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Which of the following cases will result in the largest decrease in equilibrium price? The largest change in equilibrium quantity? Verify your answers by drawing graphs. a. Demand is highly inelastic; there is a relatively large increase in supply. b. Demand is highly elastic; there is a relatively small increase in supply. c. Supply is highly inelastic; there is a relatively small decrease in demand. d. Supply is highly elastic and demand is very inelastic; there is a relatively large increase in supply.

Short Answer

Expert verified
Case d results in the largest price decrease, and case b leads to the largest quantity change.

Step by step solution

01

Understanding the Scenario

The equilibrium price and quantity in a market are determined by the intersection of the supply and demand curves. Changes in these curves can lead to changes in price and quantity.
02

Explanation of Elasticity

Elasticity measures how much the quantity demanded or supplied responds to a change in price. Highly elastic demand or supply means a small change in price leads to a large change in quantity. Conversely, inelastic means quantity changes very little with price changes.
03

Case a: Large Supply Increase with Inelastic Demand

Here, because demand is highly inelastic, a large increase in supply will lower the equilibrium price significantly but result in a small increase in quantity.
04

Case b: Small Supply Increase with Elastic Demand

In this situation, the equilibrium price will decrease slightly as even a small increase in supply with elastic demand causes a larger increase in quantity.
05

Case c: Small Demand Decrease with Inelastic Supply

Since supply is inelastic, a small decrease in demand will lead to a slight decrease in equilibrium quantity and hardly any change in price.
06

Case d: Large Supply Increase with Very Inelastic Demand

A large increase in supply with very inelastic demand will result in a significant decrease in equilibrium price and a small increase in quantity due to the nature of very inelastic demand.
07

Analyzing Graphs and Results

By graphing these scenarios, case d shows the largest decrease in price as a large shift in supply intersects with a steep or vertical demand curve (very inelastic). Case b shows the largest increase in equilibrium quantity due to a flat or horizontal demand curve (elastic) with a supply increase.

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Key Concepts

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

Elasticity in Economics
Elasticity in economics refers to the degree to which individuals, consumers or producers, change their demand or the amount supplied in response to price or income changes. It is a crucial concept as it helps determine how changes in market factors will impact supply and demand.

There are several types of elasticity, but the most common are:
  • Price Elasticity of Demand (PED): Measures how much the quantity demanded changes in response to a change in price.
  • Price Elasticity of Supply (PES): Measures how much the quantity supplied changes in response to a change in price.
Elasticity can be:
  • Elastic (greater than 1): Large response in quantity to a price change.
  • Inelastic (less than 1): Small response in quantity to a price change.
  • Unitary (equal to 1): Proportional change in quantity to a price change.
Understanding elasticity can help in predicting how various economic events will affect markets, such as the impacts of taxation, price floors, or price ceilings.
Supply and Demand Curves
Supply and demand curves are graphical representations of the relationship between prices and the quantities of goods supplied or demanded in a market. These curves are fundamental tools for analyzing how market dynamics operate.

The **supply curve** slopes upward, indicating that as prices increase, suppliers are willing to produce more. Conversely, the **demand curve** normally slopes downward, signifying that as prices decrease, consumers will purchase more.

The point where these two curves intersect is known as the **market equilibrium**. At this point, the quantity supplied equals the quantity demanded, and the market is said to be at balance, with no inherent tendency to change without external forces.

Shifts in these curves reflect changes in the market, such as technological advancements, consumer preferences, or resource costs. An outward shift in the supply curve typically lowers prices and increases quantities, while a shift in the demand curve can either raise or lower both price and quantity, depending on the direction.
Inelastic Demand and Supply
Inelastic demand or supply represents a situation where a change in price leads to a relatively small change in quantity demanded or supplied. This often occurs with necessities or goods with fewer substitutes.

**Inelastic demand** is characterized by:
  • A steep demand curve.
  • Consumers who are not sensitive to price changes.
  • Essential goods like medication or utilities where consumption remains stable even as prices fluctuate.
With **inelastic supply**, producers are unable to adjust production easily, shown by a steep supply curve. This might be seen in scenarios where production requires significant time or resources, such as agricultural products.

In markets with inelastic supply or demand, external factors like significant changes in supply can lead to drastic changes in equilibrium price, but little effect on quantity.
Market Equilibrium Analysis
Market equilibrium analysis involves studying how markets respond to changes in supply and demand, ultimately finding a new point of balance or equilibrium.

Analyzing how supply or demand shifts affect the market involves:
  • Identifying initial equilibrium where supply equals demand.
  • Illustrating shifts using changes in the curves due to various factors such as consumer trends or new technologies.
  • Observing resultant changes in market equilibrium price and quantity.
For example, in the exercise, a large increase in supply combined with inelastic demand leads to a substantial decrease in equilibrium price. By drawing graphs, students can easily visualize how steep (inelastic) demand and flat (elastic) supply lines interact; the vertical or nearly vertical lines show dramatic price drops with large supply shifts.

Such analysis helps intuitively grasp complex economic principles, enhancing decision-making for both policymakers and businesses in anticipating and responding to market changes.

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Most popular questions from this chapter

When the demand for toilet paper increases, the equilibrium quantity sold increases. Consumers are buying more, and producers are producing more. a. How do producers receive the signal that they need to increase production to meet the new demand? b. Based on the facts given above, can you say that an increase in the demand for toilet paper causes an increase in the supply of toilet paper? Carefully explain why or why not.

List the assumptions of the supply and demand model. Then, for each assumption, give one example of a market in which the assumption is satisfied, and one example of a market in which that assumption is not satisfied. Is it reasonable to use the supply and demand model when assumptions are violated?

How is each of the following events likely to shift the supply curve or the demand curve for fast-food hamburgers in the United States? Make sure you indicate which curve (curves) is affected and if it shifts out or in. a. The price of beef triples. b. The price of chicken falls by half. c. The number of teenagers in the economy falls due to population aging. d. Mad cow disease, a rare but fatal medical condition caused by eating tainted beef, becomes common in the United States. e. The Food and Drug Administration publishes a report stating that a certain weight-loss diet, which encourages the intake of large amounts of meat, is dangerous to one's health. f. An inexpensive new grill for home use that makes delicious hamburgers is heavily advertised on television. g. The minimum wage rises.

The demand for organic carrots is given by the following equation: $$ Q_{o}^{D}=75-5 P_{O}+P_{C}+2 I $$ where \(P_{O}\) is the price of organic carrots, \(P_{C}\) is the price of conventional carrots, and \(I\) is the average consumer income. Notice how this isn't a standard demand curve that just relates the quantity of organic carrots demanded to the price of organic carrots. This demand function also describes how other factors affect demand -namely, the price of another good (conventional carrots) and income. a. Graph the inverse demand curve for organic carrots when \(P_{c}=5\) and \(I=10 .\) What is the choke price? b. Using the demand curve drawn in (a), what is the quantity demanded of organic carrots when $$ P_{o}=5 ? \text { When } P_{a}=10 ? $$ c. Suppose \(P_{c}\) increases to \(15,\) while \(I\) remains at 10 . Calculate the quantity demanded of organic carrots. Show the effects of this change on your graph and indicate the choke price. Has there been a change in the demand for organic carrots, or a change in the quantity demanded of organic carrots?

The supply of wheat is given by the following equation: $$Q_{W}^{S}=-6+4 P_{w}-2 P_{c}-P_{f}$$ where \(Q_{W}^{S}\) is the quantity of wheat supplied, in millions of bushels; \(P_{w}\) is the price of wheat per bushel; \(P_{c}\) is the price of corn per bushel; and \(P_{f}\) is the price of tractor fuel per gallon. a. Graph the inverse supply curve when corn sells for $$\$ 4$$ a bushel and fuel sells for $$\$ 2$$ a gallon. What is the supply choke price? b. How much wheat will be supplied at a price of $$\$ 4 ? \$ 8 ?$$ c. What will happen to the supply of wheat if the price of corn increases to $$\$ 6$$ per bushel? Explain intuitively; then graph the new inverse supply carefully and indicate the new choke price. d. Suppose instead that the price of corn remains $$\$ 4$$, but the price of fuel decreases to $$\$ 1 .$$ What will happen to the supply of wheat as a result? Explain intuitively; then graph the new inverse supply. Be sure to indicate the new choke price.

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