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- Suppose that capital expenditure varies with time in such a way that t months from now there will be K(t) thousand dollars of capital expenditure,where K(t) =2t^4 + 3t + 149 /t + 2 (a) What will be the capital expenditure 3 months from now? How many units will be produced at this time?The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 40% of the people who do not purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product next month and in 2 months? (a) next month___?___ people (b) in 2 months __?___ peopleSuppose that the production function of a company is given by q = qL^2 · qC and that the amount of labour qL and the amount of capital qC are functions of time t. At time t = 2, we know that qL = 9 andqC =8 and that the growth rateof qL is equal to 2 and the growth rate of qC is equal to 8. Find the growth rate of the production q at that moment.
- No plagrisum and correct answer please. Please do all four parts..Thank You advance Consider two commodities viz. smartphones and travel bags and two countries viz. Bangladesh and South Korea. Suppose the production of both the commodities is fully mechanized using electricity as an input in both the countries. The amount of electricity hours needed to produce one unit of each commodity is a follows: Hours per unit Smart Phones Travel Bags Bangladesh 6 1 South Korea 1 3 The total units of electricity available in Bangladesh is 1000 units while that in South Korea is 2000 units. i. Calculate the opportunity cost of each commodity for each country and explain which country has comparative advantage in production of smartphones ii. If each country decides to distribute its electricity supply in production of each good in equal proportions, what will be the total supply of smartphones and travel bags? iii. If each country decides to allocate its electricity fully in the…Question 2Assume production function is given by:Y= K(1/2) L(1/2)a. Write the production function in per worker terms (y=f(k))b. Assume that the per worker level of capital in the steady state is 4, the depreciation rate is 5% per year, and population growth is 5% per year. Does this economy have “too much” or “too little” capital? How do you know? [Show your work].Logarithms are especially useful for comparing series with two divergent scales since 10 percent growth always looks the same, regardless of the starting level. When absolute levels matter, the raw data are more appropriate, but when growth rates are whats important, log scales are better.
- A mathematical approximation called t he rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. Thus, if Mexico’s real GDP per person is growing at 7 percent per year, it will take about 10 years (= 70 / 7) to double. Apply the rule of 70 to solve the following problem. Real GDP per person in Mexico in 2005 was about $11,000 per person, while it was about $44,000 per person in the United States. If real GDP per person in Mexico grows at the rate of 5 percent per year, about how long will it take Mexico’s real GDP per person to reach the level that the United States was at in 2005? (Hint: How many times would Mexico’s 2005 real GDP per person have to double to reach the United States’ 2005 real GDP per person?)If in a given situation, Px = 150, Pm = 180 Zx = 160 , and , then which of the following will be the value of Single Factorial Terms of Trade (Ts) ?Consider an economy’s production function is Y=K^1/3 N^2/3 and that both the saving rate and the depreciation rate are equal to 0.15. A. What is the steady-state level of capital per worker? B. What is the steady-state level of output per worker? Now suppose that the economy has reached its steady-state in period t, and then, in period t+1, the saving rate doubles to 0.30. The depreciation rate remains constant at 0.15. C. Solve for the new steady-state levels of capital per worker and output per worker. D. Calculate the path of capital per worker and output per worker over the first three periods after the change in the saving rate.
- let I(t) be the rate of investment. The total of capital accumulation Kduring the time interval [a,b] can be estimated by the formula in the picture, then calculate a. Total of capital accumulation between 3rd and 8th years given by rate of investment I(t) = 8√t + 0.5 b. Total of capital accumulation between 1st and 4th years given by rate of investment I(t) = ln tThe economy grows 3.59 percent per year over a 20 year period. 0.67 percent per year is attributed to labor and 1.49 percent per year is attributed to capital. Therefore, enter your response here percent per year must be due to technological progress. (Enter your response rounded to two decimal places.)Suppose that the production function is given by Y=AK0.4N0.6. What is the percentage change in output if TFP declines by 12%? Write the answer in percent terms with up to two decimals (e.g., 10.22 for 10.22%, or 2.33 for 2.33%).