--%>
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 : Purchasing power parity of US and

    Under what condition would the U.S. dollar and the Canadian dollar said to be have achieved purchasing power parity? The U.S. dollar and the Canadian dollar would be assumed to have achieved purchasing power parity while the exchange rate reflec

    		•
  • Q : Order Quantity-Cycle Inventory-Safety

    Consider the following data pertaining to a distribution center.

    Q : Health finance 7.2 The audiology

    7.2 The audiology department at Randall Clinic offers many services to the clinic's patients. The three most common, along with cost and utilization data, are as follows: Service Variable Cost Annual Direct Annual # Visits per Service Fixed Costs Basic exam $5 $50,000 3,000 Advanced examination $7 $

    		•
  • Q : How do mergers influence consumers How

    How do mergers influence consumers?The effects mergers have on consumers differ widely. There may be some inconvenience and anxiety while a customer's bank or branch is obtained. The issuance of new account numbers and new checks is a familiar h

    		•
  • Q : Alphas balance of payments Normal 0

    Normal 0 false false

    		•
  • 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 : Explain Urgency Statute or Legislation

    Urgency Statute or Legislation: It is a measure which includes an “urgency clause” requiring it to take effect instantly on the signing of the measure by the Governor and the filing of the signed bill with the Secretary of State. The Urgen

    		•
  • Q : Do mergers result in layoffs Do mergers

    Do mergers result in layoffs?Entire employment in the banking industry in fact has increased slightly over the last ten years. Some mergers do result in layoffs. Though, several banks demolish their staff largely through attrition to ease the tr

    		•
  • Q : Compare diversifiable and non

    Compare diversifiable and non diversifiable risk. Which do you think is more significant to financial managers within a business firms?Diversifiable risk can be dealt along with by, of course, diversifying. Generally non diversifiable risk is co

    		•
  • 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.

    		•