--%>
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 : Changes in equilibrium GDP caused by

    Normal 0 false false

  • Q : What is Audit Audit : Usually a review

    Audit: Usually a review of financial statements or performance activity (like an agency or program) to establish conformity or compliance with the applicable laws, regulations, and/or standards. The state has three central association

    		•
  • Q : What is Fiscal Year Fiscal Year (FY):

    Fiscal Year (FY): Twelve-month periods throughout which income is earned and received, compulsions are incurred, encumbrances are prepared, appropriations are expended, and for which the other fiscal transactions are recorded. In Cali

    		•
  • Q : Define Veto Veto : It is the Governor's

    Veto: It is the Governor's Constitutional authority to reduce or remove one or more items of appropriation while accepting other parts of a bill.

    		•
  • Q : What is Finance Conversion Code listing

    Finance Conversion Code (FCC) Listing: This is a listing distributed by the State Controller's Office to the departments each spring, that is based on departmental coding updates, will state how the salaries and wages detail will be d

    		•
  • Q : What is Department Department: The

    Department: The governmental organization, generally belonging to the third level of the state organizational hierarchy as stated in the Uniform Codes Manual.

    		•
  • Q : Describe factors which common

    Describe some factors which common stockholders consider while deciding how much, if any, cash dividends they want from the corporation wherein they have invested? Common stockholders would assume the company's investment opportunity, their requ

    		•
  • Q : How societys interests can affect

    Normal 0 false false

    		•
  • Q : Explain Budget Cycle Budget Cycle : The

    Budget Cycle: The time period needed to made a state financial plan and enacts that part of it applying to the budget year. The Significant events in the cycle comprise: • The preparation of G

    		•
  • Q : Define Federal Fiscal Year Federal

    Federal Fiscal Year (FFY): The twelve month accounting period of the federal government, starting on October 1 and ending the following September 30. For illustration, a reference to FFY 2013 means the period starting October 1, 2012 and ending at Sep

    		•