The Inverse Demand for Tacos Is Given by P =

question 105

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 local 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. Let Q = q₁ + q₂.
a. What is shop 1's profit function?
b. What is shop 2's profit function?

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Definitions:

Price of Leather Jackets

The price of leather jackets refers to the amount of money required to purchase a leather jacket, which may vary based on quality, brand, and market.

Demand

The quantity of a good or service that consumers are willing and able to purchase at various prices.

Consumption

Consumption involves the use of goods and services by households, representing one of the primary components of economic activity and an indicator of economic health.

Total Cost

Represents the complete expense incurred in the production of goods or services, combining both fixed and variable costs.