Question

- Suppose the inverse demand for a monopolist’s product is given by

**P (Q) = 20 –
3Q
(Total marks = 5)**

The monopolist can produce output in two plants. The marginal cost of producing in plant 1 is

**MC _{1} = 20 +
2Q_{1}**

While the marginal cost of producing in plant 2 is

**MC _{2} = 10 +
5Q_{2}**

- How much output should be produced in each plant?

- What price should be charged?

Answer #1

Suppose the inverse demand for a monopolist’s product is given
by
P (Q) = 20 – 3Q
The monopolist can produce output in
two plants. The marginal cost of producing in plant 1 is
MC1 = 20 +
2Q1
While the marginal cost of producing
in plant 2 is
MC2 = 10 +
5Q2
How much output should be produced in each plant?
What price should be charged?

Suppose there is a perfectly competitive industry in Dubai,
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sell their products at 20 AED. The market demand for this product
is given by the equation: (Total marks = 5)
Q = 25 – 0.25P
Furthermore, suppose that a
representative firm’s total cost is given by the equation:
TC = 50 +4Q +
2Q2
What is the inverse demand function for this market?
Calculate the MC function?
Calculate...

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MC2 = 4Q2.
Please explain and show all steps in deriving the answers, thank
you!
a. How much output should be produced in plant 1 in order to
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Multiplant monopoly problem: Assume
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MC1
= 20 +
2Q1
MC2
= 10 +
5Q2
Assume that the
inverse demand curve is P = 500-Q.
What is the
profit maximizing outputs produced in each plant? Show your
work.
What is the
profit maximizing price? Show your work.
What is the
maximum profit?

Multiplant monopoly problem: Assume the firm has two plants
with the following marginal cost functions:
MC1= 20 +
2Q1
MC2= 10 +
5Q2
Assume that the inverse demand curve is P = 500-Q.
What is the maximum profit? Assume total Fixed Costs
for plant 1 (TFC1) = $0 and Total Fixed Costs for plant
2 (TFC2) = $0.

A firm has two plants and wishes to maximize profits. The
marginal cost curves for the two plants are: MC1 =
2Q1 and MC2 = 3Q2. The demand is P
= 100 - .4Q. To maximize profits, how much output should be
produced in plant#1 and plant#2, respectively?
A. Q = 40;10.
B. Q = 10; 40.
C. Q = 20; 30.
D. Q = 30; 20.
E. None of the above.

2. Suppose the demand function for a monopolist’s product is
given by: Q = 80 – 5P (Total marks = 5) and the cost function is
given by C = 30 + 2Q + 0.5Q2 A) What is the inverse demand function
for this monopoly? B) Calculate the MC. C) Calculate the MR. D)
Determine the profit-maximizing price. E) Determine the
profit-maximizing quantity. F) How much profit will the monopolist
make? G) What is the value of the consumer surplus...

Rexburg Technologies operates two plants. The demand
equation for Rexburg's product is P = 38 – 2.5Q, where Q is in
thousands of units. The marginal cost of production in the two
plants are MC1 = 2Q1 and MC2 = 4Q2, respectively. To maximize
profits, Rexburg should charge a price of:
23.00.
$32.50.
$8.00.
$10.75.
None of the options

You are the manager of a firm that produces output in two
plants. The demand for your firm's product is P = 78 − 15Q, where Q
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producing in the two plants are MC1 = 3Q1 and
MC2 = 2Q2.
a. How much output should be produced in plant 1 and plant 2 in
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5: Make the assumption that a monopolist is selling a product
with inverse demand of p = 12 – 0.5q, p = price of the product
while q = quantity of the product,. The monopolist’s marginal and
average cost is 6. (a) Find the profit maximising level of q and p,
and the firm’s profit. Find the profit maximising level of output
and profit if the maximum price that can be charged per unit is (i)
p = 7, (ii)...

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