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Elasticity & Total Revenue
Chapter 5 completion….
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Linear Demand curves have both elastic
& inelastic ranges Points with high price & low quantity demand is elastic Points with low price & high quantity demand is inelastic
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Linear Demand Curve Elasticity
Price $7 Elastic Range: Elasticity > 1 6 5 Unit Elastic at midpoint of line 4 3 Inelastic Range: Elasticity < 1 2 1 2 4 6 8 10 12 14 Quantity
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Total Revenue Profit = TR – all expenses
Total revenue (TR) is not profit It is the total amount of revenue (money) received by a business TR = Price & Quantity Sold Coffee Shop: Price coffee: $2/cup Qty Sold: per day Total Revenue = $2 X = $1,000 Profit = TR – all expenses
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Total Revenue Price When the price is $4, consumers demand 100 units, and spend $400 on this good. Demand $4 100 P P × Q = $400 ( total revenue) Quantity Q
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Price increases leads to: TR falling in elastic ranges
Total Revenue Price ↑ TR ↑ Price increases leads to: TR rising in inelastic range TR falling in elastic ranges TR reaches maximum value at unit elastic
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Linear Demand Curve Elasticity
Price Price from $4 to $5 => TR from $24 to $20. $7 Elastic Range: Elasticity > 1 6 5 Price from $2 to $3 => TR from $20 to $24 4 3 Inelastic Range: Elasticity < 1 2 1 2 4 6 8 10 12 14 Quantity
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Summary Elastic demand curves are flat
Inelastic demand curves are steep Slope is constant, Elasticity is not Linear demand curves have both inelastic & elastic ranges Total Revenue: Falls when Prices ↑ on elastic goods Rises when Prices ↑ on inelastic goods Firms maximize total revenue by producing at unit elasticity
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Total Revenue & Elasticity Worksheet
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Cross-price elasticity of demand
Change in quantity demanded of one good in response to a change in price of another good Substitutes have positive cross-price elasticity Ea,b > 0 Example: Price soda ↑ => Qty D other drinks ↑ Complements have negative cross-price elasticity Ea,b < 0 Example: Price gas ↑ => Qty D large SUV’s ↓ % ∆ in Pgood-2 % ∆ in Qty Dgood-1 Cross-price elasticity of demand =
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Income Elasticity of Demand
Income elasticity of demand- how much quantity demanded responds to a change in consumers’ income EI = % ∆ in Qty Demanded % ∆ in Income Normal Goods have positive Income elasticity (normal good = Income ↑, Qty D ↑) Inferior Goods: EI < (negative income elasticity) Income elastic: EI > (considered a luxury) Income inelastic: 1 > EI > 0 (considered a necessity)
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Elasticity of Supply Depends on 2 primary factors:
Es > 1 Es < 1 Depends on 2 primary factors: Ability to change quantity produced Beach front property is inelastic Books, cars are elastic Time Period Supply is more elastic in long run vs. short run Time allows companies to produce more
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Practice Test #2
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