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 L = cH^0.80 - N^0.20. Beginning with c = 1, a health input of $300 per year (H=3) and a nutrition input of $500 per year (N=5), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing.

Consider the market for gasoline. suppose that, in a competitive market without government regulations, the equilibrium price of gasoline is $3.00 per gallon, and employees at gas stations earn $17.50 per hour. complete the following table by indicating whether each of the statements is an example of a price ceiling or a price floor and whether it results in a shortage or a surplus or has no effect on the price and quantity that prevail in the market. statement price control effect the government has instituted a legal minimum price of $3.40 per gallon for gasoline. the government prohibits gas stations from selling gasoline for more than $3.40 per gallon. due to new regulations, gas stations that would like to pay better wages in order to hire more workers are prohibited from paying more than $14.50 per hour.

Aborrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. the first two years of the loan have a "teaser" rate of 4%, after that, the rate can reset with a 5% annual payment cap. on the reset date, the composite rate is 6%. what would the year 3 monthly payment be?

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