Lane Stevens is to retire from the partnership of Stevens and Associates as of March 31, the end of the current fiscal year. After closing the accounts, the capital balances of the partners are as follows: Lane Stevens, $308,000; Cherie Ford, $157,000; and LaMarcus Rollins, $176,000. They have shared net income and net losses in the ratio of 3:2:2. The partners agree that the merchandise inventory should be increased by $28,600, and the allowance for doubtful accounts should be increased by $6,900. Stevens agrees to accept a note for $255,000 in partial settlement of his ownership equity. The remainder of his claim is to be paid in cash. Ford and Rollins are to share equally in the net income or net loss of the new partnership.\

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?