WSS company makes weatherproof surveillance systems for parking lots. Demand estimates for the next four quarters are 25, 9, 13, and 17 units. Prepare an aggregate plan that uses inventory, regular time, and over time, and backorders. Subcontracting is not allowed. The regular time capacity is 15 units for quarters 1 and 2, 18 units for quarters 3 and 4. Overtime capacity is 3 units per quarter. The regular time cost is $2000 per unit, while the overtime cost is $3000 per unit. Backorder costs $300 per unit per quarter; inventory holding costs $100 per unit per quarter. The beginning inventory is zero. How many total units will be produced in quarter 1 for delivery in quarter 1? How many units in total will be used to fill back orders over the four quarters? What is the cost to produce one unit in Quarter 4 using overtime to fill a back order in quarter one?

WSS company makes weatherproof surveillance systems for parking lots. Demand estimates for the next four quarters are 25, 9, 13, and 17 units. Prepare an aggregate plan that uses inventory, regular time, and over time, and backorders. Subcontracting is not allowed. The regular time capacity is 15 units for quarters 1 and 2, 18 units for quarters 3 and 4. Overtime capacity is 3 units per quarter. The regular time cost is $2000 per unit, while the overtime cost is $3000 per unit. Backorder costs $300 per unit per quarter; inventory holding costs $100 per unit per quarter. The beginning inventory is zero. How many total units will be produced in quarter 1 for delivery in quarter 1? How many units in total will be used to fill back orders over the four quarters? What is the cost to produce one unit in Quarter 4 using overtime to fill a back order in quarter one?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

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WSS company makes weatherproof surveillance systems for parking lots. Demand estimates for the next four quarters are 25, 9, 13, and 17 units. Prepare an aggregate plan that uses inventory, regular time and overtime and back orders. Subcontracting is not allowed. Regular time capacity is 15 units for quarters 1 and 2, 18 units for quarters 3 and 4. Overtime capacity is 3 units per quarter. Regular time cost is $2000 per unit, while overtime cost is $3000 per unit. Back order cost is $300 per unit per quarter; inventory holding cost is $100 per unit per quarter. Beginning inventory is zero. Questions At the end of quarter 3, what is the ending inventory of finished systems? Answer: No ending Inventory =0 What is the total cost? 15*2000 + 6*2300 +4*2600 + 9*2000 + 13*2000 + 17*2000 =$132, 200 What is the average cost per unit? Answer 132200 / 64 = $2,066.
Jill wants you to consider a hybrid aggregate plan, usingup to the maximum overtime per employee for any periodwhere demand cannot be satisfi ed with the current regular-timeproduction and the available inventory. Back orders can occur.(a) Show what would happen if this plan were implemented.(b) Calculate the costs associated with this plan.(c) Evaluate the plan in terms of cost, customer service,operations, and human resources
14.26. Calculate the available-to-promise row in the following matrix: Period On Hand = 100 1 2 3 4 5 6 Forecast 50 100 50 100 50 100 Customer Orders 50 125 75 175 45 15 Master Production 200 200 Schedule Available-to-Promise
LMNO Gaskets has formulated a production plan for a product to meet demand over the upcoming four quarters. Demand in each of the four quarters and production, overtime, and subcontracting capacities are reported in the table below, in addition to the feasible production plan. The relevant costs are: • Regular time production cost is $10/unit. Overtime production cost is $14/unit. Subcontracting cost is $18/unit Inventory is held at a cost of $1/unit/quarter. • Units may be backordered at a cost of $4/unit/quarter. Production Resource Regular Time Q1 Overtime Q1 Subcontract Q1 Regular Time Q2 Overtime Q2 Subcontract Q2 Regular Time Q3 Overtime Q3 Subcontract Q3 Demand in Quarter Demand in Quarter Q2 0 20 0 550 Q1 550 230 0 0 0 0 40 40 0 860 250 470 0 40 0 1330 What is the inventory cost for the year? What is the backorder cost for the year? What is the total cost for the year? Q3 0 0 0 0 0 30 510 160 0 700 What is the total overtime production cost for the year? Capacity 550 250 500…
Planners for a company that makes several models of skateboards are about to prepare the aggregate plan that will cover six periods. They have assembled the following information. Period 1 2 3 4 5 6 Total Forecast 200 200 300 400 500 200 1,800 Costs Output Regular time=$2 per skateboard Overtime =$3 per skateboard Subcontract =$6 per skateboard Inventory =$1 per skateboard per period on average inventory Back orders =$5 per skateboard per period They now want to evaluate a plan that calls for a steady rate of regular-time output, mainly using inventory to absorb the uneven demand but allowing some backlog. Prepare an aggregate plan and determine its cost using the preceding information.
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A strategy where the production rate is set to match expected demand.
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