Operations Management
Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 14, Problem 4PA

You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-find spices. Consider your inventory of saffron, a spice (generally) worth more by weight than gold. You order saffron from an overseas supplier with a shipping lead time of four weeks and you order weekly. Average weekly demand is normally distributed with a mean of 40 ounces and a standard deviation of 30 ounces.

  1. a. Suppose it uses an order-up-to level of 301 ounces. What is its expected on-hand inventory? [LO14-2]
  2. b. Suppose it uses an order-up-to level of 250 ounces. What is its expected on-order inventory? [LO14-2]
  3. c. Suppose it uses an order-up-to level of 368 ounces. What is its in-stock probability? [LO14-2]
  4. d. Suppose it wants a .96 in-stock probability. What should its order-up-to level be? [LO14-3]
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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?
Suppose the demand of a product in a retail store is 800 per year and it occurs at a constant rate. Placement of an order of this product to an outside supplier by the store is 40 Dollar. The super market authority has calculated the inventory holding cost per unit per year as 90 cents. Assuming no occurrence of shortages of the product, find i. the minimal number of orders per year. Explain whether the nearest integer number of orders per year is justified. Please answer this part with the explanation part asked in the question.
Answer the given question with a proper explanation and step-by-step solution. An E-commerce firm has four regional fulfillment centers (warehouses). Weekly demand for an item (Product_A) at each warehouse is random and is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000 units per week. Product_A’s unit cost is $10. The inventory holding cost of the company is 25% per year. Assume 50 weeks per year. Each replenishment order from the supplier of Product_A costs $1,000, which includes the costs associated with placing the order, transportation, receiving, inspection, and put-away labor expenses. The replenishment lead time from the supplier is 1 week. The company’s service level goal is 95% (probability of having sufficient inventory to meet demand). On average, how long does a unit of inventory spend in the warehouse before being sold? Hint: Think Little's Law 2.5 weeks 6.6 weeks 5.3 weeks 1.3 weeks
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