Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 11, Problem 4CQ
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To explain: The relationship between average inventory and the in-stock probability.
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For 25 percent of the products in a category, a firm fails to satisfy all demand during the month.
What is its in-stock probability?
%
What is the relationship between the average inventory and the in-stock probability?a. The more the inventory, the lower the in-stock probability.b. There isn’t a definitive relationship—more inventory could mean a lower or a higherin-stock probability.c. The more the inventory, the higher the in-stock probability.
What is a normal distribution? What two characteristics define it? Why is it important in determining safety stock?
Chapter 11 Solutions
Operations Management
Ch. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQ
Ch. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Over time, consumers have less of a need for a...Ch. 11 - For 10 percent of the products in a category, a...Ch. 11 - Anvils Works requires, on average, 2800 tons of...Ch. 11 - Prob. 3PACh. 11 - Prob. 1CCh. 11 - Prob. 2CCh. 11 - Rob Honeycutt created Timbuk2 to offer consumers...
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- The chapter presented various approaches for the control of inventory investment. Discuss three additional approaches not included that might involve supply chain managers.arrow_forwardI need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…arrow_forwardA 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/year > Demand is normally distributed > Standard deviation of weekly demand = 2 units > Ordering cost = $30/order > Annual holding cost (H) = $5.00/unit > Desired cycle-service level = 85% > Lead time (L) = 4 weeks Refer to the standard normal table for z-values. a. If the company uses a periodic review system, P should be 3.87 weeks. (Enter your response rounded to the nearest whole number.) T should be units. (Enter your response rounded to the nearest whole number.)arrow_forward
- Weiss’s paint store keeps an inventory of white latex paint product in the gallon size. The manager reviews the stock level every 4 months. Demand is observed to be normally distributed with a monthly mean of 28 gallons and a standard deviation of 8. Re-supply lead time is 2.5 months. The store manager targets a 98 percent in-stock probability during the lead time. • What is the target inventory position?arrow_forwardThe owner and manager of a hardware store reevaluates his inventory policy for hammers. sells an average of 50 hammers a month, so you have placed purchase orders for 50 hammers with a distributor at a cost of $20 each at the end of each month. But the owner does not place all the store orders and find that this takes much of your time. He estimates that the value of his time spent ordering hammers is $75. a) What must be the unit cost of maintaining hammers for the current policy of the hardware store to be Optimal according to the EOQ model? b) If the distributor delivers an order for hammers in 5 business days (out of an average of 25 per month), what should be the reorder point, according to the EOQ model?arrow_forwardDo you think the safety stock (safety inventory) could be negative? What is the meaning of a negative safety inventory (hint: safety stock is the difference between the optimal inventory and the average demand)?arrow_forward
- A company operates for 50 weeks a year and uses a fixed quantity inventory system for one of its most important items. Below are the characteristics for the item: Weekly demand follows normal distribution: mean of 400 units and standard deviation of 100 units Order Cost = $40 per order Annual Holding cost = $2/unit/year Desired service level = 95% (z = 1.645) Lead Time = 4 weeks Economic Order Quantity (EOO) = 894 units Now suppose that the management is considering switching to a fixed time inventory system where the time between orders is 2 weeks. Everything else being the same as the information provided for the original problem, which system (Q or P system) is likely to have more safety stock? Please explain why.arrow_forwardThe appropriate level of safety stock is typically determined by:a) minimizing an expected stockout cost.b) choosing the level of safety stock that assures a givenservice level.c) carrying sufficient safety stock so as to eliminate allstockouts.d) annual demand.arrow_forwardA retailer carries 10,000 items in its store. During the week, there is some demand for 6000 of the items. Among those, there are 100 products for which all of the demand was not satisfied and 400 products for which only some of demand was satisfied. a. What is their in-stock probability for this week?b. What is their stockout probability for this week?arrow_forward
- The Suregrip Tire Company carries a certain type of tire with the following characteristics:Average annual sales = 600 tiresOrdering cost = $40 per orderCarrying cost = 25 percent per yearItem cost = $50 per tireLead time = 4 daysStandard deviation of daily demand = 1 tirea. Calculate the EOQ.b. For a Q system of inventory control, calculate the safety stock required for service levels of 85, 90, 95, 97, and 99 percent. excelc. Construct a plot of total inventory investment versus service level.d. What service level would you establish on the basis of the graph in part c? Discuss.arrow_forwardJam costs $10/jar, requires a 6mo. lead time, and will sell for $35/jar. If you stock out, you'll face a $25/jar loss of goodwill. Placing an order costs $50, and money that is tied up in capital is assumed to have a 20% interest rate for calculating holding costs. During the 6-mo replenishment time, he sells ~100 jars, but with substantial variation. Estimates are a standard deviation of demand during each 6-mo period of 25 jars. Assume demand is described by a normal distribution. How should the Jam be ordered?arrow_forwardAt Matthews Car Repair, customer demand for a certain brand of motor oil is normally distributed with a mean of 15 gallons and a standard deviation of 6 work-days. To be 95% sure that Compact Car Repair will not run out of oil, we should reorder when motor oil in stock is less than _______ gallons. a. 24.9 b. 22.6 c. 23.7 d. 20arrow_forward
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