An economy has three industries, farming, building, and clothing. For every dollar of food produced, the farmers use $0.07, the builders use $0.16, and the tailors use $0.03. For every dollar of building, the builders use $0.18, the farmers use $0.14, and the tailors use $0.09. For every dollar of clothing produced, the tailors use $0.04, the builders use $0.15, and the farmers use $0.07. If the external demand for food is $210 million, for building is $160 million, and for clothing is $170 million, what should be the total production for each industry

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?