--%>
Assignment Help - homework help

Order Quantity-Cycle Inventory-Safety Inventory

Consider the following data pertaining to a distribution center.

2446_distribution centre.jpg

Ordering cost: $50 /order
Holding cost: $4 /unit /week.
Cycle service level: 97%

Summary:

The question is related to cost accounting in finance. It deals with measures such as Order Quantity, Cycle Inventory, Safety Inventory, Reorder Level, Annual Inventory Holding, Annual Ordering Cost, etc. All these measures are calculated according to given cost and time.

E

Expert

Verified

Consider the following data pertaining to a distribution center.

Mean Weekly Demand(d): 100
Standard Deviation  of Weekly Demand(Sd): 30
Lead Time(L): 2 Weeks
No. of weeks in year: 50


Ordering cost (Cp): $50 /order
Holding cost (Ch): $4 /unit /week.
Cycle service level: 97%  
Z – value for service level 97 % = 1.89
Annual demand (D) = d * No. of weeks = 100 * 50 = 5000 units
Standard deviation of weekly demand during lead time =SL = sqrt( sum of squares of ‘Sd’ during the ‘L’ number of weeks) = sqrt( 302 + 302) = 42.42 units

Order Quantity = Q = sqrt( (2 * D * Cp)/Ch) 
              = sqrt((2* 5000 * 50)/4)
              = 353.55 units
              =354 units approx

Cycle inventory = Q/2 
    = 353.55/2 
    = 176.775 units
    = 177 units approx

Safety inventory = z* SL 
     = 1.89 * 42.42 
    = 80.18 units
    = 80 units approx

Re-Order Level = d*L + z* SL
     = 100*2 + 1.89*42.42
    = 280 units approx

Annual Inv Holding Cost = (Q/2)*Ch
      = 353.55/2 * 4
      = $ 707 approx

number of orders per year
= D/Q
= 5000/353.55
=14.14

Annual ordering cost = (D/Q) * Cp
              = 5000/353.55 * 50
              =$ 707 approx

   Related Questions in Finance Basics

  • Q : What is Expenditure Authority

    Expenditure Authority: The authorization to make expenditure (generally by a budget act appropriation, provisional language or some other legislation).

    		•
  • Q : What are Staff Benefits Staff Benefits

    Staff Benefits: It is an object of expenditure symbolizing the state costs of contributions for employee’s retirement, health benefits, OASDI, and non-industrial disability leave advantages.

    		•
  • Q : Explain Equity Financing Equity

    Equity Financing: New or small businesses might find it hard to get debt financing therefore they turn to equity funding. The Equity financing frequently comes from non-professional investors like family, friends, or employees. This can as well come f

    		•
  • Q : Explain Supplement-Schedule 7A

    Supplement (Schedule 7A): In such documents, for precedent year, authorized positions symbolize the number of real positions filled for that year. For present year, authorized positions comprise all regular ongoing positions accepted in the Budget Act

    		•
  • Q : Describe value investing Value

    Value investing is an investment strategy which involves buying securities whose shares appear underpriced by some form(s) of fundamental analysis, like stocks with low Price to Earning or Price to Book value. This strategy basically is of buying stoc

    		•
  • Q : Describe primary reasons that companies

    Describe primary reasons that companies hold cash? Companies hold cash to make essential payments, to take benefit of opportunities as they arise, and to cover unforeseen emergencies.

    		•
  • Q : Cause-and-effect chain Normal 0 false

    Normal 0 false false

    		•
  • Q : Demand for French euros or a supply of

    Normal 0 false false

    		•
  • Q : What is Feasibility Study Report

    Feasibility Study Report (FSR): This is a document proposing an information technology project which contains analyses of options, cost estimates, and some other information.

    		•
  • Q : Describe inventory is sometimes thought

    Inventory is sometimes thought of as an essential evil. Describe. Inventory ties up funds and these are not earning an explicit return. Some inventory is frequently necessary, however, as companies attempt to hold the lowest acceptable amount.

    		•