Total Revenue Test Elasticity Quiz

The Total Revenue Test is a practical method for identifying the price elasticity of demand by examining what happens to total revenue when price changes. If total revenue and price move in opposite directions, demand is elastic. If they move in the same direction, demand is inelastic. If total revenue stays the same after a price change, demand is unitary elastic. This test translates abstract elasticity values into observable revenue outcomes.

This is the core finding of the Total Revenue Test for elastic demand. When price rises and total revenue falls, it means the percentage drop in quantity demanded exceeded the percentage rise in price. The revenue lost from the large quantity reduction outweighs the extra earnings per unit from the higher price. This outcome, a price increase paired with a total revenue decrease, is the definitive signal that demand is elastic.

Original total revenue is $50 multiplied by 10,000, which equals $500,000. New total revenue is $60 multiplied by 9,200, which equals $552,000. Total revenue increased after the price rise. According to the Total Revenue Test, when price and total revenue move in the same direction (both up), demand is inelastic. The small quantity drop of 800 bottles was insufficient to offset the higher revenue per bottle.

Original total revenue is $6 multiplied by 300, which equals $1,800. New total revenue is $5 multiplied by 310, which equals $1,550. Total revenue fell after the price cut. The Total Revenue Test shows that when total revenue falls after a price decrease, demand is inelastic. The modest gain of 10 extra loaves was not enough to compensate for the lower price per loaf, confirming that consumers were not very responsive to the price change.

Unitary elastic demand exists when the price elasticity of demand equals exactly 1, meaning the percentage change in quantity demanded exactly equals the percentage change in price. In this case, the revenue gained or lost from the price change is perfectly offset by the quantity change, leaving total revenue unchanged. The Total Revenue Test identifies this as unitary elasticity whenever no change in total revenue is observed following a price adjustment.

Original total revenue is $30 multiplied by 500, which equals $15,000. New total revenue is $36 multiplied by 430, which equals $15,480. Total revenue rose after the price increase. The Total Revenue Test confirms inelastic demand: price and total revenue moved in the same direction (both increased). The drop of 70 memberships produced a smaller proportional revenue loss than the revenue gained from the $6 higher monthly fee per remaining member.

The Total Revenue Test has three clear outcomes linked to the three elasticity classifications. When price and total revenue move together in the same direction, demand is inelastic. When they move in opposite directions, demand is elastic. When total revenue stays the same regardless of the price change, demand is unitary elastic. The fourth statement is incorrect: when price falls and total revenue also falls, that indicates inelastic demand, not elastic demand.

When total revenue remains identical after a price change, the Total Revenue Test identifies demand as unitary elastic. This means the percentage change in quantity demanded exactly offset the percentage change in price, keeping total revenue constant. Unitary elasticity represents the precise dividing line between elastic and inelastic demand and is the only condition under which a price change leaves total revenue completely unchanged.

The Total Revenue Test provides an intuitive and accessible method for determining whether demand is elastic, inelastic, or unitary elastic simply by observing the direction of total revenue change following a price adjustment. Sellers and analysts can apply this method using basic revenue data without needing to compute precise elasticity ratios. It is widely used as a practical decision-making tool in pricing strategy and market analysis across many industries.

When price and total revenue both rise, the Total Revenue Test identifies demand as inelastic. The 12% price increase caused only a modest reduction in water consumption, not enough to prevent total revenue from rising. Water, as a daily necessity with no meaningful substitutes, typically has inelastic demand. Consumers cannot substantially reduce their water use when prices rise, which is why the utility collected more total revenue despite the higher rate.

The Total Revenue Test clearly identifies elastic demand whenever total revenue falls after a price increase. A 20% price rise caused total revenue to drop by 15%, meaning the quantity of handbags sold fell by a proportionally larger amount than the price increase. Even though these are luxury items with high prices, consumers were willing to reduce purchases significantly when prices rose, confirming that demand is elastic for this product.

One of the key advantages of the Total Revenue Test is that it requires only revenue data rather than precise elasticity calculations. By simply comparing total revenue before and after a price change, a seller can determine whether demand is elastic, inelastic, or unitary elastic. This accessibility makes the Total Revenue Test a widely taught and practically useful tool that can be applied in real business settings where exact elasticity data may not be readily available.

Original total revenue is $3 multiplied by 2,000, which equals $6,000. New total revenue is $2.50 multiplied by 2,100, which equals $5,250. Total revenue fell after the price cut. The Total Revenue Test reveals inelastic demand: when price falls and total revenue also falls, demand is inelastic. The small increase of 100 bags was far too modest to offset the lower price per bag, confirming that consumers were not very sensitive to this price reduction.

The Total Revenue Test gives three clear classifications. A price increase paired with a total revenue rise identifies inelastic demand (Product X). A price increase paired with a total revenue fall identifies elastic demand (Product Y). A price increase with no total revenue change identifies unitary elastic demand (Product Z). The third option incorrectly labels unchanged revenue after a price increase as perfectly inelastic, which is wrong: unchanged total revenue is the defining outcome of unitary elastic, not perfectly inelastic, demand.

Total revenue fell from $80,000 to $72,000 after the fare increase, confirming elastic demand. The Total Revenue Test reveals that passengers reduced bus use more than proportionally in response to higher fares, suggesting that alternatives such as ride-shares, cycling, or car travel were available and attractive. When demand is elastic, total revenue and price move in opposite directions, and this outcome signals that consumers have meaningful options they can switch to when prices rise.