Perfect substitutes almost always have boundary solutions, which are found in a different way than interior optima. The demand functions from perfect substitutes are contingent; specifically, they depend on the slopes of the indifference curves and the budget line. Consider a utility function u(x1,x2)=ax1+bx2 and a general-form budget line p1x1+p2x2=m.

If the absolute value of the slope of the indifference curve, a/b, is greater than the absolute value of the slope of the budget line, p1/p2, the consumer will find it optimal to consume.

1. Choose one:

a. any combination of goods 1 and 2 she can afford.
b. all of good 2 she can afford and none of good 1.
c. a combination of goods 1 and 2 such that exactly half her income is spent on each good.
d. all of good 1 she can afford and none of good 2.

2. In such a case, demand for good 1 is x∗1(p1,p2,m)=x1∗(p1,p2,m)=

a. m/p2
b. m/2p2
c. 0
d. m/p1
e. m/2p1

Sara bought 12 3/4 cakes sara's friends ate 3/8 how much cake is left

The hawthorne works was a large western electric factory with 45,000 employees. during the 1920s and 1930s, hawthorne works was the site of some well-known industrial studies. in one of the studies, researchers investigated the impact of different working conditions on worker productivity. prior to the start of the study, researchers secretly measured workers' productivity for several weeks. then researchers chose two workers, who then chose their own teams. the teams were separated from the general workforce and completed their work in different experiment rooms where the researchers could observe them more easily. over a 5-year period researchers manipulated the structure of the workday for each team (number and duration of breaks and number of hours per shift). for each of these changes in working conditions, the researchers measured the effect on productivity. for some conditions, such as frequent short breaks, workers rebelled by intentionally decreasing productivity.why did the researchers secretly measure the workers' productivity before creating the two treatment groups? a, to create similar treatment groups so that a cause-and-effect relationship could be establishedb, to draw conclusions about the productivity of all workers in the plant based on the test groupsc, to directly control for confounding variablesd, to provide a baseline for measuring worker productivity

Outstanding stock consists of 8,300 shares of cumulative 7% preferred stock with a $10 par value and 4,300 shares of common stock with a $1 par value. during the first three years of operation, the corporation declared and paid the following total cash dividends. year dividend declared 2016 $ 0 2017 $ 7,300 2018 $ 45,000 the amount of dividends paid to preferred and common shareholders in 2018 is: