A single inventory item is ordered from an outside supplier. The anticipated demand for this item over the next 12 months is 6, 12, 4, 8, 15, 25, 20, 5, 10, 20, 5, and 4. Current inventory of this item is 4, and ending inventory should be 8. Assume a holding cost of $1 per period and a setup cost of $40. Determine the order policy for this item based on a. Determine lot sizing do you obtain with the capacity constrain. b. Determine the lot sizes using back-shifting.

A single inventory item is ordered from an outside supplier. The anticipated demand for this item over the next 12 months is 6, 12, 4, 8, 15, 25, 20, 5, 10, 20, 5, and 4. Current inventory of this item is 4, and ending inventory should be 8. Assume a holding cost of $1 per period and a setup cost of $40. Determine the order policy for this item based on a. Determine lot sizing do you obtain with the capacity constrain. b. Determine the lot sizes using back-shifting.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter3: Introduction To Optimization Modeling

Section3.8: A Multiperiod Production Model

Problem 22P

See similar textbooks

Similar questions

A single inventory item is ordered from an outside supplier. The anticipateddemand for this item over the next 12 months is 6, 12, 4, 8, 15, 25, 20, 5, 10, 20, 5,12. Current inventory of this item is 4, and ending inventory should be 8. Assume aholding cost of $1 per period and a setup cost of $40. Determine the order policyfor this item based ond. Which lot-sizing method resulted in the lowest cost for the 12 periods?
A single inventory item is ordered from an outside supplier. The anticipateddemand for this item over the next 12 months is 6, 12, 4, 8, 15, 25, 20, 5, 10, 20, 5,12. Current inventory of this item is 4, and ending inventory should be 8. Assume aholding cost of $1 per period and a setup cost of $40. Determine the order policyfor this item based ona. Silver–Meal.
A single inventory item is ordered from an outside supplier. The anticipateddemand for this item over the next 12 months is 6, 12, 4, 8, 15, 25, 20, 5, 10, 20, 5,12. Current inventory of this item is 4, and ending inventory should be 8. Assume aholding cost of $1 per period and a setup cost of $40. Determine the order policyfor this item based onb. Least unit cost
Demand for a power steering gear assembly is given by Period 1 2 3 4 5 6 7 8 9 10 Gear 14 12 12 13 5 90 20 20 20 20 Currently there are 50 parts on hand. The lot-sizing rule is, again, fixed order period using two periods. Lead time is three periods. Determine the planned order release schedule for the gear. Suppose each gear assembly requires two pinions. Currently there are 100 pinions on hand, the lot-sizing rule is lot-for-lot, and the lead time is one period. Determine the gross requirement and then the planned order release schedule for pinions.
A single inventory item is ordered from an outside supplier. The anticipateddemand for this item over the next 12 months is 6, 12, 4, 8, 15, 25, 20, 5, 10, 20, 5,12. Current inventory of this item is 4, and ending inventory should be 8. Assume aholding cost of $1 per period and a setup cost of $40. Determine the order policyfor this item based onc. Part period balancing
[item no. 11] In a single period inventory model, the demand is assumed to follow a normal distribution. The value of ML/(ML+MP) is 0.6. The company used marginal analysis with the normal distribution to determine the optimal stocking level X*. If the mean demand is 100, then X* a. is less than 100 b. is equal to 100 c. cannot be determined from the information given d. is greater than 100
The table below provides demand data for 6 weeks (weeks 31-36 for the current year) for one product. Inventory is managed with a periodic review system where T = 5 weeks and M = 280. The previous order was for 120 units at the end of week 28. The lead time is a constant 4 weeks. At the beginning of week 31 the inventory level is 130 units. Orders are made at the end of a week. 1. When is the next order? end of week __________ 2. How large is the next order? ___________ Week Demand Inventory 31 30 32 40 33 45 34 30 35 30 36 30
[item no. 8] In a single period inventory model, the demand is assumed to follow a normal distribution with mean=100 and variance=25. The value of ML=2 and the value of MP=4. The company used marginal analysis with the normal distribution to determine the optimal stocking level X*. What is the value of X* a. None of the above b. 111 c. 103 d. 102
A initially assume that Phi wants to minimize his inventory requirements. Assume that each order will be only for what is required for a single period. Calculate the net requirements and planned order releases for the gear boxes and input shafts. Assume that lot sizing is done using a lot-for-lot (L4L). Gear box requirements Week 1 2 3 4 5 6 7 8 9 10 11 12 Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release Input shaft requirements Week 1 2 3 4 5 6 7 8 9 10 11 12 Gross requirements Scheduled receipts Projected available balance Net requirements Planned order receipt Planned order release
DOGGE Ltd has annual demand of 50,000 desks and the purchase price of each desk is K250. There are ordering costs of K200 for each order placed. Inventory holding costs amount to 10% per year of inventory value. Calculate the inventory costs p.a. for the following order quantities, and plot them on a graph: 500 units, 750 units, 1000 units, 1250 units b) Using the information in (a) above calculate i) Economic Order Quantity and the total inventory costs for this order quantity.
A hospital must order the drug Porapill from DaisyDrug Company. It costs $500 to place an order and $30 toreview the hospital’s inventory of the drug. Annual demandfor the drug is N(10,000, 640,000), and it costs $5 to holdone unit in inventory for one year. Orders arrive one monthafter being placed. Assume that all shortages are backlogged.a Estimate R and the number of orders per year thatshould be placed.b Using the answer in part (a), determine the optimal(R, S) inventory policy. Assume that the shortage costper unit of the drug is $100.
Anticipated demands for a five-period planning horizon are 14, 3, 0, 26, 15. Current starting inventory is four units, and the inventory manager would like to have eight units on hand at the end of the planning horizon. Assume that h = 1 and K = 30. Find the optimal production schedule. (Hint: Modify the first and the last period’s demands to account for starting and ending inventories.)