--%>

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 : Risk from perspective of the Capital

    Discuss risk through the perspective of the Capital Asset Pricing Model (CAPM).The Capital Asset Pricing Model, or CAPM, can be utilized to compute the appropriate required rate of return for an investment project specified its degree of risk as

  • Q : What is Amendment Amendment : A

    Amendment: A proposed or customary change to a bill in the Legislature, the California Constitution, acts passed by the Legislature, or ballot initiative.

  • Q : What do you mean by the term Year of

    Year of Appropriation (YOA): It refers to the initial year of an appropriation.

  • Q : Problem on banks Customers arrive at a

    Customers arrive at a bank with 2 tellers. The manager took the following data for 11 customers during a busy time. The manager has asked you to:(a) Create an event log. (b) Calculat

  • Q : Frequency Distribution What is

    What is Frequency Distribution? Compare Categorical Frequency Distribution, Ungrouped Frequency Distribution, Grouped Frequency Distribution?

  • Q : Define General Fund General Fund (GF):

    General Fund (GF): For lawful basis accounting and budgeting aims, the predominant fund for the financing state government programs, employed to account for revenues that are not particularly designated to be accounted for by another fund. The main so

  • Q : Define Appropriations Limit

    Appropriations Limit, State (SAL): The constitutional limit on the expansion of some appropriations from tax proceeds usually set to the level of the previous year's appropriation limit as adjusted for modifications in cost of living

  • Q : Explain intermediation Explain

    Explain intermediation.The financial system makes it achievable for surplus and deficit economic units to come together, exchanging funds for securities, to their mutual profit. While funds flow from surplus economic units to a financial institu

  • Q : Equilibrium GDP for the open economy

    Normal 0 false false

  • Q : Explain non diversifiable risk and how

    Explain non diversifiable risk? How is it measured? Unless the returns of one-half the assets into a portfolio are entirely negatively correlated along with the other half-that is extremely unlikely-some risk will