In Children’s Hospital in Seattle there are on average 98 births per week. Mothers and babies stay, on average, three days before they leave the hospital. In Swedish hospital (also in Seattle), the average number of births per week is 227. Mothers and children stay in the hospital three days on average.
a. How many new mothers are staying in Children’s Hospital?
b. How many new mothers are staying in Swedish Hospital?

Each of the four independent situations below describes a sales-type lease in which annual lease payments of $12,500 are payable at the beginning of each year. each is a finance lease for the lessee. (fv of $1, pv of $1, fva of $1, pva of $1, fvad of $1 and pvad of $1) (use appropriate factor(s) from the tables provided.) situation 1 2 3 4 lease term (years) 3 3 3 3 asset’s useful life (years) 3 4 4 6 lessor’s implicit rate (known by lessee) 14 % 14 % 14 % 14 % residual value: guaranteed by lessee 0 $ 5,000 $ 2,500 0 unguaranteed 0 0 $ 2,500 $ 5,000 purchase option: after (years) none 2 3 3 exercise price n/a $ 7,500 $ 1,500 $ 3,500 reasonably certain? n/a no no yes

3. saving two consumers, larry and jeff, have utility functions defined over the two periods of their lives: middle age (period zero) and retirement (period 1). they have the same income in period 0 of m dollars and they will not earn income in period 1. the interest rate they face is r. larry’s and jeff’s utility functions are as follow. = 0.5 + 0.5 and = 0.5 + 0.5 for each person is between zero and one and represents each consumer’s temporal discount econ 340: intermediate microeconomics. ben van kammen: purdue university. rate. a. write the budget constraint that applies to both jeff and larry in terms of consumption in each period and ), interest rate, and m. b. what is larry’s and what is jeff’s marginal rate of intertemporal substitution? c. what is the slope of the budget constraint? d. write each consumer’s condition for lifetime utility maximization. e. re-arrange the conditions from part (d) to solve for the ratio, . f. if > which consumer will save more of his middle age income? g. if > 1 1+ , in which period will larry consume more: = 0 or = 1?

Suppose that fixed costs for a firm in the automobile industry (start-up costs of factories, capital equipment, and so on) are $5 billion and that variable costs are equal to $17,000 per finished automobile. because more firms increase competition in the market, the market price falls as more firms enter an automobile market, or specifically, , where n represents the number of firms in a market. assume that the initial size of the u.s. and the european automobile markets are 300 million and 533 million people, respectively.a. calculate the equilibrium number of firms in the u.s. and european automobile markets without trade.b. what is the equilibrium price of automobiles in the united states and europe if the automobile industry is closed to foreign trade? c. now suppose that the united states decides on free trade in automobiles with europe. the trade agreement with the europeans adds 533 million consumers to the automobile market, in addition to the 300 million in the united states. how many automobile firms will there be in the united states and europe combined? what will be the new equilibrium price of automobiles? d. why are prices in the united states different in (c) and (b)? are consumers better off with free trade? in what ways?