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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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