• 12.10 Matthew Liotine's Dream Store sells beds and as- sorted supplies. His best-selling bed has an annual demand of 400 units. Ordering cost is $40; holding cost is $5 per unit per year. a) To minimize the total cost, how many units should be ordered each time an order is placed? b) If the holding cost per unit was S6 instead of $5, what would be the optimal order quantity? PX
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Answer 12.10a-b
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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.A distributor of large appliances needs to determine the order quantities and reorderpoints for the various products it carries. The following data refer to a specii c refrigeratorin its product line:Cost to place an orderHolding costCost of refrigeratorAnnual demandStandard deviation of demand during lead timeLead time$10020 percent of product cost per year$500 each500 refrigerators10 refrigerators7 daysConsider an even daily demand and a 365-day year.a. What is the economic order quantity?b. If the distributor wants a 97 percent service probability, what reorder point, R, shouldbe used?Your company makes hand sanitizer in two lines: Moisturizing+, and StandardSoap. On the market, Moisturizing+ retails for $175/L and StandardSoap retails for $95/L. You make the hand sanitizer by combining lotion, soap, and secret ingredient SpecialX. These ingredients are purchased from a mysterious supplier, and you can purchase at most 4000L of lotion, 5000L of soap, and 750L of SpecialX in a month. Lotion costs $25/L, soap costs $10/L, and SpecialX costs $35/L. To make 1L of Moisturizing+, you need to combine 0.5L of lotion, 0.3L of soap, and 0.2L of SpecialX. To make 1L of StandardSoap, you need to combine 0.4L of lotion, 0.55L of soap, and 0.05L of SpecialX. Your company has committed to donating 500L of StandardSoap to a local charity. Since this is a donation, you will not receive any revenue. However, the costs and purchasing limits apply to both the hand sanitizer that is sold on the market and donated to charity. You want to maximize your monthly profit. Assume that…
- A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics:Demand 1D2 = 2,000 units/yearDemand is normally distributedStandard deviation of weekly demand = 3 unitsOrdering cost = $40/orderAnnual holding cost 1H2 = $5/unitsDesired cycle@service level = 90 percentLead time 1L2 = 4 weeksa. If the company uses a periodic review system, what should P and T be? Round P to the nearest week.b. If the company uses a continuous review system, what should R be?A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics:Demand (D) = 2,000 units/yearDemand is normally distributedStandard deviation of weekly demand = 3 unitsOrdering cost = $40/orderAnnual holding cost (H) = $5/unitsDesired cycle-service level = 90 percentLead time (L) = 4 weeksa. If the company uses a periodic review system, what should P and T be? Round P to the nearest week.b. If the company uses a continuous review system, what should R be?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)?
- The following table contains figures on the monthly volume and unit costs for a random sample of 16 items from a list of 2,000 inventory items at a health care facility: Item Unit Cost Usage Item Unit Cost Usage K34 $10 200 F99 20 60 K35 25 600 D45 10 550 K36 36 150 D48 12 110 M10 16 25 D52 15 110 M20 20 80 D57 40 120 Z45 80 200 N08 30 40 F14 20 300 P05 16 500 F95 30 800 P09 10 30 Determine the percentage of items in each category and the annual dollar value for each category for part bHayes electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters as follows: (a) both ordering cost and carrying cost are 10% less that originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.AAA auto supply store sells snow tires which are ordered every Friday to meet next week's demand. The sales price for the most popular size is $50 per tire and its cost for AAA is $35. If too many tires are ordered AAA incurs an inventory carrying cost of $2 per tire. If AAA is out of stock, it forgoes the profits from missed sales. AAA has the option to order 100, 150, or 200 tires to meet next week's demand which can be either 100, 150, or 200 tires.Based on its historical demand distribution, assume that AAA Inc. has determined the followingprobability information: P(100) = 0.4, P(150) = 0.3, and P(200) = 0.3.a. Which alternative should be chosen based on the maximax criterion?b. Which alternative should be chosen based on the maximin criterion?c. Which alternative should be chosen based on the Lapalce criterion?d. Which alternative should be chosen based on criterion of realism with alpha = 0.7?e. Which alternative should be chosen based on the minimax regret criterion?f. Which…
- Geox Ltd buys shoes from a supplier in Italy and sells them on to retailers in Australia. Geox Ltd currently uses an EOQ model to determine the number of shoes to send to order. The annual demand for shoes is approximately 45,600. The ordering cost is $55 per order. The annual cost of physically storing shoes is $8.75 per unit. The insurance on the inventory (shoes) cost is $4.25 per unit. The opportunity cost (annual ROI 25% x $30) is $7.50 per unit. The accountant of Geox Ltd, Richard Branson, recently attended a seminar on Just-in-Time (JIT) and is considering how the ideas of JIT differ from traditional techniques like EOQ and how they may help to manage inventory more efficiently. REQUIRED: A) Use the EOQ model to determine the optimal number of shoes per order. (show calculations) B) If it takes two weeks to receive an order, at what point should Geox Ltd reorder shoes? (show calculations) C) Geox Ltd has determined that demand may vary from the average by up to 25%. To handle…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…Morgan Stokes, a division 3 collegiate volleyball player, wears a lot of athletic apparel such as shorts, yoga pants, tights, and tops. She loves having the latest styles and colors but likes to save money too. Morgan has discovered that she can purchase the top quality brands such as Nike and Under Armour at Academy Sports + Outdoors. The store is not as large as Dick’s Sporting Goods, but Morgan believes the selection, price point, and level of quality is very competitive. She enjoys purchasing name-brand items at 25% to 30% savings compared to Dick’s Sporting Goods. Which of the following best describes Morgan and her selection of Academy as her preferred store for sports apparel? Morgan Stokes, a division 3 collegiate volleyball player, wears a lot of athletic apparel such as shorts, yoga pants, tights, and tops. She loves having the latest styles and colors but likes to save money too. Morgan has discovered that she can purchase the top quality brands such as Nike and…