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Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinPricing Productsand ServicesAppendix ACopyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-2Learning Objective 1Compute the profit-maximizing price of a product or service using the price elasticity of demands and variable cost.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-3The Economists Approach to PricingElasticity of DemandThe price elasticity of demand measures the degree to which the unit sales of a product or service is affected by a change in price. ChangeinPriceversusChangein UnitSalesCopyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-4Price Elasticity of DemandDemand for a product is inelastic if a change in price has little effect on the number of units sold.ExampleThe demand for designer perfumes sold at cosmetic counters in department stores is relatively inelastic.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-5Price Elasticity of DemandDemand for a product is elastic if a change in price has a substantial effect on the number of units sold.ExampleThe demand for gasoline is relatively elastic because if a gas station raises its price, unit sales will drop as customers seek lower prices elsewhere.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-6Price Elasticity of DemandAs a manager, you should set higher (lower) markups over cost when demand is inelastic (elastic)Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-7Price Elasticity of Demandd = ln(1 + % change in quantity sold)ln(1 + % change in price)Natural log functionPrice elasticity of demandCopyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-8Price Elasticity of DemandSuppose the managers of Natures Garden believe that every 10 percent increase in the selling price of its apple-almond shampoo will result in a 15 percent decrease in the number of bottles of shampoo sold. Lets calculate the price elasticity of demand. For its strawberry glycerin soap, managers of Natures Garden believe that the company will experience a 20 percent decrease in unit sales if its price is increased by 10 percent.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-9Price Elasticity of Demandd = ln(1 + % change in quantity sold)ln(1 + % change in price)d = ln(1 + (-0.15)ln(1 + (0.10)d = ln(0.85)ln(1.10) = -1.71For Natures Garden apple-almond shampoo.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-10Price Elasticity of Demandd = ln(1 + % change in quantity sold)ln(1 + % change in price)d = ln(1 + (-0.20)ln(1 + (0.10)d = ln(0.80)ln(1.10) = -2.34For Natures Garden strawberry glycerin soap.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-11Price Elasticity of DemandThe price elasticity of demand for the strawberry glycerin soap is larger, in absolute value, than the apple-almond shampoo. This indicates that the demand for strawberry glycerin soap is more elastic than the demand for apple-almond shampoo.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-12The Profit-Maximizing Price-1Profit-maximizingmarkup onvariable cost 1 + d=Under certain conditions, the profit-maximizing price can be determined using the following formula:Using the markup above is equivalent to setting the selling price using the following formula:Profit-maximizingprice Variable cost per unit=1 + -11 + dCopyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-13The Profit-Maximizing PriceLets determine the profit-maximizing price for the apple-almond shampoo sold by Natures Garden. The shampoo has a variable cost per unit of $2.00. Price elasticity of demand = -1.71Profit-maximizingmarkupon variable cost-1.71-1.71 +1 - 1= 1.41 or 141%Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-14The Profit-Maximizing PriceNow lets turn to the profit-maximizing price for the strawberry glycerin soap sold by Natures Garden. The soap has a variable cost per unit of $0.40. Price elasticity of demand = -2.34Profit-maximizingmarkupon variable cost-2.34-2.34 +1 - 1= 0.75 or 75%Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-15The Profit-Maximizing PriceThe 75 percent markup for the strawberry glycerin soap is lower than the 141 percent markup for the apple-almond shampoo. This is because the demand for strawberry glycerin soap is more elastic than the demand for apple-almond shampoo.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-16The Profit-Maximizing PriceThis graph depicts how the profit-maximizing markup is generally affected by how sensitive unit sales are to price.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-17The Profit-Maximizing PriceNatures Garden is currently selling 200,000 bars of strawberry glycerin soap per year at the price of $0.60 a bar. If the change in price has no effect on the companys fixed costs or on other products, lets determine the effect on contribution margin of increasing the price by 10 percent. Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-18The Profit-Maximizing PriceContribution margin will increase by $1,600.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-19Learning Objective 2Compute the selling price of a product using the absorption costing approach.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-20The Absorption Costing ApproachUnder the absorption approach to cost-plus pricing, the cost base is the absorption costing unit product cost rather than the variable cost.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-21Setting a Target Selling PriceHere is information provided by the management of Ritter Company.Assuming Ritter will produce and sell 10,000 units of the new product, and that Ritter typically uses a 50 percent markup percentage, lets determine the unit product cost.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-22Setting a Target Selling PriceRitter has a policy of marking up unit product costs by 50 percent. Lets calculate the target selling price.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-23Setting a Target Selling PriceRitter would establish a target selling price to cover selling, general, and administrative expenses and contribute to profit $30 per unit.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-24Determining the Markup PercentageMarkup %on absorptioncost(Required ROI Investment) + SG&A expensesUnit sales Unit product cost=The markup percentage can be based on an industry “rule of thumb,” company tradition, or it can be explicitly calculated. The equation to calculate the markup percentage is:Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-25Determining the Markup PercentageLets assume that Ritter must invest $100,000 in the product and market 10,000 units of product each year. The company requires a 20 percent ROI on all investments. Lets determine Ritters markup percentage on absorption cost.Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-26Determining the Markup PercentageMarkup %on absorptioncost(20% $100,000) + ($2 10,000 + $60,000)10,000 $20=Total fixed SG&AVariable SG&A per unitMarkup %on absorptioncost= ($20,000 + $80,000)$200,000 = 50%Copyright 2008, The McGraw-Hill Companies, Inc.McGraw-Hill/IrwinA-27Problems with the Absorption Costing ApproachThe absorption costing approach assumes that customers need the forecasted unit sales and will pay whatever price the company decides to charge.

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