Homework Answers
Given,
Two firms in market the firm's simultaneously Choose their output level q1 for firm 1 and q2 for firm 2.
To find:
a) Find first profit as a function of q1and q2.
Given equation is p = 65-(q1+q2)
Add Answer to:
2. (30 pts) There are two firms in a market, producing the same good. The firms...
Exercise 5: Two firms compete in a centralized market by choosing quantity produced (91,92) simultaneously. Aggregate p...
Exercise 5: Two firms compete in a centralized market by choosing quantity produced (91,92) simultaneously. Aggregate production determines price, according to the following inverse demand function: p = [85 - 2 (91 +92)]. Firm l's total costs of production) are TC = 541. Firm 2's total costs are TC2 = 1592 a. Graph the combination of quantities (91,92) that yield the following profits: 11 (91.42) = T12 (91,92) = 450 ; 11 (41,42) = 500 ; 200; 12 (91,92) =...
7. Consider an asymmetric Cournot duopoly game, where the two firms have different costs of production....
7. Consider an asymmetric Cournot duopoly game, where the two firms have different costs of production. Firm 1 selects quantity qı at a pro- duction cost of 291. Firm 2 selects quantity 92 and pays the produc- tion cost 492. The market price is given by p = 12 – 91 - 92. Thus, the payoff functions are u(91,92) = (12 – 91 - 92.91 – 291 and uz(9192) = (12 – 91 - 92)92 – 492. Calculate the firms'...
2. Consider a Cournot dupoly, but assume that demand is p(q) = 12 – 9 (ignoring...
2. Consider a Cournot dupoly, but assume that demand is p(q) = 12 – 9 (ignoring non-negativity) and and unit cost c= 3. Again, firms simultaneously pick quantities qı > 0 and q2 > 0 and the price is set to clear the market given the quantities chosen. 1. Write down the optimization problems that define the best responses, solve explicitly for the best response functions, and find all Nash equilibria. 2. Formulate the problem for a cartel that maximizes...
3. (35 points Suppose that there are K( 3) firms operate in a market with demand...
3. (35 points Suppose that there are K( 3) firms operate in a market with demand function given by P(Q) = 100-Q, where Q=91 +92 + ... +2K, and qi is the quantity produced by firm i. Each firm has a constant marginal cost of production, c = 10, and no fixed cost. The firms choose their quantities dynamically as follows: Firm 1, which is the industry leader, chooses qı € (0, 100). All other firms i = 2,..., K...
3. There are two firms that compete according to Cournot competition. Firm 1 has a cost...
3. There are two firms that compete according to Cournot competition. Firm 1 has a cost function G(91) = 5.59+12. Firm 2 has a cost function C(q2) = 2.5q3 + 18. These firms cannot discriminate, so there is just one price that is determined by the aggregate demand. The inverse demand equation is P(Q) = 600 – 0 Where total supply Q-q1+92. (e) Use your best response equations to mathematically solve for the equilibrium quantities qi 9, Q". equilibrium price...
Two profit-maximizing firms compete in a market. Firm 1 chooses quantity qı > 0 and Firm...
Two profit-maximizing firms compete in a market. Firm 1 chooses quantity qı > 0 and Firm 2 chooses quantity 42 > 0. The market price is: p(91,92) = 8 - 2q1 - 42. The cost to Firm 1 of producing qi is C1 = 41. The cost to Firm 2 of producing 92 is C2 = 42 + 42. a.) * Calculate the best-response function for each firm. b.) Suppose the two firms choose their quantities simultaneously. What is the...
1. (25 points) Consider two firms, 1 and 2, producing an identical good simul taneously. This...
1. (25 points) Consider two firms, 1 and 2, producing an identical good simul taneously. This good has market demand given by the demand function y (12 p)/3, where p is price, and y yi y2 is market quantity. yi represents the amount produced by firm i. Suppose production cost is 2yi1 for each firms (a) Solve algebraically for these firms' reaction functions, expressing each firm's optimal output level given the level of its competitor's out- put.(5 pts) (b) Graph...
Question 2 The Republic of Ruritania's demand for Brawndo is supplied by two firms competing a...
Question 2 The Republic of Ruritania's demand for Brawndo is supplied by two firms competing a la Cournot. Firm 1 is the domestic firm, and firm 2 is the foreign firm. The inverse demand curve for Brawndo in Ruritania is given by p=1-9 where q is the total quantity of Brawndo supplied. Firm's 1 and 2 each have a constant marginal cost of 0.5 per unit. The Champagne Socialist party of Ruritania (the current ruling party) levies an import tax...
Consider a market with demand function D(p)=10-p and firms with constant marginal cost MC=1. Assume that...
Consider a market with demand function D(p)=10-p and firms with
constant marginal cost MC=1. Assume that there is no fixed cost and
thus C(q1)=q1and C(q2)=q2
2. Suppose the owners of the two firms meet together secretly and agree to form a cartel. They choose a total level of production that maximizes their joint profits. They agree to split production and thus profits) equally (a) Suppose that both firms abide by their secret agreement. How much will each firm produce? What...
(16 points) Cournot Duopoly. Market demand is p(Q) = 50 – 4Q, where Q = 4+...
(16 points) Cournot Duopoly. Market demand is p(Q) = 50 – 4Q, where Q = 4+ 42. Firm 1's cost function is C (91) = 0, and firm 2 has a cost function C2(92) = 1092- The two firms engage in Cournot competition; they simultaneously choose a quantity and the price adjusts so that the market clears. (a) Formally write firm 1's profit maximization problem (b) Find firm l's best response function. (c) Take as given that firm 2's best...
Exercise 5: Two firms compete in a centralized market by choosing quantity produced (91,92) simultaneously. Aggregate production determines price, according to the following inverse demand function: p = [85 - 2 (91 +92)]. Firm l's total costs of production) are TC = 541. Firm 2's total costs are TC2 = 1592 a. Graph the combination of quantities (91,92) that yield the following profits: 11 (91.42) = T12 (91,92) = 450 ; 11 (41,42) = 500 ; 200; 12 (91,92) =...
7. Consider an asymmetric Cournot duopoly game, where the two firms have different costs of production. Firm 1 selects quantity qı at a pro- duction cost of 291. Firm 2 selects quantity 92 and pays the produc- tion cost 492. The market price is given by p = 12 – 91 - 92. Thus, the payoff functions are u(91,92) = (12 – 91 - 92.91 – 291 and uz(9192) = (12 – 91 - 92)92 – 492. Calculate the firms'...
2. Consider a Cournot dupoly, but assume that demand is p(q) = 12 – 9 (ignoring non-negativity) and and unit cost c= 3. Again, firms simultaneously pick quantities qı > 0 and q2 > 0 and the price is set to clear the market given the quantities chosen. 1. Write down the optimization problems that define the best responses, solve explicitly for the best response functions, and find all Nash equilibria. 2. Formulate the problem for a cartel that maximizes...
3. (35 points Suppose that there are K( 3) firms operate in a market with demand function given by P(Q) = 100-Q, where Q=91 +92 + ... +2K, and qi is the quantity produced by firm i. Each firm has a constant marginal cost of production, c = 10, and no fixed cost. The firms choose their quantities dynamically as follows: Firm 1, which is the industry leader, chooses qı € (0, 100). All other firms i = 2,..., K...
3. There are two firms that compete according to Cournot competition. Firm 1 has a cost function G(91) = 5.59+12. Firm 2 has a cost function C(q2) = 2.5q3 + 18. These firms cannot discriminate, so there is just one price that is determined by the aggregate demand. The inverse demand equation is P(Q) = 600 – 0 Where total supply Q-q1+92. (e) Use your best response equations to mathematically solve for the equilibrium quantities qi 9, Q". equilibrium price...
Two profit-maximizing firms compete in a market. Firm 1 chooses quantity qı > 0 and Firm 2 chooses quantity 42 > 0. The market price is: p(91,92) = 8 - 2q1 - 42. The cost to Firm 1 of producing qi is C1 = 41. The cost to Firm 2 of producing 92 is C2 = 42 + 42. a.) * Calculate the best-response function for each firm. b.) Suppose the two firms choose their quantities simultaneously. What is the...
1. (25 points) Consider two firms, 1 and 2, producing an identical good simul taneously. This good has market demand given by the demand function y (12 p)/3, where p is price, and y yi y2 is market quantity. yi represents the amount produced by firm i. Suppose production cost is 2yi1 for each firms (a) Solve algebraically for these firms' reaction functions, expressing each firm's optimal output level given the level of its competitor's out- put.(5 pts) (b) Graph...
Question 2 The Republic of Ruritania's demand for Brawndo is supplied by two firms competing a la Cournot. Firm 1 is the domestic firm, and firm 2 is the foreign firm. The inverse demand curve for Brawndo in Ruritania is given by p=1-9 where q is the total quantity of Brawndo supplied. Firm's 1 and 2 each have a constant marginal cost of 0.5 per unit. The Champagne Socialist party of Ruritania (the current ruling party) levies an import tax...
Consider a market with demand function D(p)=10-p and firms with
constant marginal cost MC=1. Assume that there is no fixed cost and
thus C(q1)=q1and C(q2)=q2
2. Suppose the owners of the two firms meet together secretly and agree to form a cartel. They choose a total level of production that maximizes their joint profits. They agree to split production and thus profits) equally (a) Suppose that both firms abide by their secret agreement. How much will each firm produce? What...
(16 points) Cournot Duopoly. Market demand is p(Q) = 50 – 4Q, where Q = 4+ 42. Firm 1's cost function is C (91) = 0, and firm 2 has a cost function C2(92) = 1092- The two firms engage in Cournot competition; they simultaneously choose a quantity and the price adjusts so that the market clears. (a) Formally write firm 1's profit maximization problem (b) Find firm l's best response function. (c) Take as given that firm 2's best...
Most questions answered within 3 hours.
-
At the start of a CD it is spinning at a rate of 525 rpm
(revolutions...
asked 11 minutes ago -
4. Without doing any calculations, predict whether the observed
∆T would increase, decrease or remain the...
asked 1 hour ago -
Based on the range, which of the following sets of scores has
the greatest variability? 3,...
asked 2 hours ago -
Ripples in a pond travel at a velocity of 3 m/s with one peak
passing a...
asked 2 hours ago -
A man stands on the roof of a building of height 13.0 mm and
throws a...
asked 2 hours ago -
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 3 hours ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 3 hours ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 3 hours ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 3 hours ago -
Michaella, age 23, is a full-time law student and is claimed by
her parents as a...
asked 3 hours ago -
Why are polymers not typically casted into products?
asked 4 hours ago -
When rolling a die 129 times, what is the probability of rolling
a 6 no more...
asked 4 hours ago