Managers lead in a wide variety of situations and organizations and have various kinds of subordinates performing diverse tasks in a multiplicity of environmental contexts. Given the wide variety of situations in which leadership occurs, what makes a manager an effective leader in one situation (such as certain traits or behaviors) is not necessarily what that manager needs to be equally effective in a different situation. Contingency models of leadership take into account the situation or context within which leadership occurs. According to contingency models, whether or not a manager is an effective leader is the result of the interplay between what the manager is like, what he or she does, and the situation in which leadership takes place.

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?