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    COST MANAGEMENT

    Guan Hansen Mowen

    COPYRIGHT 2009 South-Western Publishing, a division of Cengage Learning.Cengage Learning and South-Western are trademarks used herein under license. 1

    Chapter 21

    Inventory Management: EconomicOrder Quantity, JIT, and the Theoryof Constraints

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    Study Objectives

    1. Describe the just-in-case inventorymanagement model.

    2. Discuss just-in-time (JIT) inventorymanagement.

    3. Explain the basic concepts ofconstrained optimization.

    4. Define the theory of constraints, and tellhow it can be used to manage inventory.

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    3

    Just-in-Case InventoryManagement

    Three types of inventory costs can be readilyidentified with inventory:

    The cost of acquiring inventory.

    The cost of holding inventory. The cost of not having inventory on hand when

    needed.

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    Just-in-Case InventoryManagement

    Ordering Costs: The costs of placing andreceiving an order.

    Examples: Clerical costs, documents, insurance forshipment, and unloading.

    Setup Costs: The costs of preparing equipmentand facilities so they can be used to produce aparticular product or component.

    Examples: Setup labor, lost income (from idledfacilities), and test runs.

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    Just-in-Case InventoryManagement

    Stock-Out Costs: The costs of not havingsufficient inventory.

    Examples: Lost sales, costs of expediting (extra setup,transportation, etc.) and the costs of interruptedproduction.

    Carrying Costs: The costs of carrying inventory.Examples: Insurance, inventory taxes, obsolescence,opportunity cost of capital tied up in inventory, and

    storage.

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    Just-in-Case InventoryManagement

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    Economic Order Quantity

    TC = PD/Q + CQ/2

    Just-in-Case InventoryManagement

    Where

    TC= The total ordering (or setup) and carrying cost

    P= The cost of placing and receiving an order (or thecost of setting up a production run)

    Q= The number of units ordered each time an order isplaced (or the lot size for production)

    D= The known annual demand

    C= The cost of carrying one unit of stock for one year

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    Just-in-Case InventoryManagement

    Economic Order Quantity illustrated

    AssumeP = $40 per orderD = 25,000 units

    C = $2 per unit

    EOQ = 2DP C

    = (2 25,000 50) $2

    = 1,000,000

    = 1,000

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    Just-in-Case InventoryManagement

    Reorder point = rate of usage lead time

    = 4 100 = 400 un its

    An order should be placed when inventory drops to400 units.

    When to Order or Produce

    Example: Assume that the average rate of usage is100 parts per day. Assume also that thelead time is 4 days. What is the reorder

    point?

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    Just-in-Case InventoryManagement

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    Demand Uncertainty and Reordering

    To avoid running out of parts, organizations oftenchoose to carry safety stock (extra inventorycarried to serve as insurance against fluctuations in

    demand).

    Example: If the maximumusage of the VCRpart is 120 units per

    day, the averageusage is 100 unitsper day, and the leadtime is four days, thesafety stock is 80.

    Maximum usage 120Average usage (100)

    Difference 20Lead time 4Safety stock 80

    Just-in-Case InventoryManagement

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    Just-in-Case InventoryManagement

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    JIT Inventory Management

    JIT reduces the costs of acquiring inventory toinsignificant levels by

    Drastically reducing setup time Using long-term contracts for outside purchases

    Carrying costs are reduced to insignificant levelsby reducing inventories to insignificant levels.

    Setup and Carrying Costs: The JIT Approach

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    JIT Inventory Management

    Avoidance of Shutdown: the JIT approach

    Total preventive maintenance

    to reduce machine failures

    Total quality control To reduce defective parts

    The Kanban system

    To control production

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    JIT Inventory Management

    The Kanban systemis responsible forensuring that the necessary products areproduced in the necessary quantities at

    the necessary time. A card system is used to monitor work in

    processA withdrawal Kanban

    A production Kanban

    A vendor Kanban

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    JIT Inventory Management

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    JIT Inventory Management

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    JIT Inventory Management

    Managing discounts and price increases

    Traditional: holding inventories

    JIT: negotiate long-term contracts

    Vendors

    Careful selection; consider more than price

    Close to production facility

    Establish more extensive supplierinvolvement

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    JIT Inventory Management

    JIT Limitations

    Patience in implementation is needed.

    Time is required. JIT may cause lost sales and stressed

    workers.

    Production may be interrupted due to anabsence of inventory.

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    Basic Concepts ofConstrained Optimization

    Every firm faces limited resources andlimited demand for each product.

    External constraints (e.g., market demand)

    Internal constraints (e.g., machine or labortime availability)

    Constrained optimizationis choosing the

    optimal mix given the constraints faced bythe firm.

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    Linear Programming

    Example: Two products, X and Y,provide contributionmargins of $300 and$600, respectively.

    The objective is to

    maximize totalcontribution margin.

    The objective function:Z = $300X + $600Y

    Basic Concepts ofConstrained Optimization

    A method that searches among possible solutions untilthe optimal solution is identified

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    Linear Programming

    Basic Concepts ofConstrained Optimization

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    Basic Concepts ofConstrained Optimization

    Internal cons traints:

    X+Y 80X + 3Y 1202C + Y 90

    External cons traints:

    X 60

    Y 100

    Linear Programming

    X+Y 80

    X + 3Y 120

    2C + Y 90

    X 60

    Y 100

    X 0

    Y 0

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    Basic Concepts ofConstrained Optimization

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    A 0 0 $ 0

    B 0 40 24,000

    C 30 30 27,000

    D 45 0 13,500

    Linear Programming

    Corner Point X-Value Y-Value Z = $300X + $600Y

    C is the optimal solution!

    Basic Concepts ofConstrained Optimization

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    Theory of Constraints

    Measures of Systems Performance

    Throughput* The rate at which an organization generates money

    through sales

    Inventory The money the organization spends in turning

    materials into throughput

    Operating expenses

    The money the organization spends in turninginventories into throughput

    Sales Unit-level-Rev Var ExpTime

    *Throughput =

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    Theory of Constraints

    Five-Step Method for Improving Performance

    Identify an organizations constraints.

    Exploit the binding constraints.

    Subordinate everything else to the decisionsmade in Step 2.

    Elevate the organizations binding constraints.

    Repeat the process as a new constraintemerges to limit output.

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    Theory of Constraints

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    Theory of Constraints

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    Theory of Constraints

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    COST MANAGEMENT

    Guan Hansen Mowen

    COPYRIGHT 2009 South-Western Publishing, a division of Cengage Learning.Cengage Learning and South-Western are trademarks used herein under license. 31

    End Chapter 21