a.) A firm manufactures 3 products A, B and C. To produce 1 unit of product A, 1 hour of grinding, 2 hours of pressing and 3 hours of packing is required. To produce 1 unit of product B, 2 hours of grinding, 3 hours of pressing and 4 hours of packing is required respectively while for product C, 3 hours, 4 hours and 1 hour of grinding, pressing and packing are required respectively. If the firm uses 14 hours of grinding, 20 hours of pressing and 14 hours of packing for production, formulate the system of equations to find the number of units of product A, B and C produced by the firm. Solve the system using LU decomposition method.
a.) A firm manufactures 3 products A, B and C. To produce 1 unit of product A, 1 hour of grinding, 2 hours of pressing and 3 hours of packing is required. To produce 1 unit of product B, 2 hours of grinding, 3 hours of pressing and 4 hours of packing is required respectively while for product C, 3 hours, 4 hours and 1 hour of grinding, pressing and packing are required respectively. If the firm uses 14 hours of grinding, 20 hours of pressing and 14 hours of packing for production, formulate the system of equations to find the number of units of product A, B and C produced by the firm. Solve the system using LU decomposition method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:a.) A firm manufactures 3 products A, B and C. To produce 1 unit of product A, 1 hour of
grinding, 2 hours of pressing and 3 hours of packing is required. To produce 1 unit of product
B, 2 hours of grinding, 3 hours of pressing and 4 hours of packing is required respectively
while for product C, 3 hours, 4 hours and 1 hour of grinding, pressing and packing are
required respectively. If the firm uses 14 hours of grinding, 20 hours of pressing and 14 hours
of packing for production, formulate the system of equations to find the number of units of
product A, B and C produced by the firm. Solve the system using LU decomposition method.
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