Acompany with a number of physically separate plants has a centralized tool room. this tool room in the past has been responsible for emergency repairs. whenever equipment (e. g., a spindle, boring machine, transfer line) in one of these separate plants breaks down, the affected items are brought to the tool room, where they are repaired. in some cases, the breakdowns affect production schedules. in other cases, the breakdowns are more annoying but do not adversely affect schedules. complicating the operations in the tool room is the fact that many of the plans for the equipment are incomplete or out-of-date, thus resulting in "make from sample"; requests (the broken part is provided and the tool room is asked to make the replacement piece just like the broken part). it is difficult to predict what equipment will break down and when. furthermore, the company owns a wide variety of equipment. what are the order winners and order qualifiers in this scenario?

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?