Question

SCENARIO 3: Consider an industry consisting of two firms producing an identical product. The inverse

market demand equation is P = 100 − 2Q. The total cost equations for firms 1 and 2 are TC1 = 4Q1 and

TC2 = 4Q2, respectively.

Refer to SCENARIO 3. Suppose that the two firms are Cournot rivals. Firm 1 will earn a

profit of:

a. $512.

b. $732.

c. $836.

d. $1,014.

e. None of the above.

Answer #1

Consider an industry consisting of two firms producing an
identical product. The inverse market demand equation is P = 100 −
2Q. The total cost equations for firms 1 and 2 are TC1 = 4Q1 and
TC2 = 4Q2, respectively. Suppose that the two firms are Cournot
rivals. Firm 2 will earn a profit of:
$512.
$732.
$836.
$1,014.
None of the above.

SCENARIO 3: Consider an industry consisting of two firms
producing an identical product. The inverse market demand equation
is P = 100 − 2Q. The total cost equations for firms 1 and 2 are TC1
= 4Q1 and TC2 = 4Q2, respectively.
Refer to SCENARIO 3. Suppose that the two firms are Cournot
rivals. The equilibrium level
of output for firm 1 is:
a. 8.
b. 16.
c. 24.
d. 32.
e. None of the above.

SCENARIO 3: Consider an industry consisting of two firms
producing an identical product. The inverse market demand equation
is P = 100 − 2Q. The total cost equations for firms 1 and 2 are TC1
= 4Q1 and TC2 = 4Q2, respectively.
9. Refer to SCENARIO 3. Suppose that the two firms are Cournot
rivals. Firm 1’s reaction function is:
a. Q1 = 12 − Q2.
b. Q1 = 12 − 0.25Q2.
c. Q1 = 24 − 0.5Q2.
d. Q1...

SCENARIO 3: Consider an industry consisting of two firms
producing an identical product. The inverse market demand equation
is P = 100 − 2Q. The total cost equations for firms 1 and 2 are TC1
= 4Q1 and TC2 = 4Q2, respectively.
Refer to SCENARIO 3. Suppose that the two firms are Bertrand
rivals. The equilibrium level
of output for firm 1 is:
a. 8.
b. 10.
c. 12.
d. 24.
e. None of the above.

SCENARIO 3: Consider an industry consisting of two firms
producing an identical product. The inverse market demand equation
is P = 100 − 2Q. The total cost equations for firms 1 and 2 are TC1
= 4Q1 and TC2 = 4Q2, respectively.
Refer to SCENARIO 3. Firm 1 is the Stackelberg leader and firm 2
is the Stackelberg
follower. The profit of the Stackelberg leader is:
a. $288.
b. $432.
c. $486.
d. $576.
e. None of the above.

SCENARIO 3: Consider an industry consisting of two firms
producing an identical product. The inverse market demand equation
is P = 100 − 2Q. The total cost equations for firms 1 and 2 are TC1
= 4Q1 and TC2 = 4Q2, respectively.
9. Refer to SCENARIO 3. Suppose that the two firms are Cournot
rivals. Firm 1’s reaction function is: a. Q1 = 12 − Q2. b. Q1 = 12
− 0.25Q2. c. Q1 = 24 − 0.5Q2. d. Q1...

Consider an industry consisting of two firms producing an
identical product. The inverse market demand equation is P = 100 −
2Q. The total cost equations for firms 1 and 2 are TC1 = 4Q1 and
TC2 = 4Q2, respectively.
Firm 1 is the Stackelberg leader and firm 2 is the Stackelberg
follower. The output of the Stackelberg follower is:
6.
12.
24.
48.
None of the above.

Consider an industry consisting of two firms producing
an identical product. The inverse market demand equation is P = 100
− 2Q. The total cost equations for firms 1 and 2 are TC1 = 4Q1 and
TC2 = 4Q2, respectively. Firm 1 is the Stackelberg leader and firm
2 is the Stackelberg follower. The profit of the Stackelberg
follower is:
$864.
$576.
$432.
$288.
$1,152.

The geegaw industry consists of two Cournot competitors
producing an identical product. The inverse demand equation is
P=591-4Q.
The total cost equations of the two firms are:
TC_1=15Q_1
TC_2=31Q_2.
a. Determine the total revenue equation for each firm.
b. What is the reaction function of each firm?
c. What is the Cournot-Nash equilibrium level of output?
d. What is the market-determined price of geegaws?
e. Calculate each firm’s total profit.

2. Consider two identical firms in a Cournot competition. The
market demand is P = a – bQ. TC1 = cq1 = TC2 = cq2 . a. Find the
profit function of firm 1. b. Maximize the profit function to find
the reaction function of firm 1. c. Solve for the Cournot-Nash
Equilibrium. d. Carefully discuss how the slope of the demand curve
affects outputs and price.

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