Agourmet coffee shop in downtown san francisco is open 200 days a year and sells an average of 75 pounds of konacoffee beans a day. (demand can be assumed to be distributed normally, with a standard deviation of 15 pounds per day.)after ordering (fixed cost 5 $16 per order), beans are always shipped from hawaii within exactly 4 days. per-pound annualholding costs for the beans are $3.a) what is the economic order quantity (eoq) for kona coffee beans? b) what are the total annual holding costs of stock for kona coffee beans? c) what are the total annual ordering costs for kona coffee beans? d) assume that management has specified that no more than a 1% risk during stockout is acceptable. what should thereorder point (rop) be? e) what is the safety stock needed to attain a 1% risk of stockout during lead time? f) what is the annual holding cost of maintaining the level of safety stock needed to support a 1% risk? 9) if management specified that a 2% risk of stockout during lead time would be acceptable, would the safety stockholding costs decrease or increase?

Ann chovies, owner of the perfect pasta pizza parlor, uses 20 pounds of pepperoni each day in preparing pizzas. order costs for pepperoni are $10.00 per order, and carrying costs are 4 cents per pound per day. lead time for each order is three days, and the pepperoni itself costs $3.00 per pound. if she were to order 80 pounds of pepperoni at a time, what would be the average inventory level?

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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?