--%>
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 : For banking services how competitive is

    For banking services how competitive is the market?Along with more than 7,000 banks and thrifts in the U.S., banking is one of the most competitive industries in the world. Assume the following characteristics of the American financial services

    		•
  • Q : How does depreciation influence cash

    Normal 0 false false

    		•
  • Q : What is Statute Statute: It is a

    Statute: It is a written law enacted by the Legislature and signed by the Governor or a vetoed bill overridden by a 2/3 vote of both houses), generally referred to by its chapter number and the year in which it is passed. The statutes which modify a s

    		•
  • Q : Define Expenditure Expenditure : The

    Expenditure: The expenditures reported on a department’s annual financial reports and “past year” budget documents comprises of amounts paid and accruals (comprising encumbrances and payables) for obligations made for the fiscal year

    		•
  • Q : Clarify the duties of the financial

    Clarify the duties of the financial manager within a business firm.Financial managers measure the firm's performance, find out what the financial consequences will be if the firm maintains its present course or changes it, and suggest how the fi

    		•
  • Q : Explain Legislative Information System

    Legislative Information System (LIS): An on-line system formed and employed by the Department of Finance to maintain existing information regarding all bills introduced in the Assembly and Senate for the current 2-year session, and fo

    		•
  • Q : Why too little debt is as unwanted as

    If an optimal capital structure exists, describe reasons why too little debt is as unwanted as is too much debt? Too little debt may be as unwanted as too much debt since if a firm contains a very conservative capital structures it may be losing

    		•
  • Q : Define Claim Schedule Claim Schedule :

    Claim Schedule: It is a request from a state department to the State Controller's Office to distribute payment from a legal appropriation or account for a legal state obligation. The claim agenda recognizes the appropriation or account to be charged,

    		•
  • Q : Describe the equilibrium price and

    Assume the total demand for wheat and the net supply of wheat per month in the Kansas City grain market are as: 16_Table for wheat.png

    		•
  • Q : Describe benefits of collecting early

    Describe benefits of "collecting early" and how do companies effort to do this? Money contains time value. The sooner cash is gathered, the better. Companies employ regional collection centres and lock boxes to facilitate this.

    		•