Looking for cost savings in administrative areas, the vice-president for human resources at McMahon Corporation asked his assistant to collect data on the employee cafeterias in the four McMahon locations around the country. After two days, the assistant returned with the following data for the previous year. Mobile Pecos Spokane Lansing Labor-hours 35,000 55,000 22,500 5,250 Meals served 114,000 216,000 74,000 13,500 Required: a. Compute the partial productivity measures for labor for the four locations. (

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?