--%>
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 State Operations State

    State Operations (SO): It is a character of expenditure symbolizing expenditures for the support of state government, exclusive of capital investments and expenses for the local assistance actions.

    		•
  • Q : Price Earning ratio Define the term

    Define the term Price Earning ratio and how it is calculated?

    		•
  • Q : Price The Audiology Department at

    The Audiology Department at Randall Clinic offers many services to the clinic’s patients. The three most common , along with cost and utilization data, are as follows: Service Variable cost per service Annual Direct Fixed cost Annual Number of Visits Basic Examination $5. $50,000 3,000 Advanced

    		•
  • Q : Production possibilities curve based

    Given is a production possibilities table for consumer goods (automobiles) and capital goods (forklifts): Illustrates these data graphica

    		•
  • Q : What are Governmental Cost Funds

    Governmental Cost Funds: For lawful basis accounting and budgeting aims, funds which derive revenue from the taxes, licenses, and fees.

    		•
  • Q : Pitfalls when two companies merge Other

    Other than pricing, some pitfalls that consumers might have to deal with when two major companies merge.

    		•
  • 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 : 222 what do you understand by planning

    what do you understand by planning premises

    		•
  • Q : Financial strategy describe the sales

    describe the sales forecasting process ?

    		•
  • Q : Explain Generally Accepted Accounting

    Generally Accepted Accounting Principles (GAAP): The accounting rules, principles, conventions, and procedures which are employed for accounting and financial reporting. The GAAP for governments are put by the Governmental Accounting Standards Board (

    		•