The 2018 income statement for Duffy’s Pest Control shows that depreciation expense was $198 million, EBIT was $506 million, and the tax rate was 35 percent. At the beginning of the year, the balance of gross fixed assets was $1,576 million and net operating working capital was $418 million. At the end of the year, gross fixed assets was $1,824 million. Duffy’s free cash flow for the year was $419 million. Calculate the end-of-year balance for net operating working capital. (Enter your answer in millions of dollars rounded to 1 decimal 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?