--%>
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 : Describe Schedule 10 Schedule 10 :

    Schedule 10: (Supplementary Schedule of Appropriations): The Department of Finance control document listing all the appropriations and allocations of funds accessible for expenditure throughout the past, present, and budget years. Such documents are s

    		•
  • Q : Explain Merger Merger : A merger takes

    Merger: A merger takes place whenever two companies unite to form a single company. This is very alike to an acquisition or takeover, apart from that the existing stock-holders of both companies comprised retain a shared interest in the latest corpora

    		•
  • Q : Inflationary expenditure gap or

    Normal 0 false false

  • Q : Describe the risk-return relationship

    Describe the risk-return relationship.The relationship among risk and required rate of return is term as the risk–return relationship.  This is a positive relationship since the more risk assumed, the higher the required rate of retur

    		•
  • Q : What is the Character of Expenditure

    Character of Expenditure: A classification recognizing the major purpose of expenditure, like State Operations, Local Assistance, Capital Outlay, or Unclassified.

    		•
  • Q : Derive the long-run aggregate supply

    Normal 0 false false

  • Q : Define the term Program Cost Accounting

    Program Cost Accounting (PCA): The level of accounting which identifies costs by activities executed in achievement of a purpose in contrast to the traditional line-item format. The aim of accounting at this level is to generate cost data adequately a

    		•
  • Q : Define Grants Grants : It is generally

    Grants: It is generally used to explain amounts of money received by an organization for a particular purpose however with no obligation to repay (that is, in contrast to a loan, though the award might stipulate the repayment of funds under some situa

    		•
  • Q : What is Policy Adjustments Policy

    Policy Adjustments: The changes to existing law or Administration policies. Such adjustments need action by the Governor and/or Legislature and change the workload budget.

    		•
  • Q : Assignments i want to write final

    i want to write final report about my state Texas. using the resources that i attached and the other resources to cover the outlines.

    		•