Question

A patent monopolist faces a demand curve: P=10-1/3 Q and total cost F+2Q+2/3 Q^2, where F is non-negative.

i. What is the monopolist’s short-run profit-maximizing output and price? What is his short-run profit per period?

ii. In addition to solving for the profit-maximizing output and price, draw a graph showing the inear demand curve, the marginal revenue and marginal cost curves that demonstrate the situation described above

Answer #1

A monopolist faces a demand curve P= 24 – 2Q, where P is
measured in dollars per unit and Q in thousands of units and MR=24
– 4Q. The monopolist has a constant average cost of $4 per unit and
Marginal cost of $4 per unit. a. Draw the average and marginal
revenue curves and the average and marginal cost curves on a graph.
b. What are the monopolist’s profits-maximizing price and quantity?
c. What is the resulting profit? Calculate...

1) The inverse demand curve a monopoly faces
is
p=110−2Q.
The firm's cost curve is
C(Q)=30+6Q.
What is the profit-maximizing solution?
2) The inverse demand curve a monopoly faces
is
p=10Q-1/2
The firm's cost curve is
C(Q)=5Q.
What is the profit-maximizing solution?
3) Suppose that the inverse demand function for
a monopolist's product is
p = 7 - Q/20
Its cost function is
C = 8 + 14Q - 4Q2 + 2Q3/3
Marginal revenue equals marginal cost when output
equals...

A monopolist faces the following demand curve, marginal
revenue curve, total cost curve and marginal cost curve for its
product: Q = 200 - 2P
MR = 100 - Q
TC = 5Q MC = 5
a. What is the profit maximizing level of output?
b. What is the profit maximizing price? c. How much profit
does the monopolist earn?

A monopolist faces a demand curve given by P = 70 – 2Q where P
is the price of the good and Q is the quantity demanded.The
marginal cost of production is constant and is equal to $6. There
are no fixed costs of production.
A. What quantity should the monopolist produce in order to
maximize profit?
B. What price should the monopolist charge in order to maximize
profit?
C. How much profit will the monopolist make?
D. What is...

Consider a pure monopolist who faces demand Q= 205 - 2P and has
a cost function C(Q) = 2Q.
Solve for the information below, assuming that the monopolist is
maximizing profits.
The monopolist is able to produce at a constant marginal cost of
_________
The monopolist's profit-maximizing level of output is Q* =
______
The monopolist's profit-maximizing price is P* = _________

1. Suppose a monopolist faces the demand for its good or service
equal to Q = 130 - P. The firm's total cost TC = Q2 +
10Q + 100 and its marginal cost MC = 2Q + 10. The firm's profit
maximizing output is
2. Suppose a monopolist faces the demand for its good or service
equal to Q = 130 - P. The firm's total cost TC = Q2 +
10Q + 100 and its marginal cost MC...

Suppose a monopolist faces the following demand curve: P = 750 –
Q.If the long run marginal cost of production is constant and equal
to $30.
a) What is the monopolist’s profit maximizing level of
output?
b) What price will the profit maximizing monopolist charge?
c) How much profit will the monopolist make if she maximizes her
profit?
d) What would be the value of consumer surplus if the market
were perfectly
competitive?
e) What is the value of the...

A monopolist has a cost function given by C(Q)=Q2 and
faces the demand curve p=120-q
a. what is the profit maximizing monopolist output and price
b. what is the consumer surplus ? Monopoly profit?
c. now suppose the monopolist has to follow the narginal cost
pricing policy in other word she has to charge competitive prices
what is her output and price?

1. A monopolist operates in an industry where the demand curve
is given by Q = 1000 ? 2P. The monopolist’s has constant marginal
cost of $8 (and no fixed costs). What is the monopolist’s
profit-maximizing price? How much does the monopolist produce? What
are its profits?

A monopolist faces a demand curve given by P=40-Q, while its
marginal cost is given by MC=4+Q. Its profit maximizing output
is
a. 8 b. 9
c. 10 d.
11 e. 12
why is the answer (e)?

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