Computing, Analyzing and Interpreting Residual Operating Income (ROPI) In its 2015 fiscal year annual report, Texas Roadhouse reports net operating income after tax (NOPAT) of $102,495 thousand. As of the beginning of fiscal year 2015 it reports net operating assets of $596,104 thousand. a. Did Texas Roadhouse earn positive residual operating income (ROPI) in 2015 if its weighted average cost of capital (WACC) is 7%? Explain. TXRH earned a negative ROPI because the realized NOPAT exceeds the expected NOPAT. TXRH earned a positive ROPI because the realized NOPAT was less than the expected NOPAT. TXRH earned a positive ROPI because the realized NOPAT exceeds the expected NOPAT. TXRH earned a negative ROPI because the realized NOPAT was less than the expected NOPAT.

Bakery has bought 250 pounds of muffin dough. they want to make waffles or muffins in half-dozen packs out of it. half a dozen of muffins requires 1 lb of dough and a pack of waffles uses 3/4 lb of dough. it take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. how many of each should they make to maximize profit, if they have just 20 hours to do everything?

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?

Choose all that apply. a financially-responsible person has a budget has no plan spends less than they make pays for everything with a credit card saves their money pays bills on time