Assume that someone has inherited 2,000 bottles of wine from a rich uncle. He or she intends to drink these bottles over the next 40 years. Suppose that this person's utility function for wine is given by u(c(t)) = (c(t))0.5, where c(t) is each instant t consumption of bottles. Assume also this person discounts future consumption at the rate 8 = 0.05. Hence this person's goal is to maximize of40 e-0.05tu(c(t))dt = 0/40 e-0.05t(c(t))0.5dt. Let x(t) represent the number of bottle of wine remaining at time t, constrained by x(0) = 2,000, x(40) = 0 and dx(t)/dt = c(t): the stock of remaining bottles at each instant t is decreased by the consumption of bottles at instant t. The current value Hamiltonian expression yields: H=e-0.05t(c(t))0.5 + XA(- c(t)) + x(t) (dλ/dt). This person's wine consumption decreases at a continuous rate of 15.60 percent per year. The number of bottles being consumed in the 30th year is

Ten years ago, Ginny inherited $50,000 from her grandmother. She decided to invest all of this money in GE stock. Suppose she decides to sell the stock today so she can purchase her first home. The sale price of the stock is $64,500. Suppose that at the beginning of the ten year period the Consumer Price Index (CPI) was 125 and today the CPI is 215. Use this information to determine the difference between the initial investment in today's dollars and the sale price.

Give an example of a good or service that has increased in price since the time when you were young. Describe the good or service and tell us what price the good cost when you were young compared to today. Calculate the percentage change in price (the inflation rate for the good in question) over the time period you are describing.

Hanna, who is a 5-year-old girl, eats nothing but pasta, yogurt, and lemonade. Each month her parents buy 32 pounds of pasta, 79 packages of yogurt, and 22 bottles of lemonade. Hanna's parents have recorded the prices per unit of pasta, yogurt, and lemonade for the last four months, as shown in the table below. Hanna's Meals Month Pasta (dollars per pound) Yogurt (dollars per package) Lemonade (dollars per bottle) January $1.83 $1.14 $2.58 February 1.90 1.04 2.35 March 2.07 0.95 2.54 April 2.26 1.04 2.77 Instructions: Round your answers to two decimal places. a. Compute the total monthly cost of Hanna's meals and indicate whether inflation, deflation (negative inflation), or no inflation occurred during these months. In January, the total monthly cost was $. In February, the total monthly cost was $ and (Click to select). In March, the total monthly cost was $ and (Click to select). In April, the total monthly cost was $ and (Click to select). b. If Hanna's parents want to buy the same…

Give an analysis of Elephant Chart by Branko Milanovic.

Search for the “World Economic Outlook Database” on the internet and locate the most recent version. Use this database to select inflation data (units of percentage change) for Germany, Japan, and the United States for the period 1990 to 2010. Construct a table of annual inflation rates for these countries. Now construct a graph using annual inflation rates on the vertical axis and the year on the horizontal axis. Plot the annual inflation rates from your table in three separate lines on the same graph. How would you compare the experiences of these three countries based on your graph?  

The nominal interest rate is equal to the real interest rate plus

Problem: Imagine you have two competing athletes who have the option to use an illegal and dangerous drug to enhance their performance (i.e., dope). If neither athlete dopes, then neither gain an advantage. If only one dopes, then that athlete gains a massive advantage over their competitor, reduced by the medical and legal risks of doping (the athletes believe the advantage over their competitor outweighs the risks from doping ). However, if both athletes dope, the advantages cancel out, and only the risks remain, putting them both in a worse position than if neither had been doping. What outcome do we expect from these two athletes?   Please use ideas like concepts of monopolies, Oligopolies and Game Theory and Factor markets for this scenario.

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Give typing answer with explanation and conclusion