Consider the following production function: q equals 8 lk plus 5 upper l squared minus left parenthesis one third right parenthesis upper l cubed . given the following expressions for the marginal productivity of each input: mp subscript upper l baseline equals 8 upper k plus 10 upper l minus upper l squared and mp subscript upper k baseline equals 8 upper l assuming capital is plotted on the vertical axis and labor is plotted on the horizointal axis, determine the value of the marginal rate of technical substitution when k = 30 and l = 10. (round your answer up to two decimal places and include the proper sign.)

Sara is a manager at a restaurant with employees from different cultural backgrounds. which action of sara could employees perceive as an act of favoritism?

The wall street journal reported that walmart stores inc. is planning to lay off 2,300 employees at its sam's club warehouse unit. approximately half of the layoffs will be hourly employees (the wall street journal, january 25-26, 2014). suppose the following data represent the percentage of hourly employees laid off for 15 sam's club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 (a) compute the mean and median percentage of hourly employees being laid off at these stores. (b) compute the first and third quartiles. (c) compute the range and interquartile range. (d) compute the variance and standard deviation. (e) do the data contain any outliers? (f) based on the sample data, does it appear that walmart is meeting its goal for reducing the number of hourly employees?

True or flase? a. new technological developments can us adapt to depleting sources of natural resources. b. research and development funds from the government to private industry never pay off for the country as a whole; they only increase the profits of rich corporations. c. in order for fledgling industries in poor nations to thrive, they must receive protection from foreign trade. d. countries with few natural resources will always be poor. e. as long as real gdp (gross domestic product) grows at a slower rate than the population, per capita real gdp increases.