The annual demand for a product of XYZ company is 12.000. The cost of ordering this product is CU25 and the holding cost is CU0.5/(piece year). The company in question wishes to follow the "Pending Order" stock policy and the holding cost is CU5/(piece year). The lead time for this product is 2 days and it is worked for 300 days a year. In this case, calculate the economic order quantity, the highest pending order quantity and the highest stock level
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The annual demand for a product of XYZ company is 12.000. The cost of ordering this product is CU25 and the holding cost is CU0.5/(piece year). The company in question wishes to follow the "Pending Order" stock policy and the holding cost is CU5/(piece year). The lead time for this product is 2 days and it is worked for 300 days a year. In this case, calculate the economic order quantity, the highest pending order quantity and the highest stock level
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- A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)d. Which method resulted in the lowest-cost policy for this problem?A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)a. What ordering policy is recommended by the Silver–Meal heuristic?A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)c. What ordering policy is recommended by the least unit cost heuristic?
- A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)b. What ordering policy is recommended by the part period balancing heuristic?Rocky Mountain Tire Centre sells 20,000 tires of a particular type per year. The ordering cost for each order is $40, and the holding cost is 20% of the purchase price of the tires per year. The purchase price is $20. per tire if fewer than 500 tires are ordered, $18. Per tire if more than 500 but fewer than 1,000 tires are ordered and $17. per tire if 1,000 or more tires are ordered. Quantity Unit Price 1-499 $20. 500-999 $18. 1000 & over $17 Based on available information, lead time demand for CD-ROM drives averages 50 units (normally distributed), with a standard deviation of 5 drives. Management wants a 97% service level. What value of Z should be applied? How many drives should be carried as safety stock?The lead time demand for bathing suits is governed bythe discrete random variable shown in Table 11. Thecompany sells an average of 10,400 suits per year. The costof placing an order for bathing suits is $30, and the cost ofholding one bathing suit in inventory for a year is $3. Thestockout cost is $3 per bathing suit. Use marginal analysisto determine the optimal order quantity and the reorderpoint.Lead TimeDemand Probability180 .30190 .30200 .15210 .10220 .15
- A book shop is planning to order calendars for sale starting in October. Only one order is placed. The calendars cost $1.50 and the shop sells them for $3 each. At the end of December, the shop reduces the calendar price to $1 and can sell all the surplus calendars at this price. The October-to-December demand can be approximated by a normal distribution with = 500 calendars and = 120 calendars.1. What inventory model should be used to determine the order quantity to maximize the total expected proÖt? Why?2. What is the optimal service level?3. How many calendars should the shop order so as to maximize the total expected proÖt?A firm experiences demand with a mean of 100 units perday. Lead time demand is normally distributed, with a meanof 1,000 units and a standard deviation of 200 units. It costs$6 to hold one unit for one year. If the firm wants to meet90% of all demand on time, what will be the annual cost ofholding safety stock? (Assume that each order costs $50.)A confectioner buys plastic boxes in bulk and uses them to pack chocolates. The annual requirement of these boxes is 1,200, and each box costs $30. The ordering and carrying costs are $10 per order and 20%, respectively. The supplier from whom the confectioner purchases these boxes sells them only in lots of 25, that is, you only purchase quantities in multiples of 25 boxes. If the supplier offers 2% discount on the cost of each box when the purchases are in quantities of 300 at a time, should the confectioner accept this offer?
- The home appliance department of a large department store is using inventory models to controlthe replenishment of a particular model of Microwave ovens. The daily demand follows anormal distribution with a mean of 150 units and standard deviation of 16 units. The store pays$100 for each oven. Fixed costs of replenishment are $28. The accounting departmentrecommends a 20% annual holding cost rate. Assume that the average lead time is 5 days with astandard deviation of 1 day. Assume 365 days a year.Part A: What is the EOQ?Part B: What is the reorder point if the maximum chance of 5% of stock out (i.e. 95% servicelevel) is desired?Part C: What is the reorder point if a fill rate of 99% is required?Part D: Suppose management wants to simplify the process by setting the reorder point to“1000” units. Based on this policy, what is the implied chance of stock out?Tobacco is shipped from North Carolina to a cigarette manufacturer in Cambodia once a year. The reorder point, without safety stock, is 200 kilos. The carrying cost is $15 per kilo per year, and the cost of a stockout is $70 per kilo per year. Given the following demand probabilities during the lead time, how much safety stock should be carried? Demand During Lead Time (Kilos) Probability 0 0.1 100 0.1 200 0.2 300 0.4 400 0.2 Part 2 The optimal quantity of safety stock which minimizes expected total cost is enter your response here kilos (enter your response as a whole number).ABC firm uses roughly 3,400 pounds of chemical dye a year. Currently, the firm purchases 300 pounds per order and pays P120.00 per pound. The supplier has just announced that orders of 1,000 pounds or more will be filled at a price of P80.00 per pound. The manufacturing firm incurs a cost of P4,000.00 each time it submits an order and assigns an annual holding cost of 17% of the purchase price per pound. a. Determine the order size that will minimize the total cost.b. If the supplier offered the discount at 1,500 pounds instead of 1,000 pounds, what order size would minimize total cost?