Tyler Hawes and Piper Albright formed a partnership, investing $210,000 and $70,000, respectively. Determine their participation in the year's net income of $104,000 under each of the following independent assumptions. No agreement concerning division of net income. Divided in the ratio of original capital investment. Interest at the rate of 5% allowed on original investments and the remainder divided in the ratio of 2:3. Salary allowances of $36,000 and $45,000, respectively, and the balance divided equally. Allowance of interest at the rate of 5% on original investments, salary allowances of $36,000 and $45,000, respectively, and the remainder divided equally. HawesAlbright
(a)$$
(b)$$
(c)$$
(d)$$
(e)$$

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?