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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
A 10% increase in the price of computer chips and disk drives will result in a decrease in sales by 20% and 10% respectively. Due to the price increase, the sales revenue for computer chips is predicted to decrease, while for disk drives it is expected to increase. Additional information such as current prices and quantities sold are required to determine which product will generate the most revenue.

Step by step solution

01

Understand Price Elasticity of Demand

The price elasticity of demand quantifies how much the quantity demanded of a good responds to a change in the good's price. It is calculated as the percent change in quantity demanded divided by the percent change in price. In this case, the price elasticity of demand for computer chips is -2 and disk drives is -1.
02

Predict the Impact of a Price Increase on Sales

From the given price elasticities, it can be predicted that a 10% increase in the price of both products will lead to a 20% decrease in the quantity demanded for computer chips (10% * -2 = -20%) and a 10% decrease for disk drives (10% * -1 = -10%).
03

Predict the Impact of a Price Increase on Sales Revenue

Sales revenue is calculated by multiplying the price of a product by the quantity sold. With a price elasticity of demand greater than 1 in absolute value, a price increase will result in a decrease in total revenue, while with a price elasticity of demand less than 1 in absolute value, a price increase will increase total revenue. Thus, revenue from computer chips will decrease while that from disk drives will increase.
04

Determine the Product Generating Most Revenue

The given information is insufficient to definitively say which product will generate the most revenue only knowing the price elasticity. To determine this, additional information is required such as the current prices, quantities sold, and the projected sales quantities post price increase for both products.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Microeconomics
Microeconomics is a branch of economics that focuses on the behavior of individuals and firms in making decisions regarding the allocation of scarce resources and the interactions among these individuals and firms. One key aspect of microeconomics is understanding how consumers respond to price changes, which is essential for businesses when setting prices for their products or services. The role of microeconomics extends to analyzing market mechanisms that establish relative prices among goods and services and the allocation of limited resources among many alternative uses.

Understanding microeconomics provides the foundation for evaluating market conditions, which in turn can affect a company like ACME Corporation's strategies for pricing computer chips and disk drives. When firms grasp the principles of microeconomics, they can use this insight to make informed decisions that maximize profits and market shares while adhering to consumer demand and price sensitivities.
Demand Response to Price Changes
The demand response to price changes is a crucial concept in microeconomics and can be quantitatively measured by the price elasticity of demand. This metric encapsulates the consumer's sensitivity to price fluctuations concerning their consumption patterns. A higher price elasticity indicates that consumers will significantly reduce the quantity demanded in response to a price increase. In contrast, a lower price elasticity means that the change in quantity demanded will be relatively smaller.

In the instance of the ACME Corporation, the demand for computer chips is highly elastic with a price elasticity of -2, suggesting that consumers will significantly reduce their purchases if the prices rise. Conversely, disk drives have a price elasticity of -1, implying that the demand is less affected by price changes. It is indicative of the fact that disk drives may be a necessity or have fewer substitutes available compared to computer chips.
Sales Revenue Impact
When evaluating the impact of price changes on sales revenue, understanding the price elasticity of demand is fundamental. Sales revenue is the total amount of money that is brought into the company from the sales of goods or services, calculated as the product's price times the quantity sold.

For products with an absolute price elasticity greater than 1 (elastic demand), an increase in price will typically result in a decrease in total revenue because the quantity demanded falls sharply. For products with an absolute price elasticity less than 1 (inelastic demand), raising prices should lead to an increase in total revenue since the quantity demanded does not drop significantly. In the ACME Corporation's scenario, we see that the computer chips, which have an elastic demand, will likely generate less revenue after the price increase. In contrast, disk drives are expected to generate more revenue following the price hike, due to their inelastic demand. However, without concrete figures for pre-adjustment prices and quantities, the exact impact on sales revenue remains uncertain.

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Most popular questions from this chapter

An individual sets aside a certain amount of his income per month to spend on his two hobbies, collecting wine and collecting books. Given the information below, illustrate both the price-consumption curve associated with changes in the price of wine and the demand curve for wine. $$\begin{array}{|ccccc|} \hline \begin{array}{c} \text { PRICE } \\ \text { WINE } \end{array} & \begin{array}{c} \text { PRICE } \\ \text { B00K } \end{array} & \begin{array}{c} \text { QUANTITY } \\ \text { WINE } \end{array} & \begin{array}{c} \text { QUANTITY } \\ \text { BOOK } \end{array} & \text { BUDGET } \\ \hline \$ 10 & \$ 10 & 7 & 8 & \$ 150 \\ \hline \$ 12 & \$ 10 & 5 & 9 & \$ 150 \\ \hline \$ 15 & \$ 10 & 4 & 9 & \$ 150 \\ \hline \$ 20 & \$ 10 & 2 & 11 & \$ 150 \\ \hline \end{array}$$

The director of a theater company in a small college town is considering changing the way he prices tickets. He has hired an economic consulting firm to estimate the demand for tickets. The firm has classified people who go to the theater into two groups and has come up with two demand functions. The demand curves for the general public \(\left(Q_{x p}\right)\) and students \((Q)\) are given below: \\[ \begin{array}{l} Q_{g p}=500-5 P \\ Q_{s}=200-4 P \end{array} \\] a. Graph the two demand curves on one graph, with \(P\) on the vertical axis and \(Q\) on the horizontal axis. If the current price of tickets is \(\$ 35,\) identify the quantity demanded by each group. b. Find the price elasticity of demand for each group at the current price and quantity. c. Is the director maximizing the revenue he collects from ticket sales by charging \(\$ 35\) for each ticket? Explain. d. What price should he charge each group if he wants to maximize revenue collected from ticket sales?

An individual consumes two goods, clothing and food. Given the information below, illustrate both the income-consumption curve and the Engel curve for clothing and food. $$\begin{array}{|ccccc|} \hline \begin{array}{c} \text { PRICE } \\ \text { CLOTHING } \end{array} & \begin{array}{c} \text { PRICE } \\ \text { F00D } \end{array} & \begin{array}{c} \text { QUANTITY } \\ \text { CLOTHING } \end{array} & \begin{array}{c} \text { QUANTIT } \\ \text { F00D } \end{array} & \text { INCOME } \\ \hline \$ 10 & \$ 2 & 6 & 20 & \$ 100 \\ \hline \$ 10 & \$ 2 & 8 & 35 & \$ 150 \\ \hline \$ 10 & \$ 2 & 11 & 45 & \$ 200 \\ \hline \$ 10 & \$ 2 & 15 & 50 & \$ 250 \\ \hline \end{array}$$

Vera has decided to upgrade the operating system on her new \(P C .\) She hears that the new Linux operating system is technologically superior to Windows and substantially lower in price. However, when she asks her friends, it turns out they all use PCs with Windows. They agree that Linux is more appealing but add that they see relatively few copies of Linux on sale at local stores. Vera chooses Windows, Can you explain her decision?

Suppose the income elasticity of demand for food is 0.5 and the price elasticity of demand is \(-1.0 .\) Suppose also that Felicia spends \(\$ 10,000\) a year on food, the price of food is \(\$ 2,\) and that her income is \(\$ 25,000\) a. If a sales tax on food caused the price of food to increase to \(\$ 2.50,\) what would happen to her consumption of food? (Hint: Because a large price change is involved, you should assume that the price elasticity measures an arc elasticity, rather than a point elasticity.) b. Suppose that Felicia gets a tax rebate of \(\$ 2500\) to ease the effect of the sales tax. What would her consumption of food be now? c. Ts she better or worse off when given a rebate equal to the sales tax payments? Draw a graph and explain.

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