,300

Administrative expenses

Office and officers' salaries

         127,300

Supplies (15700 + (1*10200))

           25,900

Miscellaneous administrative expense (14600 + (2*10200))

           35,000

Total administrative expenses

             188,200

Total expenses

             454,500

Income from operations

             489,600

Answer 2

Belmain Co.

Contribution margin Income Statement

For the Year Ended December 31, 20Y7

Sales revenue (10200*192)

         1,958,400

Less: variable cost (48*10200)

             489,600

Contribution margin

         1,468,800

Less: Fixed cost

             979,200

Income from operations

             489,600

Contribution margin

         1,468,800

Divided by: Sales revenue

         1,958,400

Contribution margin ratio

75%

Answer 3

Fixed cost

             979,200

Divided by: Contribution margin ratio

75%

Break-even sales in dollars

         1,305,600

Fixed cost

             979,200

Divided by: Contribution margin per unit (192-48)

                     144

Break-even sales in units

                 6,800

Answer 4

Sales in Dollars

         1,958,400

Less: break-even sales in dollars

         1,305,600

Expected margin of safety in dollars

             652,800

Expected margin of safety in % of sales (expected margin of safety in dollars / Sales in Dollars)

33.33%


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