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Autor: anton 14 April 2011
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The Case Blackheath Manufacturing Company, is a company that manufactures a single product named ÐŽÂ§Great Heath.ÐŽÐ The company recently hired a new cost accountant, Lee High, who intends to conduct a new cost analysis over a period of three production weeks. Lee wanted to better identify the fixed, variable, and semivariable costs associated with production of ÐŽÒGreat Heath.ÐŽÂ¦ Once these costs were categorized Lee could determine how this would effect the cost of goods sold. Lee could then develop what the break even volume that could be generated from a changing volume of sales. The case shows the assumptions that Lee High made with respect to variable as versus fixed costs in determining the cost of goods sold per unit . Lee High was able to develop decision rules for use by the companyÐŽÂ¦s owner for management decisionmaking purposes. Based upon Lee HighÐŽÂ¦s data, Charlton Blackheath, the owner, dictated a management decision that sales could not be less than a $7.00 per unit order. The case then introduces a series of sales possibilities that are accepted or declined based essentially on these decision rules. However, a young file clerk decided to take an underbid proposal at $5.50 for an order of 100 units of ÐŽÒGreat HeathÐŽÂ¦ based upon her own assumption that such a volume order would be profitable. A subsequent salescost report was developed by Lee High showing cost per unit based upon his predetermined analysis of costs and including profit per unit. Data showed the file clerkÐŽÂ¦s order generated a subsequent loss because the price per unit was so low. Based upon this data, Blackheath then fired the clerk for this error and readjusted the per unit price to $8.00 to generate a higher profit. Executive Summary Lee High had made calculations based upon a static volume of sales and production. He was also calculating only the cost of goods sold and did not take into consideration the respective amounts of fixed versus variable costs. While the fixed costs remain constant in total, when the volume of goods produced and sold increases, the amount of fixed cost attributed to each individual unit goes down. Following this logic the variable cost per unit will remain constant on a per unit basis, assuming a constant level of efficiency of production. This leads us to the inevitable conclusion that as production increases, the cost of goods sold will increase overall, but will decrease on a per unit basis. Thus Blackheath can maintain a healthy profit margin, charging a lower price, assuming that the volume increases accordingly. With respect to the situation that has been defined in this case study; we have drawn the following conclusions. Lee HighÐŽÂ¦s decision matrix was fundamentally flawed since he had based everything upon an assumption of 500 units per week sales (p.35), not taking into account the cost fluctuation if production deviates. Lee High also calculated fixed costs incorrectly (p.34) grossly understating them. Mr. Blackheath would lose money in the long run by adopting the new sales strategy of 15% commission for the salesmen who sold Great Heath for a price of $8.00 (p.37). Mr. Blackheath should have promoted, or at least congratulated Adelaide Ladywell on her sales to Maze Woolwich as the added volume increased the Net Profit. Body The primary mistake that Lee High made was assuming that fixed expenses were $781. While the President had given him this figure, he should have reviewed the available cost information and come up with his own calculation of fixed costs. The miscalculation of the $781 of fixed costs also led to errant calculations in the variable cost per unit. We are unable to determine how this figure of $781 was reached, therefore we can best assume this figure was arbitrary. The chart below shows the original costs provided in the case. In this chart we have surmised which costs should be labeled as variable, mixed and fixed. Week
Week 1 Week 2 Week 3 #Units 400 500 600 Direct Materials Variable 300.00 375.00 450.00 Direct Labor* Variable 550.00 625.00 750.00 Indirect Labor Mixed 180.00 200.00 220.00 Indirect Materials Fixed 300.00 300.00 300.00 Electricity Mixed 115.00 125.00 135.00 Factory Insurance Fixed 125.00 125.00 125.00 Other Overhead Mixed 310.00 360.00 410.00 Total 1880.00 2110.00 2390.00 The correct figuring of costs are essential in determining the correct pricing for goods. We noted that the original data provided did not properly account for Direct Labor. We can see this in the change of production unit between week 2 and week 3, which clearly shows that the direct labor change is $1.25 per unit (or a $125 difference between weeks.) Thus, the correct direct labor figure for week 1 should be $500*. From this raw data Lee High created income statements for these three weeks (p.35). Sales Cost of Goods Sold Gross Margin Less: Other Expns Net Income Week 1 2800 1830 970 1061 (91) Week 2 3500 2110 1390 1131 259 Week 3 4200 2390 1810 1201 609 These income statements were how Lee High fashioned his decision rules to implement in the pricing of ÐŽÒGreat Heath.ÐŽÂ¦ Unfortunately for Lee, he did not take into consideration all of the expenses when he figured his per unit cost. As best as we can determine, Lee utilized the ÐŽÒHighLowÐŽÂ¦ method when he was calculating his costs. Lee took only the change of cost of goods sold between week 1 and week 3 into consideration when figuring his variable costs. He also relied upon his president for fixed administration costs of $781. Lee omitted the ÐŽÒother expenses,ÐŽÂ¦ a crucial error in his overall cost calculations. His cost analysis is below: Variable cost per unit = Ñ“Ò‘Cost/Ñ“Ò‘Activity or 560/200=2.8 And Fixed cost per unit = Total Cost ÐŽV Variable Cost Element Or 2390 (Week 3 cost of goods sold) ÐŽV (2.8 X 600) = $710/500 Units = 1.42 *500 Units of production was the arbitrary average Lee assigned in calculations. Fixed admin and selling costs = $781/500 = $1.56 Added commission costs to sales force @ 7.00 X 10% = $.70 Added amount for conflict in figures = $.12 Break even per unit cost = $6.60 The decision rules that Lee created were based upon this $6.60 break even point figure. However, his failure to include the ÐŽÂ§other expensesÐŽÐ missed the mixed and fixed costs that were included in that amount. Our model takes all expenses into consideration. Total expenses for the 3 weeks can be determined as follow, Week 1= $2891, Week 2=$3241, and Week 3=$3591. All of the expenses help us to see what were the actual costs utilized in production. The difference in net income helped us to determine, that as income rose each week, there was a difference of $350. This assists us in determining what the variable costs per unit were. Because production rose each week 100 units between weeks 1 to 2 and 2 to 3, we can determine from this that variable cost will increase on a per unit basis of $3.50. The cost analysis method through which we determined our results utilized the ÐŽÒleastsquares regression method.ÐŽÂ¦ Through linear regression we have determined that the fixed costs are $1,491.00, and confirmed variable costs are $3.50 per unit. We plotted our regression points for our graph by determining the total expenses for # of units produced by week in the income statement produced by Lee High: Week 1= 400 units/$2891 total expenses Week 2= 500 units/$3241 total expenses Week 3= 600 units/$3591 total expenses At zero units produced we can determine through linear regression that our fixed costs are $1491. Y=3.5x+1491, R2 = 1.00 ÐŽÂ§The R2 varies from 0% to 100%, and the higher the percentage, the better,ÐŽÐ according to our text (Garrison/Noreen p. 211.) The R2 in our graph is a perfect 1.0, thus we believe the cost structure and method of cost analysis is the more accurate then Lee HighÐŽÂ¦s analysis (HighLow Method.) Once the variable and fixed costs have been accurately defined, this helps us to determine accurate breakeven points. ÐŽÂ§Once breakeven point has been reached, net income will increase by the unit contribution margin for each additional unit sold.ÐŽÐ (Garrison/Noreen p.236) Finding what the breakeven points are in relation to volume produced versus pricing, permit us to have a more aggressive sales decision rule. Assuming production capacity costs remain constant we can create a competitive sales decision rule that will allow us to accept sales orders for a lower contribution margin, of course, within reason. It should also be noted, that as the numbers of units are increased, the fixed cost will go down as this cost is spread across more units. Using the new calculations we have calculated the breakeven price as well as the price to achieve a desired profit of $1,000. Break Even Sales Price by Unit Sales Desired Profit Sales 100 $18.41 $28.41 200 $10.96 $15.96 300 $8.47 $11.80 400 $7.23 $9.73 500 $6.48 $8.48 600 $5.99 $7.65 700 $5.63 $7.06 800 $5.36 $6.61 In the followingcost profit volume analysis graph or breakeven chart, the volume unit/price shows the range of break evenpoints. There are a couple of breakeven computations that the text utilizes in calculation. This can be calculated either by the Equation Method or the Contribution Margin Method (Garrison/Noreen p. 24446.) The Equation Method: Sales = Variable expenses + Fixed expenses + Profits $8.00Q = $3.50Q + $1491 + 0 $4.50Q = $1491 Q = 331.33 Units of ÐŽÒGreat HealthÐŽÂ¦ Or 331.33 Bottles X $8.00 = $2650.66 The Contribution Margin Method, like the equation method can be defined in units sold or as in total sales dollars: Fixed Expenses = $ 1491 = 331.33 Breakeven Units Unit Contribution Margin $4.50 Or Fixed Expenses = $ 1491 = $2650.66 Breakeven total sales CM Ratio .5625 BreakEven Points Price Per Unit $8 Per Unit $7 Per Unit $6 Per Unit $5 Per Unit BreakEven Units 331 426 596 994 BreakEven Sales $2650 $2982 $3576 $4970 These calculations are based upon the assumption that the ratio of sales made by the salesmen on the road and those made by the office sales staff remain constant. If the ratio fluctuates then the numbers would need to be adjusted to compensate for the added or reduced commissions paid. The sales that were accepted as a result of LeeÐŽÂ¦s decision matrix actually caused Blackheath to lose money. There was a loss of $26.00, which he had blamed on Ms. LadywellÐŽÂ¦s sale. In fact, had they not used LeeÐŽÂ¦s matrix and accepted all of the sales, Blackheath would have show a profit of $812 rather than a loss of $26 as explained in the summary below. ** Insert Chart Here ** This leads us to Mr. BlackheathÐŽÂ¦s idea of a new commission structure for the salesmen that would offer a 15% commission on sales at a price of $8.00. While on the surface this would seem logical, that you would make a higher profit margin by raising the price and producing fewer units, this doesnÐŽÂ¦t take into account the increased costs generated by the lower volume. Since there are fewer units being produced and sold, fixed costs will increase on a per unit basis, which would eat into any added revenue gained by the higher price. If we assume that Mr. BlackheathÐŽÂ¦s volume predictions are correct then we have the following result: 350 Units at a price of $8.00 per unit, with 15% commission Sales = $2,800.00 Costs = $2,891.00 Net = $91.00 450 units at a price of $7.00 per unit, with a 10% commission Sales = $3,150.00 Costs = $3,066.00 Net = $84.00 When the commission is increased to 15% the variable cost is increased by $0.50 ($0.70 to $1.20). The new rules would end up costing the company $175. Conclusion Lee HighÐŽÂ¦s decision matrix was flawed and should never have been adopted. In the end Blackheath lost out on valuable sales that could have increased the overall volume and profit. Mr. BlackheathÐŽÂ¦s new commission structure, giving the salesmen a 15% commission on sales of $8.00 per unit at a lower volume would end up costing the company an average of $175 and should not be implemented. And finally, Adelaide Ladywell did the right thing by accepting the order of 100 units for a price of $5.50. The added volume reduced the fixed costs per unit and generated added revenue. She should have been commended and not fired. Bibliography Garrrison, R., and Noreen, E., (2003). Managerial Accounting. McGrawHill/Irwin. Get Better Grades TodayJoin Essays24.com and get instant access to over 60,000+ Papers and Essays 
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