Concept explainers
A
To calculate: The most ideal amount of imported car mufflers that should be ordered per order and the time gap between each order.
Introduction:In determining the optimal order quantity also known as the economic order quantity, a manufacturing company is able tomaximize its cost efficiency in terms of ordering cost & holding costs. It also helps in effective inventory management to minimize wastage.
b
To calculate:The re-order point based on the level of on-hand inventory
Introduction:The re-order point is the threshold of stock you identify to make the next order. In light of the same, the re-order point makes sure you have adequate time to restock before it reaches zero. This will make sure of the smooth flow of a company’s production cycle.
c
To calculate:The additional holding and set-up costs involved if the company is to buy imported car mufflers only once a year.
Introduction:The advantage of placing an order once a year will depend on the many costs relate to the stock ordered. In the said example, the two costs related the order are holding cost and the set up cost, hence the answer is given based on those two cost factors.
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Production and Operations Analysis, Seventh Edition
- HAL Ltd. produces a line of high-capacity disk drives for computers. The housings for the drives are produced in Hamilton, Ontario at a rate of 250 housings per month, and shipped to the main plant in Toronto. The housings cost HAL $100 each to produce, and the setup cost for beginning a production run is $500. HAL uses the drive housings at a fairly steady rate of 1400 per year. Assume an annual interest rate of 25% for determining the holding cost. What is the optimal number of housings for HAL to produce in each production run? For the optimal production size, what proportion of each production cycle consists of uptime and what proportion consists of downtime? Assuming that HAL produces the optimal number of housings in each production run, what is the maximum on-hand inventory level of these housings? What is the annual cost of holding and setup?arrow_forwardSolve this please theoretically not on excel A detergent manufacturer manages a plant for a major retail. The average monthly demand is 12,000 jugs of detergent. Each jug costs $(1.3) and is sold to the retailer at a wholesale price of $8. The manufacturer and the retailer use an annual holding cost of (29)%. For each order placed, the retailer incurs an ordering cost of $80. Manufacturer incurs the cost of transportation and loading which totals $2,000 per order shipped. a. To minimize its inventory-related costs, what lot size will be the best for the retailer? What is the annual inventory-related cost of the manufacturer and the retailer as a result of this policy? b. What lot size minimizes the inventory-related costs across both the manufacturer and the retailer? How much reduction in cost relative to (a) results from this policy? c. Design an all-unit quantity discount that results in the retailer ordering the quantity in (barrow_forwardAn online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. What is the average inventory held at each warehouse? What is the annual inventory cost (holding + ordering) for Shoe-n-co? On average, how long does a unit of product spend in the warehouse before being sold? .. Little's law, maybe?arrow_forward
- An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. Suppose that Shoe-n-co follows a periodic review policy with a review period of 2 weeks. Recall that the firm has four regional warehouses with demand at each warehouse that is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Further, annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Replenishment lead time is 1 week. The company wants a service level of 95%. Assume 50 working weeks per year. What is the annual…arrow_forwardAn online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. Suppose that Shoe-n-co follows a periodic review policy with a review period of 2 weeks. Recall that the firm has four regional warehouses with demand at each warehouse that is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Further, annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Replenishment lead time is 1 week. The company wants a service level of 95%. Assume 50 working weeks per year. Assuming that each…arrow_forwardAn online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. Assuming that each warehouse operates independently, calculate the ROP parameter of the optimal continuous review policy. Assuming that each warehouse operates independently, calculate the Q parameter of the optimal continuous review policy. How much safety stock does each warehouse have?arrow_forward
- Mike’s Garage, a local automotive service and repair shop, uses oil filters at a fairly steady rate of 2,400 per year. Mike estimates that the cost of his time to make and process an order is about $50. It takes one month for the supplier to deliver the oil filters to the garage, and each one costs Mike $5. Mike uses an annual interest rate of 25 percent to compute his holding cost.a. Determine the optimal number of oil filters that Mike should purchase, and the optimal time between placement of orders.b. Determine the level of on-hand inventory at the time a reorder should be placed.c. Assuming that Mike uses an optimal inventory control policy for oil filters, what is the annual cost of holding and order setup for this item?arrow_forwardA large producer of household products purchases a glyceride used in one of its deodorant soaps from outside of the company. It uses the glyceride at a fairly steady rate of 40 pounds per month, and the company uses a 23 percent annual interest rate to compute holding costs. The chemical can be purchased from two suppliers, A and B. A offers the following all-units discount schedule: (given) whereas B offers the following incremental discount schedule: $1.25 per pound for all orders less than or equal to 700 pounds, and $1.05 per pound for all incremental amounts over 700 pounds. Assume that the cost of order processing for each case is $150. Which supplier should be used?arrow_forwardA company is deciding whether to produce a new gadget at a plant located in a countryclose to consumers at a higher labor cost and shorter lead time or to outsource it to a country with a low labor cost but a longer lead time. All else being equal, which of the following considerations would provide the most support to produce in the high-cost location?a. The holding costs per unit are low.b. Transportation costs per unit per km are low.c. The in-stock probability requirement for the product is high.d. Customers are willing to wait for deliveryarrow_forward
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