The Inverse Demand for Tacos Is Given by P =

question 145

Essay

The inverse demand for tacos is given by P = 10 - 0.02Q, where P is the price per taco and Q is the total number of tacos brought to market. There are two taco shops in the market. Shop 1's cost function is given by C₁ = 0.01q₁², where q₁ is the number of tacos it brings to market. Shop 2's cost function is given by C₂ = 0.01q₂², where q₂ is the number of tacos it brings to market. Given that the two shops compete by setting output (Cournot), answer the following.
a. Identify shop 1's reaction function to firm 2's output.
b. Identify shop 2's reaction function to firm 1's output.
c. Identify the equilibrium output level of each shop and the equilibrium price for tacos.

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Definitions:

Q

Generally denotes quantity in economic and mathematical models, referring to the amount of goods or services.

School of Thought

A particular philosophy or a specific way of thinking that is characteristic of a certain group or period.

Recession

A significant decline in economic activity spread across the economy, lasting more than a few months, typically visible in real GDP, real income, employment, industrial production, and wholesale-retail sales.

Velocity of Money

The rate at which money circulates in the economy, typically measured as the ratio of GDP to the national money supply.