Explain why a marginal rate of substitution between two goods must equal the ratio of prices of the goods for the consumer to achieve maximum satisfaction. a consumer achieves maximum satisfaction when the marginal rate of substitution is equal to the ratio of prices because
a. otherwise the consumer could trade one good for another at market prices to obtain a higher level of satisfaction.
b. the marginal rate of substitution is equal to the ratio of the goods' marginal utilities when satisfaction is maximized.
c. satisfaction is maximized when an individual consumes an equal amount of all goods.
d. satisfaction is maximized when an individual consumes the same amount of each good as other consumers.
e. the marginal rate of substitution is less than the magnitude of the slope of the indifference curve when satisfaction is maximized.

A) plot the m1 and m2 money stock in the us from 1990-2015. (hint: you may use the data tools provided by fred.) (b) plot the nominal interest rate from 1960 to 2014. (hint: you can either use the daily interest rates for selected u. s. treasury, private money market and capital market instruments from or the effective federal funds rate fromfred.) (c) the consumer price index (cpi) is a measure of the average change over time in the prices paid by urban consumers for a market basket of consumer goods and services. intuitively, the cpi represents the cost of living or the average price level. plot the cpi from 1960 to 2013.(d) the inflation rate is the yearly percentage change in the average price level. in practice, we usually use the percentage change in the cpi to compute the inflation rate. plot the inflation rate from 1960 to 2013.(e) explain the difference between the ex-ante and ex-post real interest rate. use the fisher equation to compute the ex-post real interest rate. plot the nominal interest rate and the ex-post real interest rate from 1960 to 2013 in the same graph.

Awidower devised his fee simple interest in his residence as follows: “to my daughter for life, then to my oldest grandchild who survives her.” at the time of the widower’s death, he was survived by his only two children, a son and a daughter, and by one grandchild, his daughter’s son. a short time later, the daughter together with her son entered into a contract to sell the residence in fee simple to a buyer. the applicable jurisdiction continues to follow the common law rule against perpetuities, but has abrogated the rule in shelley’s case. at the closing, the buyer refused to purchase the residence. can the sellers compel the buyer to do so?

Cash flows during the first year of operations for the harman-kardon consulting company were as follows: cash collected from customers, $385,000; cash paid for rent, $49,000; cash paid to employees for services rendered during the year, $129,000; cash paid for utilities, $59,000. in addition, you determine that customers owed the company $69,000 at the end of the year and no bad debts were anticipated. also, the company owed the gas and electric company $2,900 at year-end, and the rent payment was for a two-year period.