成本和管理会计 知识拓展课件(供双语教学使用)

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A-15
The Profit-Maximizing Price
The 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
Example The demand for designer perfumes sold at cosmetic counters in department stores is relatively inelastic.
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
Pricing Products and Services
Appendix A
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-2
Learning Objective 1
Compute the profitmaximizing price of a product or service using the price elasticity of demands and variable
Change
Change
in versus in Unit
Price
Sales
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-4
Price Elasticity of Demand
Demand for a product is inelastic if a change in price has little effect on the number of units sold.
This graph depicts how the profit-maximizing markup is generally affected by how sensitive unit sales are to price.
McGraw-Hill/Irwin
Optimal markup on variable cost
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-13
The Profit-Maximizing Price
Let’s determine the profit-maximizing price for the apple-almond shampoo sold by Nature’s Garden. The shampoo has a variable cost per unit of $2.00.
Variable cost per unit Markup ($0.40 × 75%) Profit-maximizing price
$ 0.40 0.30
$ 0.70
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Copyright © 2008, The McGraw-Hill Companies, Inc.
500% 450% 400% 350% 300% 250% 200% 150% 100%
50% 0%
10%
15% 20% 25% 30% 35% 40% Percent decrease in unit sales due to a 10% increase in price
Price elasticity of demand = -1.71
Profit-maximizing
-1.71
markup =
on variable cost
-1.71 +1
- 1 = 1.41 or 141%
Variable cost per unit $ 2.00
Markup ($2.00 × 141%)
cost.
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-3
The Economist’s Approach to Pricing
Elasticity of Demand
The price elasticity of demand measures the degree to which the unit sales of a product or service is affected by a change in price.
unit sales will drop as customers seek lower prices
elsewhere.
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-6
Price Elasticity of Demand
A-7
Price Elasticity of Demand
Єd =
ln(1 + % change in quantity sold) ln(1 + % change in price)
Price elasticity of demand Natural log function
McGraw-Hill/Irwin
glycerin soap is more elastic than the demand for apple-almond shampoo.
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-16
The Profit-Maximizing Price
price elasticity of demand.
For its strawberry glycerin soap, managers of Nature’s Garden believe that the company will experience a 20 percent decrease in unit sales if its price is increased by 10
percent.
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-9
Price Elasticity of Demand
For Nature’s Garden apple-almond shampoo.
Єd =
ln(1 + % change in quantity sold) ln(1 + % change in price)
indicates that the demand for strawberry glycerin soap is more elastic than the demand
for apple-almond shampoo.
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
For Nature’s Garden strawberry glycerin soap.
Єd =
ln(1 + % change in quantity sold) ln(1 + % change in price)
Єd =
ln(1 + (-0.20)) ln(1 + (0.10))
Єd =
ln(0.80) ln(1.10)
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-8
Price Elasticity of Demand
Suppose the managers of Nature’s Garden believe that every 10 percent increase in the selling price of its applealmond shampoo will result in a 15 percent decrease in the number of bottles of shampoo sold. Let’s calculate the
A-12
The Profit-Maximizing Price
Under certain conditions, the profit-maximizing price can be determined using the following formula:
Profit-maximizing markup on = variable cost
2.82
Profit-maximizing price $ 4.82
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-14
The Profit-Maximizing Price
Now let’s turn to the profit-maximizing price for the strawberry glycerin soap sold by Nature’s Garden.
A-5
Price Elasticity of Demand
Demand for a product is elastic if a change in price has a substantial effect on the number of units sold.
Example The demand for gasoline is relatively elastic because if a gas station raises its price,
-1 1 + Єd
Using the markup above is equivalent to setting the selling price using the following formula:
Profitmaximizing =
price
McGraw-Hill/Irwin
-1 1 + 1 + Єd Variable cost per unit
The soap has a variable cost per unit of $0.40.
Price elasticity of demand = -2.34
Profit-maximizing
-2.34
markup =
on variable cost
-2.34 +1
- 1 = 0.75 or 75%
Єd =
ln(1 + (-0.15)) ln(1 + (0.10))
Єd =
ln(0.85) ln(1.10)
= -1.71
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-10
Price Elasticity of Demand
As a manager, you should set higher (lower) markups over cost when demand is inelastic (elastic)
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
= -2.34
McGraw-Hill/Irwin
Copyright © 2008, The McGraw-Hill Companies, Inc.
A-11
Price Elastiቤተ መጻሕፍቲ ባይዱity of Demand
The price elasticity of demand for the strawberry glycerin soap is larger, in absolute value, than the apple-almond shampoo. This
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