Ram Roy’s firm has developed the following supply, demand, cost, and inventory data. Allocate production capac-ity to meet demand at a minimum cost using the transportation method. What is the cost? Assume that the initial inventory has noholding cost in the first period and backorders are not permitted.Supply AvailablePERIODREGULARTIME OVERTIME SUBCONTRACT DEMANDFORECAST1 30 10 5 402 35 12 5 503 30 10 5 40Initial inventory 20 unitsRegular-time cost per unit $100Overtime cost per unit $150Subcontract cost per unit $200Carrying cost per unit per month $ 4

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
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Ram Roy’s firm has developed the following supply,

demand, cost, and inventory data. Allocate production capac-
ity to meet demand at a minimum cost using the transportation

method. What is the cost? Assume that the initial inventory has no
holding cost in the first period and backorders are not permitted.
Supply Available
PERIOD
REGULAR
TIME OVERTIME SUBCONTRACT

DEMAND
FORECAST
1 30 10 5 40
2 35 12 5 50
3 30 10 5 40
Initial inventory 20 units
Regular-time cost per unit $100
Overtime cost per unit $150
Subcontract cost per unit $200
Carrying cost per unit per month $ 4

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