Question 1
Suppose we have a market for natural gas characterized by the chart above. Assume the following
functional forms for the supply and demand curves:
π·π·: πππ·π· = 100 β πππ·π·
ππ: ππππ = 25 + 0.5ππππ
1. What is the equilibrium price and quantity under a competitive model (round to the nearest
integer)?
2. Now suppose that there is only one provider of natural gas in this market. What is the functional
form for the Monopolistβs Marginal Revenue curve (HINT: The slope is twice as negative)? Draw
this curve on the chart above.
3. Calculate the quantity and price charged by this Monopoly.
4. Calculate the deadweight loss, producer surplus, and consumer surplus in both the competitive
and Monopoly case.
5. Now suppose the government implements a price control, setting the maximum price charged
to be $55. Calculate the new quantity produced by the monopolist.
6. At the price control, calculate the deadweight loss, producer surplus, and consumer surplus.
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Question 2
Suppose we have an electricity market where there are two potential suppliers of electricity. The market
is characterized by the following demand curve:
π·π·: πππ·π· = 60 β 2ππ
ππ = ππ1 + ππ2
The firms both have the same zero marginal costs:
πππΆπΆ1 = πππΆπΆ2 = 0
1. Using the Cournot Duopoly model, calculate the reaction curves for the two firms. Graph the
curves.
2. Using the reaction curves, calculate the profit maximizing output for each firm. What is the total
output in the market under a duopoly?
3. What is the equilibrium price that will be set in this market?
Question 3
Suppose the market for oil consists of two players: OPEC countries and non-OPEC countries. The market
is characterized by the following demand curves. NOTE: The demand curves are expressed with
quantity as a function of price in this case:
ππππππππππ π·π·π·π·π·π·πππ·π·π·π·: ππππ = 400 β 2ππ
πππππ·π· β πππππππΆπΆ ππππππππππππ:ππππ = β20 + ππ
1. What is OPECβs demand curve expressed with ππππ as a function of ππ? (HINT: Subtract the
quantity equation for non-OPEC countries from the total demand equation).
2. What is OPECβs marginal revenue curve? (HINT: Solve the demand curve in Part 1 above for P
and then solve for Marginal Revenue as you would for a Monopoly).
3. What is the profit maximizing quantity for OPEC, assuming it has a constant marginal cost of 20?
4. What is the equilibrium price in this market?
5. What is the quantity produced by Non-OPEC countries? What is the total production from both
OPEC and non-OPEC countries?
Sample Solution
The definition of toxicity
Toxicity is the degree to which a substance (a toxin or poison) can harm humans or animals. Acute toxicity involves harmful effects in an organism through a single or short-term exposure. The dose-response relationship is an essential concept in toxicology. It correlates exposures with changes in body functions or health. In general, the higher the dose, the more severe the response. The dose-response curve is a visual representation of the response rates of a population to a range of doses of a substance. A threshold for toxic effect occurs at the point where the body`s ability to detoxify a xenobiotic or repair toxic injury has been exceeded. Most organs have a reserve capacity such that loss of some organ function does not result in decreased performance. For example, development of cirrhosis in the liver may not result in a clinical effect until over 50% of the organ has been replaced by fibrous tissue.
PEST, PESTLE, STEEPLE etc [Morrison, 2009]. PEST stands for Political, Economic, Social and Technology. The Extended forms of PESTLE have further includes Legal and Environment. Another version of STEEPLE has further extended to include Ethical or Education and some even extended it to STEEPLED which includes demographic. It is important to understand the key drivers of change on these factors and the differential impact of these external influences and drivers have on particular industries of interest [Johnson, Kevan and Richard 2007].
The SWOT analysis concept is originated from SOFT analysis introduced by Albert Humphrey with original goal to study corporate planning. SOFT is the acronyms for Satisfactory, Opportunity, Fault and Threat. Urick and Orr introduce SWOT analysis in 1964 during a seminar in Long Range Planning changing Satisfaction and Fault into Strength and Weakness [Morrison 2009]. Opportunity and Threat are factors external to the organisation, PEST analysis is often perform for this purposes. Strength and Weakness are factor internal to the organisation, it is often done by analysing the organisationβs financial position, product position, marketing capability, research and development capability, organisational structure, human resources, facilities/equipment and past objective and strategy [Thames Business School, P63].
Porterβs five forces are developed by Michael E. Porter during 1979 as a framework to analyse industry and business strategy [Wikipedia, 2008]. The five forces includes threat of new entrants, rivalry among existing firms, threat of a substitute products or services, bargaining power of buyers and bargaining power of suppliers. Freeman recommends a sixth force: Relative power of other stakeholders, being added to Porterβs original five forces [Thames Business School, P61]. This analysis if often uses to evaluate an organisationβs competitive strength and its position in the industry.