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Chapter 14, Problem 11P

The Suregrip Tire Company carries a certain type of tire with the following characteristics:

Average annual sales = 600 tires

Ordering cost = $40 per order

Carrying cost = 25 percent per year

Item cost = $50 per tire

Lead time = 4 days

Standard deviation of daily demand = 1 tire

  1. a. Calculate the EOQ.
  2. b. For a Q system of inventory control, calculate the safety stock required for service levels of 85, 90, 95, 97, and 99 percent.
  3. c. Construct a plot of total inventory investment versus service level.
  4. d. What service level would you establish on the basis of the graph in part c? Discuss.
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As the Manager of Branson’s Department Store, you are responsible for ensuring that reorder quantities for the various items have been correctly established. You decide to test one item and choose product Z. A continuous review inventory policy has been used, so you examine this as well as other records and come up with the following data:   Cost per unit $35 Holding cost 20 percent of unit cost Average daily demand 10 units Ordering cost $30 per order Standard deviation of daily demand 3 units Delivery lead time 4 days   Because customers generally do not wait but go elsewhere, you decide on a service probability of 90 percent. Assume that Branson’s Department Store operates 320 days per year. [What is the annual demand (D)? Determine the optimal order quantity, Q*. Determine the reorder point (R) if demand is constant. Determine the reorder point (R) if demand is varies.

Chapter 14 Solutions

OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)

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