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Practice solving problems related to demand elasticity and total revenue, analyzing the impact of price changes on quantity demanded and total revenue. Explore the concepts through calculations and graphs to enhance comprehension.
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Demand Elasticity Work on the ½ sheet of problems at door. Have out HW & Test Corrections to be collected.
Warm Up Problems • P1 $100 P2 $125 • Q1 10 Q2 8 • P1 $64 P2 $32 • P1 $80 P2 $120 • Q1 50 Q2 150 • Q1 16 Q2 20 Answer: +25% Answer: -20% Answer: -50% Answer: +50% Answer: +200% Answer: +25%
Warm Up Problems Answer: Price decreases 33% Quantity increases 50% %ΔQD > %ΔP = Elastic Ed = 1.5 Answer: Price increases 33% Quantity decreases 10% %ΔP > %ΔQD = Inelastic Ed = 0.30
Elasticity and Total Revenue • We have seen that OPEC increased its revenues in the 1970s by restricting supply and pushing up the market price of crude oil. We also argued that a similar strategy by OBEC would probably fail. Why?
Total Revenue • We can now use the more formal definition of elasticity to make more precise our argument of why OPEC would succeed and OBEC would fail. In any market, P × Q is total revenue (TR) received by producers: • TOTAL REVENUE = PRICE ×QUANTITY • TR = P ×Q • Because total revenue is the product of P and Q, whether TR rises or falls in response to a price increase depends on which is bigger (the percentage increase in price or the percentage decrease in quantity demanded).
Testing Total Revenue × = $50 $100 ↓50% ↑300% %ΔQD > %ΔP = Elastic; Decreasing Price will = Increase TR
Testing Total Revenue $30,000 $33,750 ↑125% ↓50% %ΔP > %ΔQD = Inelastic; Increasing Price will = Increase TR
Testing Total Revenue $432 $360 ↑25% ↓33% %ΔQD > %ΔP = Elastic; Increasing Price will = Decrease TR
Testing Total Revenue $1440 $1200 ↓33% ↑25% %ΔP > %ΔQD = Inelastic; Decreasing Price will = Decrease TR
Total Revenue Rules Inelastic TR ↑ Inelastic TR ↓ Elastic TR ↑ Elastic TR ↓