Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 5, Problem 28AP

a.

Summary Introduction

Interpretation: The inventory control model for a highly volatile paint thinner having a shelf life of only 3 months and significant variations in demand pattern is to be determined.

Concept Introduction: This is thecase of a perishable product, ordered in a single period; with variations in demand during the single period. This is a case for application of Newsvendor model. Just as a newspaper becomes useless at the end of the day; the thinner will become useless after three months i.e. the ordering period.

a.

Expert Solution
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Explanation of Solution

  1. In this model, every period starts with zero initial inventory (the previous left over inventory, if any, is unusable.
  2. The demand, though varying, follows a certain probability distribution.
  3. The model mathematically optimizes the ordering quantity to minimize loss due to unsold items at the end of the single period. The model takes into consideration the cost, the selling price and the resulting loss per unit of the item.

B.

Summary Introduction

Interpretation:The inventory control model for a white oil-based paint with an almost regular demand is to be identified.

Concept Introduction: A regular EOQ model (economic order quantity) is available for items with a steady demand and price. Economic order quantity balances the ordering costs v/s the inventory holding costs of the inventory items. This is through a mathematical calculation which takes into account the ordering costs, the holding costs, the annual demand etc.

This model is suitable for non-perishable items with relatively stable demand and regular lead time.

B.

Expert Solution
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Explanation of Solution

  1. All parameters for calculating the EOQ are available (except the holding rate which is normally known).
  2. EOQ model is the right choice.

C.

Summary Introduction

Interpretation:The inventory control model to be used for burnt sienna oil paint, having a variable demand is to be identified.

Concept Introduction: Q, R models with various options are available for items with varying demands. The items are sold during their lifetime.

C.

Expert Solution
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Explanation of Solution

  1. Q, R model with a service level of 2 shall be appropriate for this case.
  2. Service level 2 is suggested because, the chances of a stock out look to be remote.

D.

Summary Introduction

Interpretation:The inventory control model to be used for synthetic paint brushes with a steady demand with good profit margin is to be identified.

Concept Introduction: In this case of a steady demand item (and most probably a small value item-may be a B item), there is the additional offer of a discount for higher quantity orders.

D.

Expert Solution
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Explanation of Solution

  1. A low value item; goes for EOQ model; buy a higher quantity to get discounts.
  2. In fact, since the demand and prices are steady, whole year’s requirement should be procured once.

E.

Summary Introduction

Interpretation:The inventory control model to be used for camel hair brushes with a variable demand, price discounts is to be identified.

Concept Introduction: This again is a low value and low space requiring item andcarrying somewhat extra inventory will not hurt.

E.

Expert Solution
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Explanation of Solution

  1. A low value item; place one yearly order with quantity discounts.
  2. Arrange for staggered 4 or 6 monthly dispatches after review.
  3. The item is not perishable. Even if some extra inventory is held, it would hardly affect.

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Students have asked these similar questions
A perishable dairy product is ordered daily at a particular supermarket. The product, which costs $1.19 per unit, sells for $1.65 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with mean of 150 units and a standard deviation of 30 units. a. What is your recommended daily order quantity for the supermarket? B.How likely the supermarket will experience a stock-out for this dairy product? C.In problems such as these, why would the supplier offer a rebate as high as $1? For example, why not offer a nominal rebate of, say, 25 cents per unit? What happens to the supermarket order quantity as the rebate is reduced?
A store has collected the following information on one of its products:Demand = 4,500 units/year Standard deviation of weekly demand = 12 units Ordering costs = $40/order Holding costs = $3/unit/year Cycle-service level = 90% (z for 90% = 1.28) Lead-time = 2 weeks Number of weeks per year = 52 weeks a. If a firm uses the continuous review system to control the inventory, what would be the order quantity and reorder point?
13 Pam’s demand for hats is normally distributed with mean 500 and standard deviation 100. She sells her hats for $50 each and buys hats for $10 each, and anything she can't sell by the end of the year, the wholesaler will buy for $5 each. How many hats should she order for next year to maximize profit?
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