Question

In: Economics

The inverse market demand curve for protocol droids is P = 4,000 – 2Q, where Q...

The inverse market demand curve for protocol droids is P = 4,000 – 2Q, where Q is the quantity of protocol droids and P is the market price. Protocol droids can be produced at a constant marginal cost of $1,000, and all protocol droids are identical.
a. Suppose the market for protocol droids is served by two firms that form a cartel and evenly split the market output. What are the market output and price level?
b. Suppose the market for protocol droids is served by two firms that are engaged in Bertrand competition. What are the market output and price level?
c. Suppose the market for protocol droids is served by two firms that are engaged in Cournot competition. The inverse market demand curve P = 4,000 – 2(q1 + q2), where the market output, Q, is the sum of each firm's output, q1 + q2. What are the market output and price level?
d. Suppose the market for protocol droids is served by two firms that are engaged in Stackelberg competition. The inverse market demand curve P = 4,000 – 2(q1 + q2), where the market output, Q, is the sum of each firm's output, q1 + q2. What are the market output and price level?

Solutions

Expert Solution


Related Solutions

The inverse market demand curve for a duopoly market is p=14-Q=14-q₁-q₂, where Q is the market...
The inverse market demand curve for a duopoly market is p=14-Q=14-q₁-q₂, where Q is the market output, and q₁ and q₂ are the outputs of Firms 1 and 2, respectively. Each firm has a constant marginal cost of 2 and a fixed cost of 4. Consequently, the Nash-Cournot best response curve for Firm 1 is q₁=6-q₂/2. A. Create a spreadsheet with Columns titled q₂, BR₁, Q, p, and Profit₁. In the first column, list possible quantities for Firm 2, q₂,...
The inverse demand for a homogeneous good is given by P(Q) = 5 – 2Q, where...
The inverse demand for a homogeneous good is given by P(Q) = 5 – 2Q, where Q denotes the quantity of the good. The good is produced by two quantity‐ setting firms. Firm 1 has a constant marginal cost equal to c>0. Firm 2 has a constant marginal cost equal to d∈[0,c] 1) Assume simultaneous competition. Derive price, quantities and profits in the Cournot‐Nash equilibrium. 2) Assume now sequential competition, with firm 1 taking the Stackelberg leader role. Derive price,...
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....
1. The inverse demand curve for sprokets is P = 4,000 - 2(q1 + q2), where...
1. The inverse demand curve for sprokets is P = 4,000 - 2(q1 + q2), where the market output Q is the sum of each firm's output of sprokets, q1 + q2 and P is the market price. Spokets can be produced at a constant MC = ATC = 1,000 and all sprokets produced are identical. Suppose there is a duopoly in the production of sprokets and the firms engage in Stackelberg competition. Firm 1 is the Stackelberg leader. What...
A monopolist serves market A with an inverse demand curve of P = 12 – Q....
A monopolist serves market A with an inverse demand curve of P = 12 – Q. The marginal cost is constant at $2. Suppose the monopolist uses a two-part tariff pricing. What price does the monopolist set? What is the entrance fee? What is the deadweight loss? What is consumer surplus?
Two firms compete in a market with inverse demand P(Q) = a − Q, where the...
Two firms compete in a market with inverse demand P(Q) = a − Q, where the aggregate quantity is Q = q1 + q2. The profit of firm i ∈ {1, 2} is πi(q1, q2) = P(Q)qi − cqi , where c is the constant marginal cost, with a > c > 0. The timing of the game is: (1) firm 1 chooses its quantity q1 ≥ 0; (2) firm 2 observes q1 and then chooses its quantity q2 ≥...
The market demand curve is P = 260 – Q, where Q is the output of...
The market demand curve is P = 260 – Q, where Q is the output of Firm 1 and Firm 2, q1 + q2. The products of the two firms are identical. a. Firm 1 and Firm 2 have the same cost structure: AC = MC = $20. If the firms are in a competitive duopoly, how much profit does each firm earn? b. Now suppose that Firm 2's production costs increase to AC = MC = $80. If the...
Consider a monopolistic market with the following inverse demand curve: P=z(32-Q) where z is the quality...
Consider a monopolistic market with the following inverse demand curve: P=z(32-Q) where z is the quality level. Suppose that the marginal production cost of output is independent of quality and equal to 0. The cost of quality is C(z)=8z2. a) (6 pts.) Calculate the production level that would maximize profits. b) (7 pts.) Calculate the quality level that would maximize profits.
Consider a market with a demand curve given (in inverse form) by P(Q)=50−0.25QP(Q)=50−0.25Q, where QQ is...
Consider a market with a demand curve given (in inverse form) by P(Q)=50−0.25QP(Q)=50−0.25Q, where QQ is total market output and PP is the price of the good. Two firms compete in this market by sequentially choosing quantities q1q1 and q2q2 (where q1+q2=Qq1+q2=Q). This is an example of: Choose one: A. Cournot competition. B. Bertrand competition. C. perfect competition. D. Stackelberg competition. Part 2(4 pts) Now suppose the cost of production is constant at $20.00 per unit (and is the same...
Consider a Monopolist where the inverse market demand curve for the produce is given by P...
Consider a Monopolist where the inverse market demand curve for the produce is given by P = 520 − 2Q. Marginal Cost: MC =100 + 2Q and Total Cost: 100 .50 2 TC = Q + Q + [1 + 1 + 1 = 3] Calculate: (a) Profit Maximizing Price and Quantity. (b) Single Price Monopolist Profit. (c) At the profit maximizing quantity, what is the Average Total Cost (ATC) for the Consider a Monopolist where the inverse market demand...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT