- The cross-price elasticity of demand for printers with respect to the price of ink cartridges is -0.6. The price elasticity of demand for printers is -1.2. If the price of ink cartridges rises by 20%, what must happen to the price of printers for the quantity of printers sold to remain unchanged?
Answer: The price of printers must decrease by 10%.
This is a two-step problem. First, calculate the impact of the ink cartridge price increase on printer demand. The change in quantity demanded for printers is XED (%ΔPrice_ink) = -0.6 20% = -12%. This means the demand for printers will fall by 12%. To keep the final quantity sold unchanged, the price of printers must change to generate an offsetting +12% change in quantity demanded. We use the price elasticity of demand for printers: PED = (%ΔQ_printers) / (%ΔP_printers). We need %ΔQ_printers to be +12%. So, -1.2 = +12% / (%ΔP_printers). Solving for %ΔP_printers gives +12% / -1.2 = -10%. The price of printers must decrease by 10%.
- A smartphone manufacturer observes that when consumer incomes increase by 8%, demand for their basic model decreases by 4%, while demand for their premium model increases by 12%. If the company's revenue split is currently 60% basic models and 40% premium models, and both models have the same profit margin per unit, which strategic pricing decision would be most beneficial during an economic expansion?
Answer: Focus marketing and production capacity on premium models since they are luxury goods with higher income elasticity and will experience stronger demand growth
Income elasticity for basic model = -4%/8% = -0.5 (inferior good), premium model = 12%/8% = 1.5 (luxury good). During economic expansion with rising incomes, demand for basic models will decline while premium model demand will grow strongly. Choice B correctly identifies focusing on premium models as the best strategy since they're luxury goods with high income elasticity. Choice A confuses income elasticity with price elasticity. Choice C correctly identifies basic models as inferior but suggests reducing production without considering the opportunity to shift resources to premium models. Choice D ignores the different income elasticities and their implications.
- Based on the information in the passage, which of the following statements is correct?
Answer: Smartphones are a luxury good, and the two brands are substitutes.
From statement 1, the income elasticity of demand is YED = (%ΔQ) / (%ΔI) = +6% / +3% = +2.0. Since YED > 1, smartphones are a luxury good (a type of normal good). From statement 2, the cross-price elasticity of demand is XED = (%ΔQ_our_phone) / (%ΔP_competitor) = +15% / +10% = +1.5. Since XED > 0, the two brands are substitutes. Therefore, smartphones are a luxury good and the brands are substitutes.
- A local bakery lowers the price of its cupcakes from $4.00 to $3.60. As a result, its weekly sales of coffee, priced at $3.00, increase from 500 cups to 530 cups. Using the midpoint method, the cross-price elasticity of demand for coffee with respect to the price of cupcakes is approximately:
Answer: -0.55
The midpoint formula for cross-price elasticity is (ΔQA/avg QA)/(ΔPB/avg PB). Here, A is coffee and B is cupcakes. ΔPcupcake=3.60−4.00=−0.40. The average price is (4.00+3.60)/2=3.80. So, %ΔPcupcake=−0.40/3.80≈−10.53%. For coffee, ΔQcoffee=530−500=30. The average quantity is (500+530)/2=515. So, %ΔQcoffee=30/515≈+5.83%. The cross-price elasticity is 5.83%/−10.53%≈−0.55. The negative sign indicates the goods are complements. - A luxury hotel chain observes that when the price of economy hotel rooms in the same market increases by 15%, the demand for their luxury rooms increases by 9%. However, when the price of vacation rentals (Airbnb-style accommodations) increases by 12%, the demand for their luxury rooms increases by only 3%. What can be concluded about the relationship between these accommodations?
Answer: Economy hotels are closer substitutes for luxury hotels than vacation rentals are, with cross-price elasticities of 0.6 and 0.25 respectively
Cross-price elasticity of demand measures how responsive the quantity demanded of one good is to price changes in another good. For luxury hotels vs. economy hotels: (9%/15%) = 0.6. For luxury hotels vs. vacation rentals: (3%/12%) = 0.25. Since both are positive, these are substitute goods. The higher cross-price elasticity (0.6) indicates economy hotels are closer substitutes for luxury hotels than vacation rentals are. Choice B reverses the elasticity values. Choice C incorrectly identifies them as complements (complements would have negative cross-price elasticity). Choice D confuses cross-price elasticity with own-price elasticity.
- A consulting firm estimates that for a particular brand of instant coffee, the income elasticity of demand is -0.4 and the cross-price elasticity of demand with respect to fresh-brewed coffee is +0.8. Which of the following marketing strategies would be most effective for the company based on this information?
Answer: Focusing promotional efforts during periods of economic downturn or stagnant wage growth.
An income elasticity of -0.4 means the instant coffee is an inferior good; demand for it increases as consumer income falls. Therefore, the product will sell better during economic downturns. The positive cross-price elasticity of +0.8 indicates it is a substitute for fresh-brewed coffee, not a complement. Targeting high-income consumers is inconsistent with the good being inferior. Subsidizing a substitute good would decrease demand for the firm's own product.
- The cross-price elasticity of demand between product A and product B is +1.5. The income elasticity of demand for product A is -0.5. A widespread economic recession leads to a 4% decrease in average consumer income. Simultaneously, due to a supply chain disruption, the price of product B increases by 6%. What is the expected net percentage change in the quantity demanded for product A?
Answer: An increase of 11.0%
This problem requires calculating two separate effects and summing them. First, the income effect: YED = -0.5 and %ΔIncome = -4%. The change in quantity demanded due to income is (-0.5) (-4%) = +2.0%. Second, the cross-price effect: XED = +1.5 and %ΔPrice_B = +6%. The change in quantity demanded due to the price change of the substitute good is (+1.5) (+6%) = +9.0%. The total net effect is the sum of these two effects: 2.0% + 9.0% = +11.0%.
- An economist studying housing markets finds that when household income rises by 10%, the demand for apartments increases by 5%, while demand for single-family homes increases by 15%. Additionally, when apartment rents increase by 8%, the demand for single-family homes increases by 4%. What can be concluded about the income and cross-price elasticities in this market?
Answer: Both conclusions in choices A and B are correct; apartments and homes are substitutes, with apartments being necessity goods and homes being luxury goods
Income elasticity calculations: apartments = 5%/10% = 0.5, homes = 15%/10% = 1.5. Cross-price elasticity = 4%/8% = 0.5. Since income elasticities are positive, both are normal goods. Since apartments' elasticity < 1, they're necessities; since homes' elasticity > 1, they're luxuries. The positive cross-price elasticity indicates they're substitutes. Both the substitute relationship (choice A) and the necessity/luxury classification (choice B) are correct. Choice D is incorrect because cross-price elasticity can be calculated in either direction (though the values may differ).
- Based on the elasticity data provided in the passage, if the airline wants to maximize revenue during a recession when consumer incomes are falling, which pricing strategy would be most effective?
Answer: Focus on economy class with competitive pricing and reduce business class capacity, since economy class is less affected by income declines
When you encounter elasticity problems involving multiple market segments during economic downturns, focus on how income changes affect each segment differently and consider operational flexibility.
During a recession, falling incomes will significantly reduce business class demand since it has a high income elasticity of +2.1 (luxury good), meaning a 1% income drop causes a 2.1% demand decrease. Economy class, with an income elasticity of +0.6 (normal good), experiences much smaller demand reductions. The cross-price elasticities (+0.3 and +0.1) confirm these are substitute goods, but the substitution effects are relatively weak.
Option D correctly recognizes that economy class becomes the primary revenue driver during recessions. Competitive economy pricing maintains volume in the more stable segment, while reducing business class capacity cuts costs on the segment experiencing severe demand decline.
Option A misinterprets income elasticity as price sensitivity - high income elasticity means business demand is very sensitive to income changes, not price changes. Price cuts can't offset the income-driven demand collapse effectively.
Option B ignores that raising economy prices during a recession when that segment is your most stable revenue source would drive away price-conscious customers who are your primary remaining market.
Option C fails to recognize that equal price increases would disproportionately hurt the economy segment that's keeping the airline viable, while the business segment is already suffering from income effects.
Remember: during economic downturns, focus your strategy on the market segment with lower income elasticity - it's your most reliable revenue source when incomes fall.
- If the income elasticity of demand for a product is +0.7, what is the most likely effect of a 10% increase in average consumer income?
Answer: The quantity demanded will increase by 7%, and the product's share of the average consumer's budget will decrease.
An income elasticity of +0.7 means the good is a normal good (a necessity). A 10% increase in income will lead to a 0.7×10%=7% increase in quantity demanded. Because the quantity demanded (and thus expenditure, assuming constant price) increases by a smaller percentage than income, the proportion of income spent on this good will fall. For the budget share to increase, the income elasticity would need to be greater than 1 (a luxury good). - Market research provides the following income elasticity of demand estimates for three goods: Good X: +1.8, Good Y: -0.4, Good Z: +0.5. If a country enters a period of sustained, strong economic growth, what is the likely impact on the total revenue of firms selling each of these goods, assuming prices remain constant?
Answer: Revenue will increase for X and Z, but decrease for Y.
Economic growth means incomes are rising. If price is constant, revenue changes are driven by quantity changes. Good X (YED = +1.8) is a luxury normal good. Good Z (YED = +0.5) is a necessity normal good. For both, as income rises, quantity demanded rises, so revenue increases. Good Y (YED = -0.4) is an inferior good. As income rises, quantity demanded falls, so revenue decreases. Therefore, revenues increase for firms selling X and Z and decrease for firms selling Y.
- A ride-sharing company analyzes demand patterns and finds that the cross-price elasticity of demand between their premium service and standard service is -0.8, while the cross-price elasticity between their standard service and public transportation is +1.2. If the company increases the price of their premium service by 20%, what is the expected net effect on total ride-sharing revenue?
Answer: The net effect is ambiguous without knowing the price elasticity of demand for each service and their relative revenue contributions
The negative cross-price elasticity (-0.8) between premium and standard services indicates they are complements within the company's offerings. A 20% price increase in premium service will reduce standard service demand by 16% (20% × 0.8). However, to determine the net revenue effect, we need: (1) the own-price elasticity of premium service to know how its quantity changes, (2) the relative revenues from each service, and (3) potentially the price elasticity of standard service. Choice A makes unsupported assumptions about elasticity. Choice B correctly identifies the complement relationship but draws wrong conclusions. Choice D assumes perfect offsetting without justification.
- The price elasticity of supply for a product is 0.8. If a new technology lowers the marginal cost of production for all possible output levels, what will be the effect on the supply curve and the price elasticity of supply at any given price?
Answer: The supply curve will shift right, and the elasticity of supply will become more elastic (increase).
A technology that lowers marginal cost makes production more profitable at any given price, shifting the supply curve to the right. Additionally, the new technology typically makes it easier and less costly for firms to increase output when prices rise, making supply more responsive to price changes. At any given price level, firms can now produce more quantity, and they can more readily adjust that quantity in response to price changes. This makes the price elasticity of supply more elastic (higher in absolute value).
- The price of wheat, an input for bread, falls by 15%. Simultaneously, the price of jam, a complement to bread, rises by 10%. The cross-price elasticity of demand for bread with respect to jam is -0.3. What is the expected net effect on the bread market?
Answer: The supply curve for bread shifts right, and the demand curve for bread shifts left.
When analyzing simultaneous shifts in supply and demand, you need to examine each effect separately and then combine them to determine the net market impact.
Let's break down each effect on the bread market. First, wheat is an input for bread production. When wheat prices fall by 15%, production costs decrease, making it more profitable for producers to supply bread at any given price. This causes the supply curve to shift right (outward), representing an increase in supply.
Second, jam is a complement to bread, meaning they're consumed together. When jam prices rise by 10% and the cross-price elasticity is -0.3, we can calculate the effect on bread demand: a 10% increase in jam price leads to a 10%×(−0.3)=−3% change in bread quantity demanded. Since this is negative, bread demand decreases, shifting the demand curve left (inward).
Therefore, the correct answer is D: supply shifts right (due to lower input costs) and demand shifts left (due to higher complement prices).
Option A incorrectly suggests supply shifts left - this would only happen if input costs increased. Option B incorrectly shows demand shifting right - this would occur if complement prices decreased, not increased. Option C combines the wrong supply shift with the wrong demand shift, misunderstanding both the input cost effect and complement relationship.
Study tip: Always separate simultaneous market effects into individual components first. Input cost changes affect supply curves, while complement/substitute price changes affect demand curves through cross-price elasticity calculations. - A grocery chain analyzes purchase data and finds that when the price of brand-name cereal increases by 15%, sales of store-brand cereal increase by 12%, while sales of oatmeal increase by only 3%. However, when milk prices increase by 20%, sales of both brand-name and store-brand cereals decrease by 8% each. What do these cross-price elasticities suggest about consumer substitution patterns?
Answer: Store-brand cereal is a closer substitute for brand-name cereal than oatmeal is, and all cereals are complements to milk with equal sensitivity
When analyzing consumer behavior, cross-price elasticity of demand reveals whether goods are substitutes (positive elasticity) or complements (negative elasticity). The magnitude tells you how strong the relationship is.
Let's calculate the cross-price elasticities from this data. When brand-name cereal prices rise 15%, store-brand cereal sales increase 12%, giving a cross-price elasticity of +0.8 (12%/15%). For oatmeal, it's +0.2 (3%/15%). Both positive values confirm these are substitutes for brand-name cereal, but store-brand is much closer (0.8 vs 0.2). When milk prices rise 20%, both cereal types fall 8%, yielding identical cross-price elasticities of -0.4 (8%/20%), confirming cereals and milk are complements with equal sensitivity.
Choice A correctly identifies the substitute relationships and elasticity values but fails to mention the complementary relationship with milk. Choice B correctly notes the identical complement relationship with milk but ignores the substitute analysis between cereals. Choice C misinterprets the data entirely—the decrease in cereal demand when milk prices rise indicates complementarity, not that cereal is an inferior good (which relates to income changes, not cross-price effects). Choice D captures both key insights: store-brand cereal is a closer substitute for brand-name than oatmeal, and all cereals show equal complementarity with milk.
Study tip: Always calculate the actual cross-price elasticity values (% change in quantity of good A / % change in price of good B) and remember that positive means substitutes, negative means complements, and larger absolute values mean stronger relationships.
- Two firms, Alpha and Beta, sell the only two brands of a particular product. The cross-price elasticity of demand for Alpha's product with respect to Beta's price is +2.5. Alpha's marketing department is considering a 10% price reduction. What is the most direct and significant risk to Alpha's sales volume from this action?
Answer: Beta may retaliate by also cutting its price, shifting demand away from Alpha.
This question tests your understanding of oligopoly behavior and strategic interaction between firms, particularly how competitors respond to price changes when products are close substitutes.
The cross-price elasticity of +2.5 tells you that Alpha's and Beta's products are substitutes — when Beta's price rises 1%, demand for Alpha's product increases 2.5%. This strong positive relationship means the firms are direct competitors, and each firm's pricing decisions significantly affect the other's sales.
When Alpha cuts its price by 10%, it hopes to steal market share from Beta. However, the most significant risk is that Beta will retaliate with its own price cut. Since the products are close substitutes (evidenced by the high cross-price elasticity), Beta cannot afford to lose customers to Alpha's lower price. Beta's retaliatory price cut would shift demand back toward Beta's product, potentially leaving Alpha worse off than before — with lower prices but no net gain in market share.
Looking at the wrong answers: (A) focuses on production costs rather than the strategic competitive response, which is the primary concern here. (B) misinterprets the situation — we're told about cross-price elasticity, not own-price elasticity, so we can't conclude Alpha's demand is inelastic. (C) addresses quality perception, but this is less immediate and significant than the direct competitive response from Beta.
Study tip: In oligopoly questions, always consider how competitors will react to a firm's strategic moves. When you see high cross-price elasticities, expect fierce competitive responses to any pricing strategy.
- A firm sells a product with an income elasticity of demand of +2.5. The firm's CEO expects a major economic expansion over the next five years. Which of the following represents the most significant strategic challenge the firm is likely to face as a result?
Answer: Scaling up production capacity and supply chains to meet a rapid and sustained increase in demand.
An income elasticity of +2.5 indicates the product is a luxury good with demand that is highly sensitive to income changes. During a major economic expansion, consumer incomes will rise, leading to a more-than-proportional increase in the quantity demanded for this product. A significant strategic challenge in this scenario is ensuring that production, logistics, and supply chains can handle this rapid growth without experiencing stock-outs, quality control issues, or other operational failures.
- Which of the following scenarios is most likely to be associated with a perfectly inelastic price elasticity of supply in the short term?
Answer: A farmer's market selling fresh-picked strawberries at the end of the day.
Price elasticity of supply measures how responsive the quantity supplied is to changes in price. When supply is perfectly inelastic, producers cannot change their quantity supplied at all, regardless of price changes - the supply curve is vertical.
The farmer's market scenario (D) represents perfectly inelastic supply because at the end of the day, the farmer has a fixed quantity of fresh strawberries that cannot be increased. These are perishable goods that were picked earlier, and no additional strawberries can be produced or obtained in the short term. Whether prices rise or fall, the farmer can only sell what they brought to market that day.
Option A is incorrect because a software company can instantly produce more digital downloads with virtually no additional cost - this represents highly elastic supply. Option B is wrong because the T-shirt shop can quickly order more blank shirts and increase production, making supply relatively elastic in the short term. Option C is incorrect because an auto manufacturer with excess capacity can ramp up production when prices increase, indicating elastic supply.
The key distinction is between goods that can be quickly produced or obtained versus those that are fixed in quantity. Fresh produce at day's end, concert tickets after they're printed, or rental apartments in a specific building all represent situations where supply cannot respond to price changes in the short run.
Remember: perfectly inelastic supply occurs when producers literally cannot increase quantity supplied, often due to time constraints, perishability, or fixed capacity that cannot be expanded quickly.
- A city observes that when it raises the price of public bus fares, total revenue from the bus system increases. During the same period, they observe that revenue for the city's primary taxi service also increases. What can be concluded about the demand for these two services?
Answer: Bus travel and taxi service are substitutes, and the demand for bus travel is price-inelastic.
When the price of bus fares rises and total revenue increases, it indicates that the demand for bus travel is price-inelastic. The price increase for bus travel leads to an increase in revenue for the taxi service. This suggests that the demand curve for taxis has shifted to the right. A rightward shift in demand for one good when the price of another good rises means the two goods are substitutes. The information provided does not allow for a conclusion about the price elasticity of demand for taxi service or whether the goods are normal or inferior.
- A luxury car dealership notices that when gasoline prices rise by 30%, sales of their fuel-efficient hybrid models increase by 12%, while sales of their high-performance sports cars decrease by 18%. Additionally, when local household incomes rise by 15%, hybrid sales increase by 9% and sports car sales increase by 24%. What can be concluded about the elasticity relationships for these vehicle types?
Answer: Sports cars are luxury goods with higher income and gasoline price sensitivity, while hybrids are normal necessity goods that serve as substitutes for gasoline consumption
Income elasticities: hybrids = 9%/15% = 0.6 (normal good, necessity since <1), sports cars = 24%/15% = 1.6 (luxury good since >1). Cross-price elasticities with gasoline: hybrids = 12%/30% = 0.4 (substitutes - higher gas prices increase hybrid demand), sports cars = -18%/30% = -0.6 (complements - higher gas prices decrease sports car demand, likely due to high fuel consumption). Choice C correctly identifies all relationships. Choice A misses the necessity/luxury distinction and ignores gas price effects. Choice B has correct classifications but doesn't explain the economic logic. Choice D confuses cross-price elasticity with income elasticity in defining inferior goods.
