Question

In: Economics

Inverse demand for roof shingles is given by P= 10-Q/100. Each shingle costs 0.25 to produce....

Inverse demand for roof shingles is given by P= 10-Q/100. Each shingle costs 0.25 to produce. Firms compete in quantities.

1. Assume that fixed costs are zero and that there are two firms in this industry. Firm 1 is able to commit to its output level before firm 2 can. What will be the subgame perfect equilibrium quantities and profits of each firm?

  1. Now suppose that there is a fixed cost of 2 to produce shingles. What is the smallest quantity firm 1 could produce and still deter entry by firm 2? How does this compare to the monopoly quantity?

  2. Does firm 1 want to deter entry (i.e. is it profitable to deter entry)? What is the smallest fixed cost f for which deterring entry would be profitable?

Solutions

Expert Solution

**********PLEASE UPVOTE AS SMALL TOKEN OF APPRECIATION*************


Related Solutions

Two firms produce a homogeneous product with an inverse market demand given by P = 100...
Two firms produce a homogeneous product with an inverse market demand given by P = 100 – 2Q, where Q = q1+q2. The first firm has a cost function given by C1=12q1and the second firm has a cost function given by C2=20q2. The firms make simultaneous output choices to maximize profit. Determine the equilibrium values of firm outputs, market output, price, and firm profits. With reference to question 1, now assume that decision-making is sequential with firm 1 choosing its...
Two firms produce a homogeneous product with an inverse market demand given by P = 100...
Two firms produce a homogeneous product with an inverse market demand given by P = 100 – 2Q, where Q = q1+q2. The first firm has a cost function given by C1=12q1and the second firm has a cost function given by C2=20q2. The firms make simultaneous output choices to maximize profit. Determine the equilibrium values of firm outputs, market output, price, and firm profits. With reference to question 1, now assume that decision-making is sequential with firm 1 choosing its...
17.17. The demand for energy-efficient appliances is given by P = 100/Q, while the inverse supply...
17.17. The demand for energy-efficient appliances is given by P = 100/Q, while the inverse supply (and marginal private cost) curve is MPC = Q. By reducing demand on the electricity network, energy-efficient appliances generate an external marginal benefit according to MEB = eQ. a) What is the equilibrium amount of energy-efficient appliances traded in the private market? b) If the socially efficient number of energy-efficient appliances is Q = 20, what is the value of e? c) If the...
The market (inverse) demand function for a homogenous good is P(Q) = 10 – Q. There...
The market (inverse) demand function for a homogenous good is P(Q) = 10 – Q. There are three firms: firm 1 and 2 each have a total cost of Ci(qi) = 4qi for i ∈ {1.2}. and firm 3 has a total cost of C3(q3) = 2q3. The three firms compete by setting their quantities of production, and the price of the good is determined by a market demand function given the total quantity. Calculate the Nash equilibrium in this...
The inverse market demand for a homogeneous good is given by p = 1 – Q,...
The inverse market demand for a homogeneous good is given by p = 1 – Q, where p denotes the price and Q denotes the total quantity of the good. The good is supplied by three quantity-setting firms (Firm 1, Firm 2, and Firm 3) competing à la Cournot, each producing at a constant marginal cost equal to c > 0. a) Derive the best reply of Firm 1. b) Compute the Cournot-Nash equilibrium quantity and profits of Firm 1....
A monopoly has an inverse demand function given by p = 120 - Q and a...
A monopoly has an inverse demand function given by p = 120 - Q and a constant marginal cost of 10. a) Graph the demand, marginal revenue, and marginal cost curves. b) Calculate the deadweight loss and indicate the area of the deadweight loss on the graph. c) If this monopolist were to practice perfect price discrimination, what would be the quantity produced? d) Calculate consumer surplus, producer surplus, and deadweight loss for this monopolist under perfect price discrimination.
Consider a market where inverse demand is given by P = 40 − Q, where Q...
Consider a market where inverse demand is given by P = 40 − Q, where Q is the total quantity produced. This market is served by two firms, F1 and F2, who each produce a homogeneous good at constant marginal cost c = $4. You are asked to analyze how market outcomes vary with industry conduct: that is, the way in which firms in the industry compete (or don’t). First assume that F1 and F2 engage in Bertrand competition. 1....
Consider a market where the inverse demand function is p =100 – Q, Q = q1+q2....
Consider a market where the inverse demand function is p =100 – Q, Q = q1+q2. Both firms in the market have a constant marginal cost of $10 and no fixed costs. Suppose these two firms are engaged in Cournot competition. Now answer the following questions: a)      Define best response function. Find the best response function for each firm. b)      Find Cournot-Nash equilibrium quantities and price. c)      Compare Cournot solution with monopoly and perfect competitive solutions.
The inverse demand function a monopoly faces is P = 100 − Q. The firm’s cost...
The inverse demand function a monopoly faces is P = 100 − Q. The firm’s cost curve isTC(Q) = 10 + 5Q.Suppose instead that the industry is perfectly competitive. The industry demand curve and firm cost function is same as given before. (j) (4 points) What is the level of output produced? Compare it to the output of single price monopoly. (k) (4 points) What is the equilibrium price for this industry? Compare it to the price charged of single...
A perfectly competitive market exists for wheat. The inverse demand is P = 100-Q where P...
A perfectly competitive market exists for wheat. The inverse demand is P = 100-Q where P is the price of wheat and Q is the total quantity of wheat. The private total cost for the unregulated market to produce a quantity of Q is 50+80Q +0.5Q^2. The production of wheat creates some pollution where the total externality cost is EC =Q^2. Task 1: Solve for the free market competitive equilibrium of wheat. Task 2: Solve for the socially optimal level...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT