The fudge makers compete in a Bertrand market structure with differentiated products. The demand curve for Fudge Factory is given by 
where pF is the price for fudge at Fudge Factory and pC is the price at Chocolate Corner. The demand curve for Chocolate Corner is given by 
Fudge Factory's cost is CF = 5qF and Chocolate Corner's cost is CC = 5qC. Use calculus for the following.
a. Identify Fudge Factory's profit function and its reaction function.
b. Identify Chocolate Corner's profit function and its reaction function.
c. Identify the equilibrium prices at the two fudge makers.
Definitions:
Contains Integers
Typically refers to a data structure that is capable of storing integer values.
Displays Content
The act of presenting information, such as text, images, or videos, on a device screen or through another output medium.
Read/Write Access
The permissions granted to a user or process to read data from, or write data to, a file or computing resource.
Stream
An abstraction in Java 8 and above that represents a sequence of elements supporting sequential and parallel aggregate operations.
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