(b) A factory makes three types of furniture: A, B, and C. Each furniture requires the services of three sections. The cutting, assembly and packaging sections have available a maximum of 60, 80, and 50 labour-hours per week, respectively. For furniture A, it takes 2 hours in cutting section, 2 hours in assembly and 4 hours in packaging. Meanwhile for fumiture B, it takes 2 hours in cutting section, 3 hours in assembly and 2 hours in packaging. Furniture C takes 3 hours in cutting section, 4 hours in assembly and an hour in packaging. Write the system of linear equations. Hence, determine how much furniture of each type must be produced each week for the factory to operate at full capacity using
(b) A factory makes three types of furniture: A, B, and C. Each furniture requires the services of three sections. The cutting, assembly and packaging sections have available a maximum of 60, 80, and 50 labour-hours per week, respectively. For furniture A, it takes 2 hours in cutting section, 2 hours in assembly and 4 hours in packaging. Meanwhile for fumiture B, it takes 2 hours in cutting section, 3 hours in assembly and 2 hours in packaging. Furniture C takes 3 hours in cutting section, 4 hours in assembly and an hour in packaging. Write the system of linear equations. Hence, determine how much furniture of each type must be produced each week for the factory to operate at full capacity using
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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