Monopoly with linear inverse demand. Consider a monopolist
facing a linear inverse demand curve p(q)= a- bq, and cost function
C(q)= F + cq, where F denotes its fixed costs and c represents the
monopolist's (constant) magical cost a>c
1. Graph demand, marginal revenue and marginal cost. Label your
graph carefully, including intercepts
2. Solve the profit maximizing output q^m. To do this, first
write down the expression for MR=MC and solve for the optimal
quantity. Next find the price...
If a monopolist faces a linear demand curve, its marginal
revenue curve will cross the quantity axis at the quantity related
to:
a. MR=MC
b. the point of unit elasticity on demand curve
c. the minimum of average total cost
d. the profit maximizing price
Draw a graph for a CwDP firm which faces a demand curve showing
Q=0 at P=$12, and Q=8 at P=$8, a SRMC curve which interests MR at
Q=8, and SRATC=$6 at Q=8. What level of output should this firm
produce? At that output would the firm make a profit, or loss?
How much per unit and in total?
Using the same information from the previous question, assume
the SRATC changes so that at Q=8 the firm incurs a loss of...
Draw your own graph by adding a new AS or AD curve to the graph
above to illustrate the effect of each of the following conditions:
a. The price of crude oil rises significantly. b. Spending on
national defense doubles. c. The costs of imported goods increase.
d. An improvement in technology raises labor productivity.
OutputPriceTotal Cost0$300$25012752602250290322535042005005175680Refer to the demand and cost data for a pure monopolist given in
the table. If the monopolist perfectly price-discriminated and sold
each unit of the product at the maximum price the buyer of that
unit would be willing to pay, and if the monopolist maximized
profits, then the total profit received would be$675.$450.$1,125.$325.
Draw a graph showing the market demand and supply for
beef and the demand for beef produced by one beef
farmer. Make sure that you indicate the market price and
the price received by the beef farmer. Assume that the
beef market is perfectly competitive.
A monopolist is facing the following demand curve P = 50 − 5Q.
The monopolist has the following marginal cost MC = 10. The
monopolist knows exactly the willingness to pay of each individual
consumer and charge consumers individual prices. Calculate the
monopolist’s profit (assuming FC=0).
(a) π=40
(b) π=80
(c) π = 160
(d) None of the above.
Assume a monopolist firm with diminishing marginal product.
Graph the marginal cost curve.
Graph the firm level demand curve.
Graph the firm level marginal revenue curve.
Identify the profit maximizing quantity to produce and the
corresponding price.
What does the price function look like if the monopolist can
engage in perfect price discrimination?
Draw a typical Total Product (TP) curve in one graph.
Right under the graph showing the TP curve, draw a typical
Average Product and Marginal Product curves in another graph; using
the same scales.
On the graphs, show the three stages of production. Justify the
rationale for dividing the production process into the three
stages.
consider a monopolist. Suppose the monopolist faces the
following demand curve: P = 140 – 6Q. Marginal cost of production
is constant and equal to $20, and there are no fixed costs. What is
the monopolist’s profit maximizing level of output?
What is the value of the deadweight loss created by this
monopoly?