Exam 14: Inventory Models
Inventory models in which the rate of demand is constant are called
B
For the single-period inventory model with probabilistic demand,an order quantity smaller than the median demand is recommended when
B
What could be meant by service level? Why is a clear understanding of this term important?
Service level refers to the level of service that a company or organization is committed to providing to its customers or clients. This can include factors such as response time, resolution time, and overall quality of service. It is important to have a clear understanding of this term because it sets expectations for both the company and its customers. By clearly defining the service level, the company can ensure that it is meeting its commitments and providing a high level of service. This can lead to increased customer satisfaction, loyalty, and ultimately, business success. On the other hand, if there is a lack of clarity or understanding around service level, it can lead to misunderstandings, dissatisfaction, and potentially loss of business. Therefore, having a clear understanding of service level is crucial for both the company and its customers.
Bank Drugs sells Jami Michelle lipstick.The Jami Michelle Company offers a 6% discount on orders of at least 500 tubes,a 10% discount on orders of at least 1,000 tubes,a 12% discount on orders of at least 1,800 tubes and a 15% discount on orders at least 2,500 tubes.
Bank sells an average of 40 tubes of Jami Michelle lipstick weekly.The normal price paid by Bank drugs is $1 per tube.If it costs Bank $30 to place an order,and Bank's annual holding cost rate is 27%,determine the optimal order policy for Bank Drugs.
If an item's per-unit backorder cost is greater than its per-unit holding cost,no intentional shortage should be planned.
A gourmet food store uses a one-week periodic review system for its supply of coffee beans.There is a five-day lead time for orders,and the store will allow two stockouts per year.
a.What is the probability of a stockout associated with each replenishment decision?
b.What is the replenishment level if demand during the review and lead-time periods is normally distributed with mean 120 pounds and standard deviation 8 pounds?
c.How many pounds of beans should be ordered if there are 42 pounds of beans on hand?
Kellam Images prints snack food bags on long rolls of plastic film.The plant operates 250 days a year.The daily production rate is 6000 bags,and the daily demand is 3500 bags.The cost to set up the design for printing is $300.The holding cost is estimated at 2 cents per bag.
a.What is the recommended production lot size?
b.If there is a five-day lead time to set up the line, what is the recommended reorder point?
Demand for a popular athletic shoe is nearly constant at 800 pairs per week for a regional division of a national retailer.The cost per pair is $54.It costs $72 to place an order,and annual holding costs are charged at 22% of the cost per unit.The lead time is two weeks.
a.What is the EOQ?
b.What is the reorder point?
c.What is the cycle time?
d.What is the total annual cost?
At the optimal order quantity for the quantity discount model,the sum of the annual holding and ordering costs is minimized.
For the periodic review inventory model presented in the textbook,it is assumed that a special replenishment order will be placed in the event of a stockout between review points.
When demand is independent,it is not related to demand for other components or items produced by the firm.
Daily demand for packages of five videotapes at a warehouse store is found to be normally distributed with mean 50 and standard deviation 5.When the store orders more tapes,the ordering cost is $42 and the orders take 4 days to arrive.Each pack of tapes costs $7.20 and there is a 24% annual holding cost for inventory.Assume the store is open 360 days a year.
a.What is the EOQ?
b.If the store wants the probability of stocking out to be no more than 5%, and demand each day is independent of the day before, what reorder point should be set?
c.How much of your reorder point in part b) is safety stock?
The Tiernan Gallery and Art Museum distributes to its visitors a printed guide to its collections.There are about 18000 visitors per year.Holding costs for the brochures are 20% and it costs $30 to place an order with the printer.The printer has offered the following discount schedule: Category Order Size Unit Cost 1 0-1499 \ 2.50 2 1500-2999 \ 2.20 3 3000 and over \ 1.80 How many brochures should be printed at a time?
If the optimal production lot size decreases,average inventory increases.
In the single-period inventory model with probabilistic demand,
In the periodic review model,the order quantity at each review period must be sufficient to cover demand for the review period plus the demand for the following lead time.
If lead time is longer than the review period,the order quantity at any review point is the amount needed for the inventory on hand plus all outstanding orders needed to reach the replenishment level.
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