(2) material requirement planning (mrp)

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    MRP Material requirements planning (MRP):

    Computer-based information systemthattranslatesmasterschedulerequirements

    forend items intotime-phasedrequirements forsubassemblies,components,andrawmaterials.

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    Independent and Dependent DemandIndependent Demand

    A

    B(4) C(2)

    D(2) E(1) D(3) F(2)

    Dependent Demand

    Independent demand is uncertain.

    Dependent demand is certain.

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    DependentDemand Dependent demand:Demand for itemsthat

    aresubassembliesorcomponentpartsto

    beused in production of finished goods.

    Oncethe independentdemand is known,

    thedependentdemandcan bedetermined.

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    Objectivesof MRP Improvecustomerservice

    Reduce inventory investment

    Improveplantoperating efficiency

    Reduction in production anddeliverylead

    times

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    Material Requirements Planning

    System Threemajorcomponentsof MRP system:

    Master Production Schedule (MPS)

    Billsof Materials (BOM)

    Inventory Status File

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    Firm orders

    from known

    customers

    Forecasts

    of demand

    from random

    customers

    Aggregate

    product

    plan

    Bill of

    material

    file

    Engineering

    design

    changes

    Inventory

    record file

    Inventory

    transactions

    Master production

    Schedule (MPS)

    Material

    planning

    (MRP

    computer

    program)

    Order Release

    Requirements

    Order Rescheduling

    Planned Orders

    (future)

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    Master Production Schedule (MPS) Basedon amasterproduction schedule,a

    materialrequirementsplanning system:

    Createsschedules identifying thespecific

    partsandmaterialsrequiredtoproduceend items

    Determinesexactunit numbers needed

    Determinesthedateswhen orders forthosematerialsshouldbereleased,basedon leadtimes

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    Billsof Materials (BOM) Itprovidescompleteproductdescription.

    Materials

    Parts

    Components

    Production sequence

    Subassemblies

    Fractionaloptions

    Providesproductstructure (tree)

    Visualdepiction oftherequirements in abillof

    materials,whereallcomponentsarelistedbylevels.

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    Inventory Status File Containsan extensiveamountof

    information on every itemthat isproduced,ordered,or inventoried in thesystemlike

    Identification number

    Quantityon hand

    Safetystock level

    Quantitydisbursed

    Procurementleadtimeofevery item

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    MRP MatrixGross Requirement

    Derived from planned order releases of the parent

    Actual / estimated demand, in case of final product

    Schedule Receipts Items on order

    Scheduled to arrive in the future time period

    Projectedon hand

    Current inventory, or anticipated inventory at the end ofperiod

    Projected on-handInventory at endof period t

    Inventory on-hand at endof period t- 1= + -

    Grossrequirementsin period t

    Scheduled /plannedreceipts in

    period t

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    MRP MatrixNetrequirements

    Actual quantity to produce based on projected on handand on-order quantity

    PlannedOrder Receipts

    Quantity, when orders need to be received

    Consider lotsizing rule:

    PlannedOrder Release

    When order need to be placed to receive on time

    Consider lead time

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    Lot-Sizing in MRP Lot-size isthequantityordered/produced

    atonetime

    Largelotsarepreferredbecause:

    Changeoverscostlessandcapacity greater

    Annualcostofpurchaseordersless

    Pricebreaksandtransportation breakscan beutilized

    Smalllotsarepreferredbecause: Lower inventorycarrying cost

    Reducedrisk ofobsolescence

    Shortercycletimetoproducecustomerorder

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    EXAMPLE 1

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    MRP Example

    A(2) B(1)

    D(5)C(2)

    X

    C(3)

    Item On-Hand Lead Time (Days)

    X 50 2

    A 75 3

    B 25 1

    C 10 2D 20 2

    Requirements include 95 units (80 firm orders and 15 forecast) of X

    on 10th day.

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    A(2)

    X

    Day: 1 2 3 4 5 6 7 8 9 10

    X Gro requ remen 95

    LT=2 Schedu ed rece p

    roj. avail. balance 50 50 50 50 50 50 50 50 50 50

    On- Ne requiremen 45

    hand lanned order receip 45

    50 Plannerorder release 45

    A Gr oss requiremen s 90

    LT=3 Scheduled receip s

    Proj. avail.balance 75 75 75 75 75 75 75 75

    On- Ne requiremen s 15

    hand Plannedorder receip 15

    75 Plannerorder release 15

    B Gross requiremen s 45LT=1 Scheduled receip s

    Proj. avail.balance 25 25 25 25 25 25 25 25

    On- Ne requiremen s 20

    hand Plannedorder receip 20

    25 Plannerorder release 20

    C Gross requiremen s 45 40

    LT=2 Scheduled receip s

    Proj. avail.balance 10 10 10 10 10

    On- Ne requiremen s 35 40hand Plannedorder receip 35 40

    10 Plannerorder release 35 40

    D Gross requiremen s 100

    LT=2 Scheduled receip s

    Proj. avail.balance 20 20 20 20 20 20 20

    On- Ne requiremen s 80

    hand Plannedorder receip 80

    20 Plannerorder release 80

    It takes

    2 As for

    each X

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    Day: 1 2 3 4 5 6 7 8 9 10

    X Gross requiremen s 95

    LT=2 Scheduled receip s

    Proj. avail.balance 50 50 50 50 50 50 50 50 50 50

    On- Ne requiremen s 45

    hand Plannedorder receip 45

    50 Plannerorder release 45

    A Gr oss requiremen s 90

    LT=3 Scheduled receip s

    Proj. avail.balance 75 75 75 75 75 75 75 75

    On- Ne requiremen s 15

    hand Plannedorder receip 15

    75 Plannerorder release 15

    B Gross requiremen s 45LT=1 Scheduled receip s

    Proj. avail.balance 25 25 25 25 25 25 25 25

    On- Ne requiremen s 20

    hand Plannedorder receip 20

    25 Plannerorder release 20

    C Gross requiremen s 45 40

    LT=2 Scheduled receip s

    Proj. avail.balance 10 10 10 10 10

    On- Ne requiremen s 35 40hand Plannedorder receip 35 40

    10 Plannerorder release 35 40

    D Gross requiremen s 100

    LT=2 Scheduled receip s

    Proj. avail.balance 20 20 20 20 20 20 20

    On- Ne requiremen s 80

    hand Plannedorder receip 80

    20 Plannerorder release 80

    B(1)A(2)

    X

    It takes

    1 B for

    each X

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    A(2) B(1)

    X

    C(3)

    Day: 1 2 3 4 5 6 7 8 9 10

    X Gross requiremen s 95

    LT=2 Scheduled receip s

    Proj. avail.balance 50 50 50 50 50 50 50 50 50 50

    On- Ne requiremen s 45

    hand Plannedorder receip 45

    50 Plannerorder release 45

    A Gr oss requiremen s 90

    LT=3 Scheduled receip s

    Proj. avail.balance 75 75 75 75 75 75 75 75

    On- Ne requiremen s 15

    hand Plannedorder receip 15

    75 Plannerorder release 15

    B Gross requiremen s 45LT=1 Scheduled receip s

    Proj. avail.balance 25 25 25 25 25 25 25 25

    On- Ne requiremen s 20

    hand Plannedorder receip 20

    25 Plannerorder release 20

    C Gross requiremen s 45 40

    LT=2 Scheduled receip s

    Proj. avail.balance 10 10 10 10 10

    On- Ne requiremen s 35 40hand Plannedorder receip 35 40

    10 Plannerorder release 35 40

    D Gross requiremen s 100

    LT=2 Scheduled receip s

    Proj. avail.balance 20 20 20 20 20 20 20

    On- Ne requiremen s 80

    hand Plannedorder receip 80

    20 Plannerorder release 80

    It takes 3

    Cs foreach A

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    A(2) B(1)

    C(2)

    X

    C(3)

    Day: 1 2 3 4 5 6 7 8 9 10

    X Gross requiremen s 95

    LT=2 Scheduled receip s

    Proj. avail.balance 50 50 50 50 50 50 50 50 50 50

    On- Ne requiremen s 45

    hand Plannedorder receip 45

    50 Plannerorder release 45

    A Gr oss requiremen s 90

    LT=3 Scheduled receip s

    Proj. avail.balance 75 75 75 75 75 75 75 75

    On- Ne requiremen s 15

    hand Plannedorder receip 15

    75 Plannerorder release 15

    B Gross requiremen s 45LT=1 Scheduled receip s

    Proj. avail.balance 25 25 25 25 25 25 25 25

    On- Ne requiremen s 20

    hand Plannedorder receip 20

    25 Plannerorder release 20

    C Gross requiremen s 45 40

    LT=2 Scheduled receip s

    Proj. avail.balance 10 10 10 10 10

    On- Ne requiremen s 35 40hand Plannedorder receip 35 40

    10 Plannerorder release 35 40

    D Gross requiremen s 100

    LT=2 Scheduled receip s

    Proj. avail.balance 20 20 20 20 20 20 20

    On- Ne requiremen s 80

    hand Plannedorder receip 80

    20 Plannerorder release 80

    It takes 2

    Cs for

    each B

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    A(2) B(1)

    D(5)C(2)

    X

    C(3)

    Day: 1 2 3 4 5 6 7 8 9 10

    X Gross requiremen s 95

    LT=2 Scheduled receip s

    Proj. avail.balance 50 50 50 50 50 50 50 50 50 50

    On- Ne requiremen s 45

    hand Plannedorder receip 45

    50 Plannerorder release 45

    A Gr oss requiremen s 90

    LT=3 Scheduled receip s

    Proj. avail.balance 75 75 75 75 75 75 75 75

    On- Ne requiremen s 15

    hand Plannedorder receip 15

    75 Plannerorder release 15

    B Gross requiremen s 45LT=1 Scheduled receip s

    Proj. avail.balance 25 25 25 25 25 25 25 25

    On- Ne requiremen s 20

    hand Plannedorder receip 20

    25 Plannerorder release 20

    C Gross requiremen s 45 40

    LT=2 Scheduled receip s

    Proj. avail.balance 10 10 10 10 10

    On- Ne requiremen s 35 40hand Plannedorder receip 35 40

    10 Plannerorder release 35 40

    D Gross requiremen s 100

    LT=2 Scheduled receip s

    Proj. avail.balance 20 20 20 20 20 20 20

    On- Ne requiremen s 80

    hand Plannedorder receip 80

    20 Plannerorder release 80

    It takes 5

    Ds for each

    B

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    EXAMPLE 2

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    Product Structure forClipboard

    Product Structure RecordProduct Structure Record

    ClipboardLevelLevel 00

    Level 1Level 1

    Level 2Level 2Spring (1)

    BottomClip (1)

    TopClip (1)

    Pivot(1)

    Rivets (2)

    ClipAssembly

    (1)

    Pressboard (1)

    Top lip ( ) ottom lip ( )

    i ot ( ) pri ( )

    Ri t (2)

    Fi i lipboar r boar ( )

    Clipboar

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    EXAMPLE 3

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    Product Structure for Bicycle

    Bi l ( )/N

    andl Bar ( )

    /N

    Frame A ( )

    /N 2

    eel (2)

    /N 3

    Frame ( )

    /N 4

    Bi le( )/N

    andleBar ( )

    /N

    Frame A ( )

    /N 2

    eel (2)

    /N 3

    Frame ( )

    /N 4

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    EXAMPLE 4

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    Material Requirements Planning To produce an end item A component B/unit of end item is

    needed.

    It takes two weeks to produce a batch of component B. Stock in hand 170 units

    50 uniteswillbecompletedatthebeginning ofweek 2

    Average Weekly Demand 100 units

    Set-up Cost $90

    Inventory Holding Cost 20%/unit/week

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    Material Requirements PlanningWeek

    1 2 3 4 5 6 7 8 9 10 11 12

    GrossRequirement

    150 50 70 100 0 150 200 100 0 80 20 160

    On-handinventory

    170 20 20

    Scheduledreceipts

    50

    Netrequirements

    50 100 0 150 200 100 0 80 20 160

    Plannedproduction

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    LOT-FOR-LOT MethodWeek

    1 2 3 4 5 6 7 8 9 10 11 12

    GrossRequirement

    150 50 70 100 0 150 200 100 0 80 20 160

    On-handinventory

    170 20 20 0 0 0 0 0 0 0 0 0 0

    Scheduledreceipts

    50 50 100 150 200 100 80 20 160

    Netrequirements

    50 100 0 150 200 100 0 80 20 160

    Plannedproduction

    50 100 0 150 200 100 0 80 20 160 0 0

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    LOT-FOR-LOT Method Set-up cost

    = 8 set-ups * $90 perset-up

    = $720

    Holding cost= 20 units in week 1 * 0.2 + 20 units in week 2 * 0.2

    = $8

    Total cost for the 12-week period= $720 + $8

    = $728

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    Economic Order Quantity (EOQ) Average Weekly Demand (R) 100 units

    Set-up Cost (cp) $90

    Inventory Holding Cost (ch) 20%/unit/week

    EOQ = 2Rcp = 20*100*90

    ch 0.2

    = 300 units

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    Economic Order Quantity (EOQ)Week

    1 2 3 4 5 6 7 8 9 10 11 12

    GrossRequirement

    150 50 70 100 0 150 200 100 0 80 20 160

    On-handinventory

    170 20 20 250 150 150 0 100 0 0 220 200 40

    Scheduledreceipts

    50 300 300 300

    Netrequirements

    50 100 0 150 200 100 0 80 20 160

    Plannedproduction

    300 0 0 0 300 0 0 300 0 0 0 0

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    Economic Order Quantity (EOQ)

    Set-up cost= 3 * $90

    = $270

    Holding cost= 1150 * $0.2

    = $230

    Total incremental cost= $270 + $230

    = $500

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    EXAMPLE 5

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    (C) Gear (1)(B) Gear Box (1)(A) Transmission(1) (D) Forging Blank (5)

    Product structure for making a truck

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    (X) Truck (1)

    (A)

    Transmission (1)

    (B) Gear

    Box (1) (C) Gear (1)

    (D) Forging

    Blank (5)

    Item On-Hand Lead Time

    (Weeks)

    Truck 10 1

    Transmission 20 2Gear Box 24 1

    Gear 18 1

    Forging Blank 40 2

    Suppose we are to produce 40 trucks. What are the net requirements for each

    component?

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    Gross Requirements

    Scheduled Receipts

    Projected on Hand

    Net Requirement

    Planned Order Receipts

    Planned Order Releases

    Gross Requirements

    Scheduled Receipts

    Projected on Hand

    Net Requirement

    Planned Order Receipts

    Planned Order Releases

    WEEK 2 3 4 5 6 7 81

    ItemLowLead

    TimeWeeks

    On

    hand

    Level

    CodeIdentif.

    10 10 10 10 10 1010 10 10

    101 0 T 50

    40

    40

    40

    2 20 1 A

    20 20 20 20 20 202020

    20

    20

    40

    20

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    Gross Requirements

    Scheduled Receipts

    Projected on Hand

    Net Requirement

    Planned Order Receipts

    Planned Order Releases

    Gross Requirements

    Scheduled Receipts

    Projected on Hand

    Net Requirement

    Planned Order Receipts

    Planned Order Releases

    WEEK 2 3 4 5 6 7 81

    ItemLowLead

    TimeWeeks

    On

    hand

    Level

    Code Identif.

    21 24 B

    242424242424

    16

    16

    16

    40

    1 18 3 C

    18181818 18

    22

    40

    22

    22

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    Gross Requirements

    Scheduled Receipts

    Projected on Hand

    Net Requirement

    Planned Order Receipts

    Planned Order Releases

    WEEK 2 3 4 5 6 7 81

    ItemLowLead

    TimeWeeks

    On

    hand

    Level

    Code Identif.

    440 D2

    40404016040

    160

    160

    200

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    EOQ example

    Setup cost, S = $100

    Unit price, C = $50

    Holding costs, HR= .24 per annum

    HP = .02 per period

    Annual demand, D = 200

    Q = (2DS / CHR)1/2 = 58

    Period 1 2 3 4 5 6 7 8 9 10

    Net rqmts. 35 10 40 20 5 10 30

    Planned orders 58 58 58

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    MRP Example:-

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    MRP Example:-

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    Speaker Kits,Inc.,packages

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    Level Product structure for Awesome(A)

    A0

    1

    2

    3

    B(2) Std. 12 Speaker Kit C(3) Std. 12Speaker kit

    w/ amp-booster

    E(2)

    D(2)

    E(2) F(2) Std. 12 Speaker

    booster assembly

    G(1) D(2)

    12 Speaker 12 Speaker

    Packing box and

    installation kit of

    wire, bolts and

    screws Amp-booster

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    2 weeks to

    produce

    2 weeks

    2 weeks

    3 weeks

    2 weeks

    1 week

    1 week

    1 week

    1 week

    Start production of DMust have D and E

    completed her so

    production can begin

    on B

    1 4 5 6 72 3 8

    Time in weeks

    G

    A

    D

    E

    C

    B

    F

    D

    E

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    Item Inventory on handA 10B 15

    C 20D 10E 10

    F 5G 0

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    Gross Requirement 80Scheduled Receips

    Projected on Hand 15 15 15 15 15 15 15 15

    Net Requirement 65

    Planned Order Receipts 65

    Planned Order Releases 65

    2 15 1 B

    Gross Requirement 50

    Scheduled ReceipsProjected on Hand 10 10 10 10 10 10 10 10 10

    Net Requirement 40

    Planned Order Receipts 40

    Planned Order Releases 40

    1 10 0 A

    LeadTime

    (weeks)

    On

    Hand

    Low-Level

    Code

    ItemIdenti-

    fication Week 1 2 3 4 5 6 7 8

    A

    Net Material Requirement Plan for Product A

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    Gross Requirement 120

    Scheduled Receips

    Projected on Hand 20 20 20 20 20 20 20 20

    Net Requirement 100Planned Order Receipts 100

    Planned Order Releases 100

    1 20 1 C A

    Gross Requirement 130 200

    Scheduled Receips

    Projected on Hand 10 10 10 10 10 10

    Net Requirement 120 200

    Planned Order Receipts 120 200

    Planned Order Releases 120 200

    2 10 2 E B

    Lead

    Time

    (weeks)

    On

    Han

    d

    Low-

    Level

    Code

    Item

    Identi-

    fication Week 1 2 3 4 5 6 7 8

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    Gross Requirement 195

    Scheduled Receips

    Projected on Hand 0

    Net Requirement 195

    Planned Order Receipts 195

    Planned Order Releases 195

    2 0 3 G F

    Lead

    Time

    (weeks)

    On

    Han

    d

    Leve

    l

    Cod

    Identi-

    ficatio

    n Week 1 2 3 4 5 6 7 8

    Gross Requirement 390 130

    Scheduled Receips

    Projected on Hand 10 10 10 10

    Net Requirement 380 130

    Planned Order Receipts 380 130

    Planned Order Releases 380 130

    1 10 3 D BF

    Gross Requirement 200

    Sc heduled Receips

    Projected on Hand 5 5 5 5 5 5 5

    Net Requirement 195

    Planned Order Receipts 195

    Planned Order Releases 195

    3 5 2 F C

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    Exampleof MRP LogicandProduct Structure Tree

    B(4)

    E(1)D(2)

    C(2)

    F(2)D(3)

    A

    Product Structure Tree for Assembly ALead Times

    A 1 day

    B 2 days

    C 1 day

    D 3 days

    E 4 days

    F 1 day

    Demand

    Day 10 50 A

    Day 8 20 B (Spares)

    Day 6 15D (Spares)

    Given theproduct structure tree for and the lead time and

    demand information below, provide a materials requirements

    plan that defines the number of units of each component and

    when they will be needed.

    Thi i h t t t d l th fi l t i l50

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    Day: 1 2 3 4 5 6 7 8 9 10

    A Required 50

    LT=1 Order Placement 50

    B Required 20 200

    LT=2 Order Placement 20 200

    C Required 100

    LT=1 Order Placement 100

    D Required 55 400 300

    LT=3 Order Placement 55 400 300

    E Required 20 200

    LT=4 Order Placement 20 200

    F Required 200

    LT=1 Order Placement 200

    B(4)

    E(1)D(2)

    C(2)

    F(2)D(3)

    A

    40 + 15 spares

    Part D: Day 6

    This is what we want to develop, the final materials

    requirements plan. Lets see how we got to this

    The McGraw-Hill Companies, Inc., 2001

    50

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    LT = 1 day

    Day: 1 2 3 4 5 6 7 8 9 10

    A Required 50

    Order Placement 50

    First, the number of units of A are scheduled

    backwards to allow for their lead time So, in the

    materials requirement plan below, we have toplace an order for50 units of A on the 9th day to

    receive them in the 10th day

    Next we need to start scheduling the components that make up

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    Next, we need to start scheduling the components that make up .

    Day : 1 2 3 4 5 6 7 8 1

    ir 5

    r r lac e m e n t 5

    e q u i re d 2 2

    rd e r lac e m e n t 2 2

    LT = 2

    B(4)

    E(1)D(2)

    C(2)

    F(2)D(3)

    A 4x50=200

    In the case of component B we need Bs for each .

    Since we need 50 s, that means 00 Bs.

    nd again, we back the schedule up for the necessary days of lead time.

    Next we need to start scheduling the components that make up

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    Next, we need to start scheduling the components that make up .

    Day : 1 2 3 4 5 6 7 8 1

    e q u i re d 5

    rd e r lac e m e n t 5

    e q u i re d 2 2

    rd e r lac e m e n t 2 2

    SparesLT = 2

    B(4)

    E(1)D(2)

    C(2)

    F(2)D(3)

    A 4x50=200

    In the case of component B we need Bs for each .

    Since we need 50 s, that means 00 Bs.

    nd again, we back the schedule up for the necessary days of lead time.

    Finally repeating the process for all components we have54

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    Day: 1 2 3 4 5 6 7 8 9 10

    A Required 50

    LT=1 Order Placement 50B Required 20 200

    LT=2 Order Placement 20 200

    C Required 100

    LT=1 Order Placement 100

    D Required 55 400 300

    LT=3 Order Placement 55 400 300

    E Required 20 200LT=4 Order Placement 20 200

    F Required 200

    LT=1 Order Placement 200

    B(4)

    E(1)D(2)

    C(2)

    F(2)D(3)

    A

    40 + 15 spares

    Part D: Day 6

    Finally, repeating the process for all components, we have

    the final materials requirements plan:

    The McGraw-Hill Companies, Inc., 2001

    2x50=100LT = 1

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