md. Imrul Kaes - Capacit Planning 2012-5-30

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    CAPACITYPLANNING

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    Planning: direction and coordination of

    firms resources towards attaining the

    prefixed goals.

    Capacity is the rate of productive capability

    of a firm. The objective of capacity planning

    is to match the level of operations to the

    level of demand.

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    Production managers are more concerned about

    the capacity planning for the following reasons:

    Sufficient capacity is required to meet the

    customer demands in time.

    Capacity affects the cost efficiency of operations.

    Capacity affects the scheduling system.

    Capacity creation requires an investment.

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    Measurement of capacity

    It is easy and simple to measure the capacity of thesection producing homogeneous tangible productswhich can be counted. The capacity of such section ormachine can be expressed in number of units of output

    per period. For example, the capacity of a textile mill isexpressed as meters of cloth per day.

    It is difficult to express capacities when the companyproduces multiple products and some of the productsrequiring common facilities and others specializedfacilities. Here capacity is expressed as man hours,machine hours etc.

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    A gap between the current capacity and desired

    capacity will push the firm out of balance

    situation. Overcapacity causes high operating

    cost, while under capacity causes shortage ofresources and possible loss of customers.

    For making a good capacity planning forecastingand demand management is very important.

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    Design Capacity

    Effective capacity

    Actual output

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    Design capacity: it is the maximum rate of outputachieved under ideal conditions.

    Effective capacity: it is usually less than design capacity

    owning to realities of changing product mix, the needfor period maintenance of equipments, lunch breaks,coffee breaks etc.

    Actual output can not exceed effective capacity and isalways less because of machine breakdowns,absenteeism, shortage of materials and qualityproblems.

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    Design capacity

    Effective capacity

    Actual output

    Lunch break, coffee break, schedule

    maintenance

    Machine break down, absenteeism,

    shortage of materials

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    capacitydesign

    outputactualnutilizatio

    capacityeffective

    outputactualefficiency

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    Example1:

    Design capacity of a factory is 50 tons per day,

    effective capacity 40 tons per day and actual

    output 36 tons per day. Find out efficiency andutilization of the factory.

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    36

    %909.040

    36

    ordaypertons

    daypertons

    capacitydesign

    outputactualnutilizatio

    ordaypertons

    daypertons

    capacityeffective

    outputactualefficiency

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    Example 2:

    A sewing line has three side seam operators per shift. 2 shifts per day, six

    days worked per week and eight hours worked per shift. Records indicatethat machine utilization is 75% and operator efficiency is 85%. What isthe design capacity and effective work capacity per week?

    Solution:

    weekperhours

    weekperhours

    efficiencyOutputActualCapacityEffective

    weekperhoursweekperhours

    nutilizatiocapacityDesignOutputActual

    weekperhoursweekperdaysdaypershif tsshiftperhoursCapacityDesign

    11.254

    85.0216

    21675.0288

    2886283

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    weekperpieces

    weekperpieces

    efficiencyOutputActualCapacityEffective

    weekperpiecesweekperpiecesnutilizatiocapacityDesignOutputActual

    weekperpieces

    weekperdaysdaypershif tsshif tperhourspiecesCapacityDesign

    71680

    90.064512

    6451280.080640

    80640

    7384120

    Example 3:

    A factory has an efficiency of 90% and the utilization is 80%.Four process lines are used. The lines operate seven days aweek and three eight hour shifts per day. Each line wasdesigned to process 120 standard pieces per hour. What is theDesign capacity and effective capacity?

    Solution:

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    Example 2:

    A dying factory wants to expand the plant

    capacity by adding 1 ton capacity dyeingmachines. It requires 5 hrs to dye 1 ton of fabric

    including loading and unloading time. The

    machines are used only 85 percent of the timedue to water problem or power restriction. The

    required output for the plant is 16 ton per shift (8

    hrs). The plant remains open on an average 60%

    time due to political unrest and other problems .

    Calculate- a) Number of machines required.

    b) Estimate the percentage of time that is wasted.

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    80

    80)80160(

    80516

    160

    820)

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    92.3)

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    1

    92.3

    8.6

    66.26,1

    66.26,8.6

    8.685.08

    66.266.0

    shiftperton16capacitysystemRequired

    wastedtimeofPercentage

    hourswastedTime

    hourshourston

    conditionidealofcaseinshif tperusedbeshouldhoursTotalhours

    hoursshif tperusedactuallyhoursTotalb

    machinesmachines

    hourperton

    hourpertonrequiredmachinesofNumbera

    hourpertonhour

    toncapacitymachineIndiv idual

    hourperton

    hourpertoncapacitysystemrequiredthenhrshoursavailablewhen

    toncapacitysystemrequiredthenhrshoursavailablewhen

    hrshrshoursAvailable

    shif tperton

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    Example 3:

    The owner of a garment factory wants to add a newsewing line which will require leasing new equipments

    and sewing machines for a daily payment of $6000.Variable costs would be $2 per garment and garmentswould retail for $7 each. Calculate:

    a) How many garments must be sold in order to be atbreak even?b) What would be the profit if 1000 garments are madeand sold in a day?c) How many garments must be sold to realize a profit

    of $4000?d) If 2000 can be sold and a profit target is $5000, whatprice should be charged per garment?

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    FC

    Qa BEP 120027

    6000

    )

    10006000)27(1000

    )()

    P

    FCvRQP

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    5.7$2

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    60005000

    )(

    )

    20002$7$

    6000$4000$

    ,

    4000$)

    R

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    Example 4:

    A manager has the option of purchasing one, two or three

    machines. Fixed costs and potential volumes are as follows:

    Variable cost is $ 10 per unit and revenue is $40 per unitDetermine:

    a) The break even point for each rangeb) If projected annual demand is between 580 and 600 units,

    how many machines should the manager purchase?

    Number of

    machines

    Total Annual Fixed

    Costs

    Corresponding

    range of output

    1 $ 9600 0 to 300

    2 $ 15000 301 to 600

    3 $ 20000 601 to 900

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    unitsQmachinesthreeFor

    unitsQmachinetwoFor

    BEPnoistheresorangeinnotunitsQmachineoneFor

    vR

    FCQ

    BEP

    BEP

    BEP

    BEP

    67.666

    10$40$

    000,20$,

    50010$40$

    15000$,

    ),(32010$40$

    9600$,

    For two machines, the break even point is 500. This

    means that even the demand is at the low end of the

    range, it would be above the break even point and thusyield a profit.

    Hence the manager should choose 2 machines.

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    Make Buy

    Annual Fixed Cost $ 150000 None

    Variable Cost per unit $ 60 $ 80

    Annual Volume (units) 12000 12000

    Make or Buy Decision:

    Example 5:

    A firms manager must decide whether to make or buy a

    certain item used in the production system. Cost and volumeestimates of make and buy decision are given below;

    Given these number, should the manager buy or make thisitem?

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    Solution:

    Total Cost = Fixed cost + Volume variable costMake: Total Cost = 15000 + 12000 60

    = $ 870,000

    Buy : Total Cost = 0 + 12000 80= $ 960,000

    Since the total cost of making the item is less than the

    annual cost of buying it, the manager should choose tomake the item.

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    An item which is required by the company can be

    manufactured on any of the three following machinesand also it can be purchased at a price of $5.4 per

    component:

    Suggest the best option if the requirement is 2000 units

    then what would be the decision about buying or

    making?

    Machine Fixed Cost Variable cost

    M1 9000 0.75

    M2 8500 0.50

    M3 9200 0.05

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    9300200005.09200cos,

    950020005.08500cos,

    10500200075.09000cos,

    800,1020004.5,

    :

    3

    2

    1

    tTotalmachineMFor

    tTotalmachineMFor

    tTotalmachineMFor

    CostTotalbuyingFor

    Solution