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Assume that two firms, say firm 1 and firm 2, sell differentiated goods and face the following demand functions:
q1 = 4/3 - 2/3a - 4/3 p1 + 2/3 p2 and q2 = 4/3a - 2/3 + 2/3 p1 - 4/3 p2
where a > 1. In addition assume that the firms target own profit maximization, compete (simultaneously) in quantities and have marginal costs equal to c1 = c2 = c. Assume that 1 > c > or equal to 0. Describing the necessary mathematical steps, and providing the related mathematical intuition,
1. Find the inverse demands faced by the two firms (Hint: Solve the two demands simultaneously with respect to prices.
2. Derive each firm's best response function. Are quantities strategic substitutes or complements.
3. Derive the equilibrium in quantities.
4. Explain the economic meaning of parameter a. What happens to the equilibrium quantities and profits if a increases?
.determine the amount of slack or surplus for each constraint (dont worry about this problem it has been emitted from the homework but if you can help me to understand this I would greatly apprecaite it) suppose the objective function is changed to..
There are three firms in an economy: A, B, and C. Firm A buys $250 worth of goods from firm B and $200 worth of goods from firm C, and produces 200 units of output, which it sells at $5 per unit. Firm B buys $100 worth of goods from firm A and $15..
Assume that a national restaurant firm called BBQ builds 20 new restaurants at a cost of $1 million per restaurant. It outfits each restaurant with an additional $300,000 of equipment and furnishings
What is the percentage increase in production when valued at 2009 prices is ___21.6______percent. Answer to 1 decimal place.2008: Lattes 97/$7 each Cappuccinos 53/$5 each 2009: Lattes 114/$8 each Cappuccinos 69/7$ each
If the price of blue toy cars is $5 and the price of pink toy cars is $2, then which of the following consumers will make the same choices if their income is the same (assuming maximization of income) Gloria, utility is U(b,p) = b^2 * p
There are two invididuals. The first (individual A) has the utility function \(u^{a} = x_{1}^{2} + x_{2}^{2}\) , x>=0, and endowment (1,2). The second (individual B) has utility function \(u_{b} = x_{1} + ax_{2}\) , a>0, x>=0, and..
There is a big gap in the earnings of married women and married men, even if individuals of both sex have the same level of education.
Evaluate the merit or otherwise of the above statement by commenting on the R2 values of the estimated CAPM regressions above.
Simple linear regression predicting the change in performance (in seconds taken to run a race) for 800m runners by the average hours of training undertaken per week during the pre-season.
buy a computer for $2,500 now, keep it for 8 years and then sell it for $800. The computer is not expected to require any maintenance for the first 3 years, but starting in year 4, the maintenance cost will be $250 per year. Alternatively, you can..
Calculate the net private benefits of the project to the foreign-owned company, as a net present value and calculate the net social benefits of the project from the viewpoint of the Australian economy, with the same criterion.
Assume the following about Mushroom Kingdom: there are 16869 gold coins in circulation, nominal GDP is 86722 gold coins, the Central Bank of Mushroom Kingdom increases the number of gold coins in circulation by 2.4% each year, and GDP increases by..
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