Ou and a friend are designing and selling artisan smartphone covers. the covers are decorated with tiny manufactured rhinestones. in terms of factors of production, what are the manufactured rhinestones?

Consider an economy where government expenditures are 10 and total tax revenues are 10. the supply of labor is fixed at 125 and the supply of capital is fixed at 8. the economy is described by the following equations. y k to the power of 1 divided by 3 end exponent l to the power of 2 divided by 3 end exponent c 2.5 + 0.75 ( y - t ) i 10 - 0.5 r the level of private savings is

Suppose life expectancy in years (l) is a function of two inputs, health expenditures (h) and nutrition expenditures (n) in hundreds of dollars per year. the production function is upper l equals ch superscript 0.40 baseline upper n superscript 0.60l=ch0.40n0.60. beginning with c = 1, a health input of $400400 per year (hequals=44) and a nutrition input of $400400 per year (nequals=44), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing. the marginal product of health expenditures when h goes from 44 to 55 is nothing, and the marginal product of health when h goes from 66 to 77 is nothing. (round your answers to three decimal places.)

You wish to retire in 13 years, at which time you want to have accumulated enough money to receive an annual annuity of $23,000 for 18 years after retirement. during the period before retirement you can earn 9 percent annually, while after retirement you can earn 11 percent on your money. what annual contributions to the retirement fund will allow you to receive the $23,000 annuity? use appendix c and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods.