--%>
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 the role of cash and of

    Describe the role of cash and of earnings while a corporation is deciding how much, if any, cash dividends to pay to common stockholders. In the long-run earnings are essential to maintain dividend payments; however at the time an actual dividen

    		•
  • Q : Question based on multiplier Normal 0

    Normal 0 false false

  • Q : Describe the bird in the hand theory of

    Describe the bird in the hand theory of cash dividends. The bird in the hand dividends theory says that dividends attained now are better than a promise of future dividends. Uncertainty is resolved while a dividend is paid.

    		•
  • Q : Describe inventory is sometimes thought

    Inventory is sometimes thought of as an essential evil. Describe. Inventory ties up funds and these are not earning an explicit return. Some inventory is frequently necessary, however, as companies attempt to hold the lowest acceptable amount.

    		•
  • Q : How cash and capital budget relate to

    Describe how the cash budget and the capital budget associate to proforma financial statements.The cash budget illustrates the projected flow of cash in and out of the firm for particular time periods. The capital budget illustrates planned expe

    		•
  • Q : Define Budget Year Budget Year (BY) :

    Budget Year (BY): The next state fiscal year, starting July 1 and ending June 30, for which the Governor's Budget is proposed (that is, the year following the present fiscal year).

    		•
  • Q : Calculating the location in assessing

    Normal 0 false false

  • Q : What is Capital Outlay Capital Outlay

    Capital Outlay (CO): A character of expenses of funds to obtain land, plan and build new buildings, expand or transform existing buildings, and/or purchase tools associated to such construction.

    		•
  • Q : Would there be positive interest rates

    Normal 0 false false

    		•
  • Q : Describe primary reasons that companies

    Describe primary reasons that companies hold cash? Companies hold cash to make essential payments, to take benefit of opportunities as they arise, and to cover unforeseen emergencies.

    		•