1. Chin Company produces door and window frames. Each window frame requires four hours of assembly and two hours of finishing. One door frame requires two hours of assembly and three hours of finishing. The company has available 60 hours of assembling time and 48 hours of finishing time. The profit of each window frame and door frame are RM50 and RM40 respectively. i) Formulate the problem as a linear programming model. ii) Find the number of items of each product that should be produced per week to maximize profit. (HINT: use graphical method) iii) Identify the binding or non-binding constraints. What can you conclude from your answers regarding the slack variables?

1. Chin Company produces door and window frames. Each window frame requires four hours of assembly and two hours of finishing. One door frame requires two hours of assembly and three hours of finishing. The company has available 60 hours of assembling time and 48 hours of finishing time. The profit of each window frame and door frame are RM50 and RM40 respectively. i) Formulate the problem as a linear programming model. ii) Find the number of items of each product that should be produced per week to maximize profit. (HINT: use graphical method) iii) Identify the binding or non-binding constraints. What can you conclude from your answers regarding the slack variables?

Name: 1. Chin Company produces door and window frames. Each window frame re
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Description: 1. Chin Company produces door and window frames. Each window frame requires four hours ofassembly and two hours of finishing. One door frame requires two hours of assembly and three hoursof finishing. The company has available 60 hours of assembling

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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1. Chin Company produces door and window frames. Each window frame requires four hours of
assembly and two hours of finishing. One door frame requires two hours of assembly and three hours
of finishing. The company has available 60 hours of assembling time and 48 hours of finishing time. The
profit of each window frame and door frame are RM50 and RM40 respectively.
i) Formulate the problem as a linear programming model.
ii) Find the number of items of each product that should be produced per week to maximize profit.
(HINT: use graphical method)
ii) Identify the binding or non-binding constraints. What can you conclude from your answers
regarding the slack variables?

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