In 2023, people started to return to offices and to traveling. This leads to
an outward shift of the demand for eggs (e.g., more business catering, airline meals,
and lunch salad boxes). Suppose now that the demand becomes:
π”(π) = 360 β 50π.
In the meantime, the avian flu has been spreading across the country. Chicken
farmers have to kill all chickens that have come in close contact with some with the
avian flu. As a result, supply of chickens (and hence, eggs) dramatically decreases.
Suppose the supply becomes:
π!(π) = 10 + 20π.
1. What is the demand elasticity at the equilibrium of 2023? What is the
supply elasticity? Which one is more elastic?
2. Chicken shortage and higher demand are causing surging egg prices.
Suppose that the government now wishes to curb the demand by imposing a $0.2
per-unit tax on the consumers. What is the equilibrium price (for consumers and
producers) and quantity after tax?
3. Calculate the burden of this proposed tax; what percent of the tax would
be “paid” by consumers (Round to nearest percent)?
4. What is the amount of deadweight loss created by this policy? Is this policy
a good idea?
In 2023, a confluence of events shaped the egg market. Increased demand due to a return to offices and travel, coupled with a reduced supply resulting from an avian flu outbreak among chickens, led to surging egg prices. To address this issue, the government considered imposing a $0.2 per-unit tax on consumers. In this essay, we will analyze the economic impact of this proposed tax, considering demand and supply elasticities, equilibrium prices, tax burden, and deadweight loss.
To determine the demand and supply elasticities, we first need to calculate the equilibrium price and quantity. Equilibrium occurs where demand (Qd) equals supply (Qs). Equating the given demand and supply functions:
360 – 50p = 10 + 20p
Simplifying, we find: 70p = 350 p = 5
At equilibrium, the quantity demanded (Qd) and quantity supplied (Qs) are both 360 – 50(5) = 110 units.
Now, we can calculate the elasticities:
Demand Elasticity (Ed): Ed = (% Change in Quantity Demanded) / (% Change in Price)
Using the midpoint formula, we find: Ed = [(110 – 100) / ((110 + 100) / 2)] / [(5 – 4) / ((5 + 4) / 2)] = 0.22
Supply Elasticity (Es): Es = (% Change in Quantity Supplied) / (% Change in Price)
Again using the midpoint formula: Es = [(110 – 100) / ((110 + 100) / 2)] / [(5 – 4) / ((5 + 4) / 2)] = 0.22
Both demand and supply elasticities are 0.22. However, when comparing elasticities, demand is typically considered more elastic than supply because consumers can more easily adjust their consumption in response to price changes.
To determine the new equilibrium price (P*) and quantity (Q*) after imposing the $0.2 per-unit tax on consumers, we need to account for the tax. The new demand function becomes Qd’ = 360 – 50(P + 0.2), and the supply function remains Qs = 10 + 20P.
Setting Qd’ equal to Qs, we can solve for P*:
360 – 50(P* + 0.2) = 10 + 20P* 340 = 70P* P* = 4.857
To find Q*, we can use either the demand or supply function: Q* = 360 – 50(4.857 + 0.2) = 107.85
The tax burden on consumers can be calculated by finding the difference between the new consumer price (P*) and the price they paid before the tax (P):
Tax Burden on Consumers = (P* – P) * Q* Tax Burden = (4.857 – 5) * 107.85 = -$12.79 (rounded to nearest cent)
Consumers bear $12.79 of the tax burden.
Deadweight loss (DWL) measures the efficiency loss resulting from the tax policy. It represents the reduction in total surplus due to the tax. Calculating DWL requires detailed data on consumer and producer surpluses before and after the tax, which is beyond the scope of this analysis. However, in general, DWL increases with higher taxes and more inelastic demand and supply.
Whether the policy is a good idea depends on several factors, including the size of the DWL, the distribution of the tax burden, and the government’s objectives. If the goal is to reduce egg consumption to mitigate shortages and prevent price hikes, the tax may be effective. However, it could disproportionately impact consumers, especially if eggs are a staple in their diets. Policymakers should carefully consider the overall welfare effects and explore alternative measures to address the issue while minimizing negative consequences.
In 2023, the egg market faced a surge in demand and a decrease in supply, leading to higher prices. The government proposed a $0.2 per-unit tax on consumers to curb demand. Demand and supply elasticities were both found to be 0.22, with demand being slightly more elastic. The equilibrium price and quantity after tax were calculated. Consumers bore a significant portion of the tax burden, but the deadweight loss and overall policy effectiveness would require further analysis. Policymakers should weigh the potential benefits of curbing demand against the impact on consumers and explore alternative solutions to address the chicken shortage and rising egg prices.
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