The ACME Corporation determines that at current prices, the demand for its computer chips has a price elasticity of -2 in the short run, while the price elasticity for its disk drives is -1.

a. If the corporation decides to raise the price of both products by 10 percent, what will happen to its sales? To its sales revenue?

b. Can you tell from the available information which product will generate the most revenue? If yes, why? If not, what additional information do you need?

Short Answer

Expert verified
  1. When prices change by 10 percent, it will decrease the demand for chips by 20 percent and for disk by 10 percent. Therefore, the sale and sales revenue will decrease by 30 percent.

  2. We cannot tell which product will generate the most revenue since the prices are unavailable; therefore, additional information about the prices and quantity demanded is needed.

Step by step solution

01

Explanation for part (a)

We know that formula for price elasticity is:

ep=QP

Therefore, the demand for computer chips will get reduced by 20 percent due to 10 percent increase in price, as shown below:

-2=Q10Q=2×10=20

Similarly; the demand for disks will get reduced by 10 percent due to 10 percent increase in price, as shown below:

-1=Q10Q=1×10=10

The fall in demand will result in a fall in sales, and therefore, sales revenue.

The sales revenue for the computer chips will get reduced since the fall in demand is more than the rise in the price. Therefore, fewer units will be sold at a high price, and the revenue will consequently fall.

02

Explanation for part (b)

The elasticities of demand is known, but one needs to know the prices in order to find which product generates the most revenue; therefore, to know which product generates the most revenue, one needs to have additional information.

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Most popular questions from this chapter

Suppose that you are the consultant to an agricultural cooperative that is deciding whether members should cut their production of cotton in half next year. The cooperative wants your advice as to whether this action will increase members’ revenues. Knowing that cotton (C) and soybeans (S) both compete for agricultural land in the South, you estimate the demand for cotton to be C = 3.5 - 1.0PC + 0.25PS + 0.50I, where PC is the price of cotton, PS the price of soybeans, and income. Should you support or oppose the plan? Is there any additional information that would help you to provide a definitive answer?

By observing an individual’s behavior in the situations outlined below, determine the relevant income elasticities of demand for each good (i.e., whether it is normal or inferior). If you cannot determine the income elasticity, what additional information do you need?

a. Bill spends all his income on books and coffee. He finds \(20 while rummaging through a used paperback in at the bookstore. He immediately buys a new hardcover book of poetry.

b. Bill loses \)10 he was going to use to buy a double espresso. He decides to sell his new book at a discount to a friend and use the money to buy coffee.

c. Being bohemian becomes the latest teen fad. As a result, coffee and book prices rise by 25 percent. Bill lowers his consumption of both goods by the same percentage.

d. Bill drops out of art school and gets an M.B.A. instead. He stops reading books and drinking coffee. Now he reads the Wall Street Journal and drinks bottled mineral water.

Judy has decided to allocate exactly $500 to college textbooks every year, even though she knows that the prices are likely to increase by 5 to 10 percent per year and that she will be getting a substantial monetary gift from her grandparents next year. What is Judy’s price elasticity of demand for textbooks? Income elasticity?

Jane always gets twice as much utility from an extraballet ticket as she does from an extra basketball ticket,regardless of how many tickets of either type she has. Draw Jane’s income-consumption curve and her Engel curve for ballet tickets.

a. Orange juice and apple juice are known to be perfect substitutes. Draw the appropriate price consumption curve (for a variable price of orange juice) and income-consumption curve.

b. Left shoes and right shoes are perfect complements. Draw the appropriate price-consumption and income-consumption curves.

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