A public utility intends to buy a turbine as part of an expansion plan and must now decide on the number of spare parts to order. Onc part, no. X135, can be purchased for $170 each. Carrying and disposal costs are estimated to be 190 percent of the purchase price over the life of the turbine. A stockout would cost roughly $110,000 due to downtime, ordering, and "special purchase" factors. Historical records based on the performance of similar equipment operating under similar conditions suggest that demand for spare parts will tend to approximate a Poisson distribution with a mean of 4.4 parts for the useful life of the turbine. Use Table C. a. What is the optimal number of spares to order? Optimal number of spares b. Carrying no spare parts would be the best strategy for what range of shortage cost? (Round your answer to 2 decimal places.) Shortage cost Cs
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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.Forrest and Dan make boxes of chocolates for which the demand is uncertain. Forrest says, “That’s life.” On the other hand, Dan believes that some demand patterns exist that could be useful for planning the purchase of sugar, chocolate, and shrimp. Forrest insists on placing a surprise chocolatecovered shrimp in some boxes so that “You never know what you’ll get.” Quarterly demand (in boxes of chocolates) for the last 3 years follows: Quarter Year 1 Year 2 Year 3 1 2 3 4 3,000 1,700 900 4,400 3,300 2,100 1,500 5,100 3,502 2,448 1,768 5,882 Total 10,000 12,000 13,600 a. Use intuition and judgment to estimate quarterly demand for the fourth year.b. If the expected sales for chocolates are 14,800 cases for year 4, use the multiplicative seasonal method to prepare a forecast for each quarter of the year. Are any of the quarterly forecasts different from what you thought you would get in part (a)?Consider two products A and B that have identical cost, retail price and demand parameters and the same short selling season. The newsvendor model is used to manage inventory for both products. Product A is to be discontinued at the end of the season this year, and the leftovers will be salvaged at 65% of the cost. Product B will be re-offered next summer, so any leftovers this year can be carried over to the next year while incurring a holding cost on each leftover unit equal to 20% of the product's cost. How do the stocking quantities for these products compare? Multiple Choice Stocking quantity of product A is higher. Stocking quantity of product B is higher. The answer cannot be determined from the data provided. Stocking quantities are equal.
- Daily demand for product EPD101 is normally distributed with a mean of 50 units and a standard deviation of 5. Shipping is usually certain with a lead time of 6 days. The cost of placing an order is $8 and annual carrying costs are 20% of unit price of $1.20. A 95% service level is desired for the customers who place orders during the reorder period. Backorders are not allowed. Once stocks are depleted, orders are filled as soon as stocks arrive. No stockout costs. Assume sales made over the entire year.How much to order and what is the reorder point? What is the cost of carrying safety stocks?.Reorder PointConsider an economic order quantity case where annual demand D = 1,000 units, economic order quantity Q = 200 units, the desired probability of not stocking out P = .95, the standard deviation of demand during lead time σL = 25 units, and lead time L = 15 days. Determine the reorder point. Assume that demand is over a 250-workday year.XYZ’s Hardware is a small family business in Dubai, UAE. The owners, Abdullah and Omar,must use every square foot of store space as profitably as possible. They have never keptdetailed inventory or sales records. As soon as a shipment of goods arrives, the items areimmediately placed on store shelves. Invoices from suppliers are only kept for tax purposes.When an item is sold, the item number and price are rung up at the cash register. The ownersuse their own judgment in identifying items that need to be reordered.a). How could information systems help Abdullah and Omar run their business?b). What data should these systems capture?
- A department store uses a (Q, R) policy to control its inventories. Sales of a pocket FM radioaverage 1.4 radios per week. The radio costs the store $50.00, and fixed costs of replenishmentamount to $20.00. Holding costs are based on a 20 percent annual interest charge, and thestore manager estimates a $12.50 cost of lost profit and loss of goodwill if the radio is demanded when out of stock. Reorder lead time is 2 weeks, and statistical studies have shownthat demand over the lead time is accurately described by a Poisson distribution. Find the optimallot sizes and reorder points for this item.Please do not give solution in image format thanku A company produces sandals in four different patterns for summer. The demand for all four patterns is seasonal and normally distributed. Each of the four patterns has an expected demand of 10,000 pairs with a standard deviation of 4,000 pairs. Currently, all patterns are produced before the start of the season. Production cost is $20 per pair, and they are sold for a wholesale price of $36 per pair. Any unsold sandal at the end of the season is sold at discounted price of $15 per pair. It costs $1 per pair to hold the sandals in inventory for the entire season if it does not sell. The company is considering the postponement of printing the pattern of the sandals. This will require the base sandals to be made in advance (identical for each of the four models) and the final patterns to be printed later. This will increase production cost of sandals to $22. 5 per pair. What is the optimal cycle service level before postponement? (choose…Chris usually sells 120 copies of newspaper each day and believe that sale are normally distributed, with a standard deviation of 15 papers. He pays 70 cents for each paper, which sells $1.25. For each unsold paper, he receives 30-cent credit. a) determine how many papers he should order each day b) calculate the stockout risk for that quantity.
- The purchasing manager for the Atlantic Steel Company must determine a policy for orderingcoal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate,and the firm operates 360 days per year. The purchasing manager has determined that the orderingcost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventoryheld. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton forthe coming year. If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed?A Mercedes dealer pays $40,000 for each car purchased (wholesale price). The annual holding cost is estimated to be 30% of the dollar value of inventory. The dealer sells an average of 1200 cars per year. They believe that demand is backlogged but estimate that if they are short one car for one year, the loss in future profits is about 10% of the wholesale price. Each time the dealer places an order for cars, ordering costs amount to $1600. Assume there are 360 work days per year. Question: If the Mercedes dealer wants to limit backorders so that they occur 20% of the time, what is the maximum number of backorders that should be allowed (assuming the optimal order quantity doesn't change)?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…