A manufacturer produces bicycles and motorcycles, each of which must be processed through two machine centers. Machine Center 1 has a maximum of 120 hours availability and Machine Center 2 has a maximum of 180 hours availability. A bicycle requires six (6) hours in Machine Center 1 and three (3) hours in Machine Center 2. Manufacturing a motorcycle requires four (4) hours in Machine Center 1 and 10 hours in Machine Center 2. If the profit is P450 for each bicycle and P2,500 for a motorcycle, determine the number of bicycles and the number of motorcycles to produce to maximize the profit, considering that the number of motorcycles must not exceed 12 units and bicycles must be at least 10 units. Linear Programming using Simplex Method
A manufacturer produces bicycles and motorcycles, each of which must be processed through two machine centers. Machine Center 1 has a maximum of 120 hours availability and Machine Center 2 has a maximum of 180 hours availability. A bicycle requires six (6) hours in Machine Center 1 and three (3) hours in Machine Center 2. Manufacturing a motorcycle requires four (4) hours in Machine Center 1 and 10 hours in Machine Center 2. If the profit is P450 for each bicycle and P2,500 for a motorcycle, determine the number of bicycles and the number of motorcycles to produce to maximize the profit, considering that the number of motorcycles must not exceed 12 units and bicycles must be at least 10 units. Linear Programming using Simplex Method
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 71P
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A manufacturer produces bicycles and motorcycles, each of which must be processed through two machine centers. Machine Center 1 has a maximum of 120 hours availability and Machine Center 2 has a maximum of 180 hours availability. A bicycle requires six (6) hours in Machine Center 1 and three (3) hours in Machine Center 2. Manufacturing a motorcycle requires four (4) hours in Machine Center 1 and 10 hours in Machine Center 2. If the profit is P450 for each bicycle and P2,500 for a motorcycle, determine the number of bicycles and the number of motorcycles to produce to maximize the profit, considering that the number of motorcycles must not exceed 12 units and bicycles must be at least 10 units.
Linear Programming using Simplex Method
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