Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x, y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

By 2020, automobile market analysts expect that the demand for electric autos will increase as buyers become more familiar with the technology. however, the costs of producing electric autos may increase because of higher costs for inputs (e.g., rare earth elements), or they may decrease as the manufacturers learn better assembly methods (i.e., learning by doing). what is the expected impact of these changes on the equilibrium price and quantity for electric autos?

Kinc. has provided the following data for the month of may: inventories: beginning ending work in process $ 17,000 $ 12,000 finished goods $ 46,000 $ 50,000 additional information: direct materials $ 57,000 direct labor cost $ 87,000 manufacturing overhead cost incurred $ 63,000 manufacturing overhead cost applied to work in process $ 61,000 any underapplied or overapplied manufacturing overhead is closed out to cost of goods sold. the adjusted cost of goods sold that appears on the income statement for may is:

In 1948, the president of the united states earned a salary of $75,000. in 2000, the president earned a salary of $400,000. knowing that the cpi for 1948 is 24.1 and the cpi for 2000 is 172.2, convert the 1948 salary to constant 2000 dollars. when comparing constant dollar amounts, whose salary was worth more--harry truman, president in 1948, or bill clinton, president in 2000