--%>
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 : Describes why reserves are an asset to

    Normal 0 false false

    		•
  • Q : Describe factors affecting minimum cash

    Describe the factors affecting the option of a minimum cash balance amount. The minimum cash balance amount is find out by how easy it is to increase funds when needed, how predictable the cash flows are, and how risk averse managers are.

    		•
  • Q : Define Subcommittee Subcommittee : The

    Subcommittee: The smaller groupings into which the Senate or Assembly committees are frequently divided. For illustration, the fiscal committees which hear the Budget Bill are classified into subcommittees usually by departments or subject area (examp

    		•
  • Q : Shapes of marginal-cost and the

    Normal 0 false false

    		•
  • Q : What do you mean by Without Regard To

    What do you mean by Without Regard To Fiscal Year (WRTFY): Where an appropriation has no period of restriction on its accessibility.

    		•
  • Q : What is Out-of-State Travel blanket

    Out-of-State Travel (OST) blanket: The request by a state agency for Governor’s Office approval of the proposed out-of-state trips to be taken by that agency’s personnel throughout the fiscal year.

    		•
  • Q : State Section 31.00 Section 31.00 : It

    Section 31.00: It is a Control Section of Budget Act which specifies some administrative procedures. For illustration, the section subjects to the Budget Act appropriations to different sections of the Government Code, restricts the new positions a de

    		•
  • Q : Crowding out influence Normal 0 false

    Normal 0 false false

  • Q : Four supply factors of economic growth

    Normal 0 false false

  • Q : Reducing payroll costs It is likely

    It is likely that in the next few years, employers will face incresing pressures to reduce their payroll costs. critically evaluate the range of ways by which payroll costs can be reduced whilst taking into account the need to maintain a focus on the

    		•