Total Revenue and Price Change Quiz

Total revenue is the amount a seller earns from selling a good or service. It is calculated by multiplying the price per unit by the total quantity sold. For example, selling 100 units at $5 each generates $500 in total revenue. Understanding how total revenue changes when price changes is the foundation of the total revenue relationship and a key concept in price elasticity of demand analysis.

Whether total revenue rises or falls when price increases depends on how responsive consumers are to the price change. If demand is elastic, consumers reduce purchases significantly when price rises, causing total revenue to fall. If demand is inelastic, consumers barely reduce purchases, so total revenue rises. The relationship between price changes and total revenue is not automatic and depends entirely on the price elasticity of demand for that good.

Original total revenue is $10 multiplied by 200, which equals $2,000. New total revenue is $12 multiplied by 140, which equals $1,680. Total revenue fell by $320, meaning the loss from selling fewer copies outweighed the gain from the higher price. This outcome indicates elastic demand, where the percentage drop in quantity demanded exceeded the percentage rise in price, causing total revenue to decline.

Original total revenue is $4 multiplied by 80, which equals $320. New total revenue is $3 multiplied by 130, which equals $390. Total revenue increased by $70. The large gain from selling more cups more than offset the lower price per cup. This result indicates elastic demand: the percentage increase in quantity sold was proportionally greater than the percentage decrease in price, causing total revenue to rise with a price cut.

Total revenue and price do not always move in the same direction. Their relationship depends on the price elasticity of demand. For elastic demand, price and total revenue move in opposite directions: a price increase lowers total revenue, and a price cut raises it. For inelastic demand, they move in the same direction. The elasticity of demand is the determining factor in how price changes translate into total revenue changes.

The connection between price changes and total revenue is determined by the price elasticity of demand. When demand is elastic, a price increase reduces total revenue because the drop in quantity sold is proportionally larger. When demand is inelastic, a price increase raises total revenue because the quantity drop is proportionally smaller. Understanding this relationship is central to how sellers make pricing decisions to maximize revenue.

The relationship between price and total revenue is governed by demand elasticity. Elastic demand means consumers are highly price-responsive, so a price increase causes a proportionally larger drop in quantity, reducing total revenue. Inelastic demand means consumers are less responsive, so a price increase raises total revenue. Cutting prices when demand is elastic boosts total revenue by attracting a proportionally larger increase in quantity sold.

Original total revenue is $9 multiplied by 500,000, which equals $4,500,000. New total revenue is $11 multiplied by 430,000, which equals $4,730,000. Total revenue increased by $230,000 despite fewer subscribers, indicating that demand is inelastic: the percentage drop in subscribers was proportionally smaller than the percentage rise in price, so the higher price per subscriber lifted overall revenue.

This is the standard definition of elastic demand. When consumers respond strongly to price changes, the percentage shift in quantity demanded exceeds the percentage change in price, producing an elasticity value greater than 1. In the context of total revenue, this means price and revenue move in opposite directions for elastic goods, making this definition directly relevant to understanding when price changes increase or decrease a seller's total revenue.

When demand is inelastic and price falls, total revenue declines. The 5% price reduction lowers revenue per unit, while the 2% quantity increase adds only a small amount back. Because the quantity gain is proportionally smaller than the price cut, the net effect is a fall in total revenue. This is a key implication of inelastic demand: cutting prices does not generate enough additional volume to compensate for the lower price per unit.

When demand is elastic, lowering the price increases total revenue because the proportional gain in quantity sold exceeds the proportional loss from the lower price. Each price reduction attracts a large increase in buyers, more than compensating for the smaller earnings per unit. This strategy is widely used by businesses in competitive markets with many substitutes, where consumers are highly sensitive to price differences between competing sellers.

Price elasticity of demand is the core concept underlying total revenue analysis. It quantifies how much consumer purchasing behavior changes in response to a price adjustment. When demand is highly elastic, consumers respond dramatically to even small price changes. When demand is inelastic, consumer purchasing is relatively stable despite price changes. These differences in consumer responsiveness directly determine whether a price change raises or lowers total revenue for the seller.

Original total revenue is $15 multiplied by 60, which equals $900. New total revenue is $18 multiplied by 55, which equals $990. Total revenue increased by $90, indicating that demand is inelastic. The small drop in orders (5 fewer) was outweighed by the higher price per dish. Because the proportional quantity decline was smaller than the proportional price increase, the restaurant earns more total revenue despite selling fewer dishes.

Total revenue behavior depends on demand elasticity. For inelastic demand, price increases raise total revenue because the proportional quantity drop is smaller than the price rise. For elastic demand, price cuts raise total revenue because the proportional quantity gain exceeds the price reduction. Cutting prices when demand is inelastic reduces total revenue because the quantity gain is too small to offset the lower price per unit. The third option is incorrect since a price increase with elastic demand reduces total revenue.

When total revenue falls after a price increase, it reveals that demand is elastic. This means the percentage drop in quantity demanded was greater than the 10% price increase. The revenue lost from selling fewer units outweighed the extra earnings from the higher price. Recognizing this outcome as evidence of elastic demand is one of the core applications of the total revenue relationship in real-world pricing analysis.