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Chaka Furniture makes chairs, arm-chairs and sofas, the profits are Php 60 per chair, Php 70 per arm-chair and Php 90 per sofas. The material used to manufacture these items are fabric and wood. A supplier can provide a maximum of 310 meters of fabric and 360 units of wood each week. Each item requires a certain amount of wood and fabric as well as certain assembly time. These are given in the following table. Fabric Wood 2m 6 units 5m 4 units. 8m 5 units Available/ week 310m 360 units chair arm- chair sofa Ass. time 8 hrs 4 hrs 5 hrs 480 hrs How many chairs, arm-chairs and sofas that the company should make per week so that the total profit is maximized?

Chaka Furniture makes chairs, arm-chairs and sofas, the profits are Php 60 per chair, Php 70 per arm-chair and Php 90 per sofas. The material used to manufacture these items are fabric and wood. A supplier can provide a maximum of 310 meters of fabric and 360 units of wood each week. Each item requires a certain amount of wood and fabric as well as certain assembly time. These are given in the following table. Fabric Wood 2m 6 units 5m 4 units. 8m 5 units Available/ week 310m 360 units chair arm- chair sofa Ass. time 8 hrs 4 hrs 5 hrs 480 hrs How many chairs, arm-chairs and sofas that the company should make per week so that the total profit is maximized?

Advanced Engineering Mathematics
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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Chaka Furniture makes chairs, arm-chairs and sofas, the profits are Php 60 per chair, Php 70 per arm-chair and Php 90 per sofas. The material used to manufacture these items are fabric and wood. A supplier can provide a maximum of 310 meters of fabric and 360 units of wood each week. Each item requires a certain amount of wood and fabric as well as certain assembly time. These are given in the following table. Wood 6 units 4 units. 5 units Available/ week 310m 360 units Fabric 2m 5m 8m chair arm- chair sofa Ass. time 8 hrs 4 hrs 5 hrs 480 hrs How many chairs, arm-chairs and sofas that the company should make per week so that the total profit is maximized?
Transcribed Image Text:Chaka Furniture makes chairs, arm-chairs and sofas, the profits are Php 60 per chair, Php 70 per arm-chair and Php 90 per sofas. The material used to manufacture these items are fabric and wood. A supplier can provide a maximum of 310 meters of fabric and 360 units of wood each week. Each item requires a certain amount of wood and fabric as well as certain assembly time. These are given in the following table. Wood 6 units 4 units. 5 units Available/ week 310m 360 units Fabric 2m 5m 8m chair arm- chair sofa Ass. time 8 hrs 4 hrs 5 hrs 480 hrs How many chairs, arm-chairs and sofas that the company should make per week so that the total profit is maximized?
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