Consider a monopolist that produces coal for energy, with demand curve defined by P= 190 - 20 and marginal cost given by MC - 10 + 20. Also, the firm's average total cost is ATC = 100/Q +Q + 10. (Price and costs are in dollars per tonne of coal, while quantity is in thousands of tonnes.) a. Calculate the monopolisť's profit-maximizing quantity, price, and profit. For a monopoly, profit maximization occurs where the marginal revenue equals the marginal cost. b. What would be the competitive output and price if this monopolist operated as a competitive firm? c. Calculate the consumer surplus and producer surplus in this market. For the producer surplus, you must use both the Method by Definition and Variable Cost Method discussed in class, in order to

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider a monopolist that produces coal for energy, with demand curve defined by P = 190 – 20 and
marginal cost given by MC = 10 + 2Q. Also, the firm's average total cost is ATC = 100/Q + Q+ 10. (Price
and costs are in dollars per tonne of coal, while quantity is in thousands of tonnes.)
Calculate the monopolisť's profit-maximizing quantity, price, and profit.
For a monopoly, profit maximization occurs where the marginal revenue equals the marginal cost.
a.
b. What would be the competitive output and price if this monopolist operated as a competitive firm?
c. Calculate the consumer surplus and producer surplus in this market. For the producer surplus, you
must use both the Method by Definition and Variable Cost Method discussed in class, in order to
confirm your answer.
CONSUMER SURPLUS:
CS= (0.5) *b*h
CS= (0.5) *(100-10) *45
CS=$2025
METHOD BY DEFINITION:
PS=(((B+b) *h)/2))
PS= ((100-10) *45/2)
PS=$2025
VARIABLE COST METHOD:
(AVC=Q+10>45+10=55)
PS= L*W
PS= (100-55) *45
PS=$2025
d. Draw a LARGE graph showing completely this monopoly market. In your graph, you must illustrate
all five curves of the market (the Demand, MR, MC, ATC, and AVC curves). Be sure to indicate the
profit-maximizing quantity and price, and the competitive output and price of the monopolist.
Clearly label all curves and values in the diagram.
e. On the graph that you have drawn in part d, clearly mark or shade the two alternative areas
corresponding to the monopolist's producer surplus measured by the two methods used in part c.
Page 1 of 1
254 words
English (Canada)
E3 Focus
+
111%
Transcribed Image Text:AutoSave W- q5 micro OFF Home Insert Draw Design Layout References Mailings Review View Share O Comments Calibri (Bod... v 11 A^ A Аa v AaBbCcDdE AaBbCcDdEe AaBb( AaBbCcDc AaBbCcDdE€ AqBbCcDdEe > Paste A A No Spacing Subtle Emph... Styles Pane Sensitivity v ab X, Subtitle U Normal Heading 1 Heading 2 Title * Office Update To keep up-to-date with security updates, fixes, and improvements, choose Check for Updates. Check for Updates Consider a monopolist that produces coal for energy, with demand curve defined by P = 190 – 20 and marginal cost given by MC = 10 + 2Q. Also, the firm's average total cost is ATC = 100/Q + Q+ 10. (Price and costs are in dollars per tonne of coal, while quantity is in thousands of tonnes.) Calculate the monopolisť's profit-maximizing quantity, price, and profit. For a monopoly, profit maximization occurs where the marginal revenue equals the marginal cost. a. b. What would be the competitive output and price if this monopolist operated as a competitive firm? c. Calculate the consumer surplus and producer surplus in this market. For the producer surplus, you must use both the Method by Definition and Variable Cost Method discussed in class, in order to confirm your answer. CONSUMER SURPLUS: CS= (0.5) *b*h CS= (0.5) *(100-10) *45 CS=$2025 METHOD BY DEFINITION: PS=(((B+b) *h)/2)) PS= ((100-10) *45/2) PS=$2025 VARIABLE COST METHOD: (AVC=Q+10>45+10=55) PS= L*W PS= (100-55) *45 PS=$2025 d. Draw a LARGE graph showing completely this monopoly market. In your graph, you must illustrate all five curves of the market (the Demand, MR, MC, ATC, and AVC curves). Be sure to indicate the profit-maximizing quantity and price, and the competitive output and price of the monopolist. Clearly label all curves and values in the diagram. e. On the graph that you have drawn in part d, clearly mark or shade the two alternative areas corresponding to the monopolist's producer surplus measured by the two methods used in part c. Page 1 of 1 254 words English (Canada) E3 Focus + 111%
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