Consider an economy that is described by the solow growth model with the following production function: y = ak^1/3l^1/3. assume there is no population growth or technological progress. suppose the economy starts in steady state. by what proportion will per capita gdp change in the long run in response to each of the following changes?
(a) the saving rate increases by 50%.
(b) an earthquake destroys 75% of the capital stock.
(c) a more generous immigration policy leads the population to double.

You want to have $80,000 in your savings account 11 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. if the account pays 6.30 percent interest, what amount must you deposit each year? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Ahospital purchases a $500,000 magnetic resonance imaging (mri) machine that has a useful life of 9 years. the salvage value at the end of 9 years is $77,000. (a) write a linear equation that describes the value y (in dollars) of the mri machine in terms of the time t (in years), 0 ≤ t ≤ 9. (b) find the value, in dollars, of the machine after 6 years. $ (c) find the time, in years, when the value of the equipment will be $140,000. (round your answer to two decimal places.) yr

Afirm plans to begin production of a new small appliance. the manager must decide whether to purchase the motors for the appliance from a vendor at $10 each or to produce them in-house. either of two processes could be used for in-house production; process a would have an annual fixed cost of $200,000 and a variable cost of $7 per unit, and process b would have an annual fixed cost of $175,000 and a variable cost of $8 per unit. determine the range of annual volume for which each of the alternatives would be best. (round your first answer to the nearest whole number. include the indifference value itself in this answer.)