A grocer purchases plums for $2.95 per pound and sells them for $4.62 per pound. At the end of the sales cycle, leftover plums are sold for a closeout price of $1.76 per pound. The grocer purchases 10,380 pounds of plums. Expected demand is normally distributed with a mean of 8,304 pounds and a standard deviation of 1,038. Do not round intermediate calculations. Round your answer to two decimal places. What is the grocer's expected profit?
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.Weekly demand for Lego at a Wal-Mart store is normally distributed with a mean of 2,500 boxes and a standard deviation of 500. Demand is assumed to be stationary and the mean demand is used as forecast. Each order costs Wal-Mart $145 and holding cost per box per year is estimated at $1.5. Lead time is 2 weeks and the store manager has decided to review inventory every 4 weeks. (Assume a periodic review policy) a. What is safety stock requirement for a service level of 90%? b. What is the order-up-to level? c. What is the total annual variable cost?Motorama TV estimates the annual demand for its TVsis (and will be in the future) normally distributed, with amean of 6,000 and standard deviation of 2,000. Motorama must determine how much production capacity it shouldhave. The cost of building enough production capacity tomake 1,000 sets per year is $1,000,000 (equivalent in presentvalue terms to a cost of $100,000 per year forever). Exclusiveof the cost of building capacity, each set sold contributes$250 to profits. How much production capacity shouldMotorama have?
- Weekly demand per store for a particular item at The Gap is normally distributed with mean 8 and standard deviation 2. The delivery lead time to each store is 3 weeks. The items cost $27 each and sell for $42. The shipping and administrative costs are $20 per store order. There are 2000 stores across the nation. Assume a 35% annual inventory carrying charge. a) If they choose to stock the item with a 95% service level in every store, how much safety stock must they keep for the item, summed over all the stores? b) Suppose they choose to stock the item in a central location (and pay for overnight shipping to the customers). Assume that demand at the central location will be the sum of demands from all the individual stores. i.How much average safety stock must they hold for that item if they want to provide a 95% service level? ii. Shipping and administrative costs are $100 per order to the central location. What is the percentage savings in average cycle stock for the centralized…13 Pam’s demand for hats is normally distributed with mean 500 and standard deviation 100. She sells her hats for $50 each and buys hats for $10 each, and anything she can't sell by the end of the year, the wholesaler will buy for $5 each. How many hats should she order for next year to maximize profit?The Fast Service Food Mart stocks frozen pizzas in a refrigerated display case. The average daily demand for the pizzas is normally distributed, with a mean of 8 pizzas and a standard deviation of 2.5 pizzas. A vendor for a packaged food distributor checks the market’s inventory of frozen foods every 10 days, and during a particular visit, there were no pizzas in stock. The lead time to receive an order is 3 days. Determine the order size for this order period that will result in a 99% service level. During the vendor’s following visit, there were 5 frozen pizzas in stock. What is the order size for the next order period?
- Cynthia Knott's oyster bar buys fresh Louisiana oystersfor $5 per pound and sells them for $9 per pound. Any oysters notsold that day are sold to her cousin, who has a nearby grocery store,for $2 per pound. Cynthia believes that demand fo llows the normaldistribution, with a mean of I 00 pounds and a standard deviation of15 pounds. How many pounds should she order each day?Production Quantity Model A stew production facility sells the stew in an adjoining store. Demand for the stew is 32 gallons per day. Both the store and production facility operate 310 days per year. The company can produce 128 gallons per day. It costs $1200 to set up a production run. The stew is stored at an annual cost of $20 per gallon. The company wants to use the optimal order quantity. (Round the order quantity to an integer value) What is the maximum inventory level? How many production runs will be required each year? What is the total annual carrying cost? If the store places an order to the production facility for 1000 gallons of stew (not necessarily the economic order quantity), how many gallons of stew will be sold during the order receipt period?You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.25 a copy. You sell a copy of the San Pedro Times for $1.00. Daily demand is distributed normally with mean = 250 and standard deviation = 50. At the end of each morning, any leftover copies are worthless and they go to a recycle bin.a. How many copies of the San Pedro Times should you buy each morning?b. Based on part (a), what is the probability that you will run out of stock?
- John buys goat milk at a cost of $5 per gallon from a local dairy and sells it for $8 per gallon in its store. The dairy will buy back any milk that is unsold at the end of the day for $2 per gallon. Each day John must determine how many gallons to order. Past sales have ranged between 15 and 18 gallons per day, according to the following demand pattern.Demand:15161718Number of days demand occurred:2486Assume that demand will be within this range in future.(a) What are the possible actions and states?(b) Determine the daily profit (rewards) and show on a reward table.(c) Using each of the following criteria, determine John’s best action.- Maximin- Maximax- Expected value(d) Construct the regret (opportunity cost) matrix and using minimax regret criteria determine John’s best action.Cynthia Knott’s oyster bar buys fresh Louisiana oysters for $5 per pound andsells them for $9 per pound. Any oysters not sold that day are sold to her cousin,who has a nearby grocery store, for $2 per pound. Cynthia believes that demandfollows the normal distribution, with a mean of 100 pounds and a standarddeviation of 15 pounds. How many pounds should she order each day?A grocer purchases plums for $2.95 per pound and sells them for $4.62 per pound. At the end of the sales cycle, leftover plums are sold for a closeout price of $1.76 per pound. The grocer purchases 10,380 pounds of plums. Expected demand is normally distributed with a mean of 8,304 pounds and a standard deviation of 1,038. What is the grocer's expected profit?