Ram Roy's firm has developed the following supply, demand, cost, and inventory data. Supply Available Period 1 2 3 Regular Time 40 35 30 Overtime 15 15 20 Subcontract 10 10 10 30 units $100 $150 $250 $6 Demand Forecast 50 65 50 Initial inventory Regular-time cost per unit Overtime cost per unit. Subcontract cost per unit Carrying cost per unit per month Assume that the initial inventory has no holding cost in the first period and backorders are not permitted. Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $ (enter your response as a whole number).
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- In Problem 12 of the previous section, suppose that the demand for cars is normally distributed with mean 100 and standard deviation 15. Use @RISK to determine the best order quantityin this case, the one with the largest mean profit. Using the statistics and/or graphs from @RISK, discuss whether this order quantity would be considered best by the car dealer. (The point is that a decision maker can use more than just mean profit in making a decision.)Explain what is the definition of a deterministic inventory model ? When is it appropriate to use ?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?
- The following particulars were collected for the year 2015 from Need LLCMonthly demand -2,000 unitsCost of placing an order RO 225.Annual carrying cost per unit 8%Purchase price of input unit RO 350Minimum usage 30 units per weekMaximum usage 50 units per weekRe-order period 6 to 8 weeks.For emergency purchase 4 weeks Required:(a) Re-order quantity(b) Re-order level(c) Minimum level(d) Maximum level(e) Average Stock Level(f) Danger levelAAA 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 e. Which alternative should be chosen based on the minimax regret criterion? f. Which alternative should be chosen using the expected monetary value (EMV) criterion? g. What is the expected value under perfect information (EVPI)? Show WorkAAA 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…
- BicycleBro is a retailer that sells bicycles. The company had been operating for 30 days (1 month). By the end of 1 month it wants to measure its performance in terms of Inventory turnover and Days of inventory. Below is the information that the company has collected from its warehouse and accounting department Stock Count Sheet Item code Stock on hand Stock count week (week number when employees counted the stock on hand) 100 30 week1 200 10 week1 100 10 week3 200 20 week3 Inventory valuation Item code Value per unit (in $) 100 1000 200 2000 Bicycles sold by end of month Item code Units sold 100 5 200 10 Given the information above find What is the total inventory turnover rate for given period? What is the total Inventory Days of Sales for given period?The Frist Corporation has the followinginternal controls related to inventory:1. Only authorized inventory warehousing personnel are allowed in inventory storageareas.2. All inventory products are stored in warehousing areas that are segregated fromother storage areas used to house equipment and supplies.3. All inventory held on consignment at Frist Corporation is stored in a separatearea of the warehouse.4. The inventory purchasing system only allows purchases from pre-approved vendors.5. The perpetual inventory system tracks the average number of days each inventoryproduct number has been in the warehouse.6. Microchips are embedded in each product and when inventory items are removedfrom the warehouse to shipping, radio-frequencies signal a deduction of inventoryto the perpetual inventory system.7. On a weekly basis, inventory accounting personnel take samples of inventoryproducts selected from the perpetual inventory system and verify that the inventoryis on-hand in the warehouse…Suppose this information is available for PepsiCo, Inc. for 2015, 2016, and 2017. (in millions) 2015 2016 2017 Beginning inventory $ 2,100 $ 2,400 $ 2,300 Ending inventory 2,400 2,300 2,700 Cost of goods sold 18,227 20,071 20,478 Sales revenue 39,145 42,957 44,066 Calculate the days in inventory for PepsiCo, Inc. for 2015, 2016, and 2017. (Round days in inventory to 1 decimal place, e.g. 5.1.) 2015 2016 2017 Days in inventory days
- Exercise 14: • __________is an inventory strategy companies employ to increase efficiency and decrease waste by receiving goods only as they are needed in the production process, thereby reducing inventory costs. This method requires producers to forecast demand accurately. • What is its main disadvantage?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…Long last Appliance Store has a demand of 1300 units per month for one of its fast selling portable smoothie machine (model G), it incurs a fixed order placement, transportation and receiving cost of $3000 each time an order is delivered. Each machine cost the company $550 and the company has a holding cost of 12%. The company has two other models of the smoothie machine which are also popular with consumers. Evaluate the company’s inventory management policy if lots for each model are ordered and delivered independently by determining the following: The optimal order size The cycle inventory The number of orders per year The annual ordering and holding cost The total cost of the inventory Briefly state rationale for the approach used for (a-e)