Consider a two-period small open economy without production and a representative household, which lives for two periods. It receives endowments in the first period (Qi) and second period (Q2), respectively. The household inherits no wealth and optimally decides how much to consume in the first period (C1) and second period (C2) as well as international bond holdings (B1) in the first period, which pays the interest rate R. Household preferences are given by U(C1; C2) = log(C1)+log(C2). Explain in THREE sentences the effects of anticipated permanent improvement in terms of trade
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- 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes 1/2 of the food and 1/3 of the manufactured goods. Manufacturing consumes 1/2 of the food and 2/3 of the manufactured goods. Assuming the economy is closed and in equilibrium, find the relative outputs of the farming and manufacturing industries.In the Erlang loss model, system A has 5 servers and an implied utilization of 125 percent,while system B has 15 servers and an implied utilization of 125 percent. Which of thefollowing statements is true?a. System A has the higher utilization because it has fewer servers relative to the potentialdemand.b. The two systems have the same utilization because they have the same implied utilization.c. System B has a higher utilization because the fraction of lost demand is lower in that system.d. More information is needed to determine which system has the higher utilization.Consider a pure exchange economy with two private goods, and two con- sumers denoted A,B whose respective utility functions and initial endowments are: uA(x1A, x2A) = x1A + x2A, uB(x1B,x2B)=1/3 lnx1B+2/3 lnx2B and WA=(2,0), WB= (0,2). Then, a competitive equilibrium allocation is: (a) (x1A, x2A) = (2,2), (x1B, x2B) = (0,0) (b) (x1A, x2A) = (1,1), (x1B, x2B)=(1,1) (c) (x1A, x2A) = (2/3,4/3), (x1B, x2B)=(4/3,2/3) (d) (x1A, x2A) = (4/3,2/3), (x1B, x2B) = (2/3,4/3) (0) none of the previous answers is correct (NOPAC).
- Determine the equilibrium prices of three interdependent commodities that satisfyP1 + 3P2 + 3P3 = 32P1 + 4P2 + 3P3 = 37P1 + 3P2 + 4P3 = 35A private investment club has $200,000 earmarked for investment in stocks. To arrive at anacceptable overall level of risk, the stocks that management is considering have been classifiedinto three categories: high risk, medium risk, and low risk. Management estimates that high-riskstocks will have a rate of return of 15%/year; medium-risk stocks, 10%/year; and low-risk stocks,6%/year. The members have decided that the investment in low-risk stocks should be equal tothe sum of the investments in the stocks of the other two categories. Determine how much theclub should invest in each type of stock if the investment goal is to have a return of$20,000/year on the total investment. (Assume that all the money available for investment isinvested.)Note: Develop the linear system of equations from the above theory and solve the system byGauss Jordon Method.Suppose the inverse market demand function is P = 20 −Q and the total cost function is TC = Q2.1.1. If the market only has one firm, what would be the monopoly output and profit?1.2. If the market has two symmetric firms (each with the total cost function C = Q2), what is the Cournot equilibrium quantity and profit?1.3. If there are two symmetric firms as in 1.2, what level of output for each firm would maximize the total industry profit? Why is this total profit different than in 1.1? Suppose the two firms in 1.3 engage in Cournot competition for just one period. Show that the output levels in 1.3 are not sustainable in a collusion. Suppose the two firms in 1.3. engage in Cournot competition for infinitely many periods. What is the lowest discount factor δ that would sustain the output levels in 1.3 in a collusion using the grim trigger strategy?
- THE PINEAPPLE HARVESTING SEASON IN BACOLOD IS SHORT , AND MOST FARMERS DELIVER THEIR TRUCKLOADS OF PINEAPPLE TO A GIANT CENTRAL STORAGE BIN WITHIN A TWO - WEEK SPAN . BECAUSE OF THIS , PINEAPPLE - FILLED TRUCKS WAITING TO UNLOAD AND RETURN TO THE FIELDS HAVE BEEN KNOWN TO BACK UP FOR A BLOCK AT THE RECEIVING BIN . THE CENTRAL BINJ IS OWNED COOPERATIVELY, AND IT IS TO EVERY FARMER'S BENEFIT TO MAKE THE UNLOADING/STORAGE PROCESS AS EFFICIENT AS POSSIBLE. THE COST OF PINEAPPLE DETERIORATION CAUSED BY UNLOADING DSELAYS AND THE COST OF TRUCK RENTAL AND IDLE DRIVER TIME ARE SIGNIFICANT CONCERNS TO THE COOPERATIVE MEMBERS . ALTHOUGH FARMERS HAVE DIFFICULTY QUANTIFYING CROP DAMAGE, IT IS EASY TO ASSIGN A WAITING AND UNLOADING COST FOR TRUCK AND DRIVER OF P 18 PER HOUR . THE STORAGE BIN IS OPEN AND OPERATED 16 HOURS PER DAY AND 7 DAYS PER WEEK DURING THE HARVEST SEASON AND IS CAPABLE OF UNLOADING , 35 TRUCKS PER HOUR ACCORDING TO AN EXPONENTIAL DISTRIBUTION . FULL TRUCKS ARRIVE ALL…3 A furniture manufacturer produces three types of chairs. Model A requires 1.2 hours of labor and 0.25 hour of machine time. Model B requires 1 hour of labor and 0.2 hour of machine time. Model C requires 0.8 hours of labor and 0.15 hours of machine time. There are 600 labor hours and 200 machine hours available per period. The manufacturer seeks to maximize profit and has determined that profit contributions of each unit of A, B, and C are $20, $15, and $12, respectively. Formulate this problem as a linear program, and find the optimal values of A, B, and C. (Round your answers to the nearest whole number.) A = , B = , C =An advertising firm desires to reach two types of audiences-customers with annual income of more than K40,000 (target audience A) and customers with annual income of less than K40,000 (target audience B). The total advertising budget is K200, 000 . One programme of TV advertising costs K50, 000 while one programme of radio advertising cost K20, 000. Contract conditions ordinarily require that there should be at least 3 programmes on TV and not more than 5 on radio. Survey indicates that one TV programme reaches 750,000 customers in target audience A and 150,000 in target audience B. One radio programme reaches 400,000 customers in target audience A and 260,000 in target audience B. Formulate a linear programming model for this problem Use the simplex method to determine the media mix to maximize the number of customers reached.
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