Cost Volume Profit Essay

Some things we know: The objective of every business is to make money (profit) for the owners Profit = Revenues – Expenses Revenues = Sales = Quantity sold x price per unit Expenses = the costs related to: the specific revenue (COGS) or the specific accounting period Matching Principle Role of Management is: Planning, control and performance measurement, and decision-making Decision-making relates to future events and involves risk Full costing (full-absorption costing) is a good historical tool but may not Be the best indicator of future activity because it is based on past events. Cost Behavior Variable Costs – total dollars change with volume, Cost per unit is constant Fixed Costs – total dollars are constant, cost per unit changes with volume Mixed Costs – include some variable costs and some fixed costs Total Cost = Fixed Costs + Volume(variable cost per unit) Fixed Component Variable Component Purely Fixed $25,000$ 0 Purely Variable 0 5.00 per unit Mixed Costs 10,000 2.00 per unit Total Costs $35,000$7.00 per unit Graphing Total Costs X axis (horizontal/across) = volume Y axis (vertical/up & down) = dollars Estimating the Composition of Mixed Costs Account Analysis Scattergraph – Visual inspection of plotted points High-Low Estimation Theory: The change in total costs between the high volume point and The low volume point, must be purely variable costs Linear Regression (computer assisted scattergraph) Contribution Margin Income Statement Ignores the function of the expenses Focus is on cost behavior (fixed and variable) Used extensively in forecasting future potential outcomes (planning & decision making) Because Profit = Revenue – Expenses(Costs) Where: Revenue = Volume x price per unit AndTotal Costs = Fixed Cost + (Volume x Variable cost per unit) Therefore: Volume x price per unit Less Volume x variable cost per unit Less Fixed costs Profit Revenue Less Variable Costs CONTRIBUTION MARGIN Less Fixed Costs Pretax Profit KNOW THIS FORMULA FRONTWARDS AND BACKWARDS Margin of Safety = the difference between the expected level of volume and the break-even point (normally using sales dollars but could also use units sold). When comparing two or more alternatives it may be helpful to look at the Margin of Safety as a percentage of sales. Contribution Margin Ratio = CM per unit / Selling Price per unit OrContribution Margin / Sales Operating Leverage = Fixed Costs / Contribution Margin Or Contribution Margin/Pretax Profit Cost-Volume-Profit (CVP) Analysis Break-Even Point = the point at which profit = zero (i.e. we break even) = The point at which Contribution Margin = Fixed Costs Once we know the break-even point, we can begin to plan for target profit Target Pre Tax Profit versus Target After Tax Profit Pretax Profit$100 Less Tax Expense 40 After Tax or Net Profit$ 60 Effective Tax Rate = Tax Expense / Pretax Profit(40% above) Tax Expense = Pretax Profit x Effective Tax Rate Net Income = Pretax Profit x (1- effective tax rate) Pretax Profit = Net Profit / (1- effective tax rate) Multiple Product CVP Analysis Weighted-Average Contribution Margin (also referred to as blended average) PRODUCT MIX IS CRITICAL Product 1Product 2Total Units Sold10020 Selling Price$10.00$50.00 Variable Costs 5.00$30.00 Sales$1,000$1,000$2,000 Contribution Margin 500$ 400 900 CM Ratio 50% 40% 45% SO LONG AS THE PRODUCT MIX REMAINS AT 5:1 THE PROJECTED CM RATIO WILL STAY AT 45%. Therefore if sales are expected to be $20,000, AND WE SELL 5 of Product 1 for every 1 unit of Product 2, Contribution Margin should be $9,000 ($20,000 x 45%) However if sales of Product 1 are only $1,000 and the remaining $19,000 are sales of Product 2 the Contribution margin is only $8,100 and the CM Ratio drops to 40.5%. $ 1,000 x 50% = $ 500 plus$19,000 x 40% = $7,600 $20,000 $8,100 = 40.5% of sales or (1/20 x .50) + (19/20 x .40) .025 + .38 = 40.5% When computing the Weighted-Average Contribution Margin USE SALES DOLLARS as the weighing factor (NOT UNITS). Constraint = a limitation of resources To maximize profits given a limited resource, produce the product that generates the highest contribution margin per limited resource. This may not be the product with the highest contribution margin ratio. Illustration: A company manufactured two types of beer, premium and regular. Both types of beer are brewed in the same kettles. A regular batch brews for 15 days and yields 12,000 bottles. A premium batch brews for 30 days and yields 12,000 bottles. Regular beer sells for $1.00 per bottle and has variable costs of $0.40 per bottle. The premium sell for $1.50 per bottle and has variable costs of $0.50 per bottle. Assuming unlimited demand of both products, which product should the company brew? PremiumRegular Per Batch: Sales$15,000$12,000 CM$12,000$ 7,200 CM % 66.67% 60.00% CM per Limited Resource (Days) CM$12,000$ 7,200 Divided by days 30 15 CM per day of limited Resource use $400 $480 Regular beer has a higher CM per limited resource. Therefore, given unlimited demand of both types, produce only regular. Proof: In 30 days we can make one batch of premium, which will yield $12,000 in CM. In the same 30 days we can make 2 batches of regular, which will yield $14,400 in CM. We are in business to make money for the owners, not percentages. You can’t deposit percentages in the bank!