Now take a cost function c(y) = y2. (Again I am not claiming this is the...
Suppose an industry has a duopoly structure. Duopolist 1 has a cost function given by: c1 (y1) = (y1)2 for y1 ≥ 0 . Duopolist 2 has a cost function given by: c2(y2 ) = 12y2 for y2 ≥ 0. Denoting total output produced in the industry by y = (y1 + y2), the inverse demand function for the good produced in the industry is given by: p = 100 – y Find the reaction function of each duopolist. Using...
Two firms have the cost function C(y) = y2. The inverse demand function for the firms' output is pi = 120 – D, where D is the total output. What are the firms' outputs in a Nash equilibrium of Cournot's model?
Suppose a firm in a perfectly competitive market has the cost function c(y)= y2 + 2y +4 Now suppose that there is a sudden increase in demand that raises the market price to p= 8. How much does the firm produce at this price?
**Only [Harder] Question** Problem 2. Consider a firm that has a cost function of c(y) = 5y 2 + 50, 000. In other words, this is a firm with a fixed cost of $50,000 (which might be something like the cost of rent on the firm’s building, which they have to pay whether they produce any output or not) and a variable cost of $5Y 2 , (which we’ll think of as the cost of the labor and machinery necessary...