Javier, a sales representative at a company that supplies frozen foods to supermarkets, is required to travel to the stores to meet their managers and view their inventory. after a recent road accident, javier's left hand became severely impaired and only his right hand is functional. javier requests that the company install a one-hand driving system, costing $35,000 to $45,000, in one of its minivans so that he can drive it. based on the size and financial position of the company, this cost is more than it can afford. the employer should convey to javier that:

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?