A Contractor/foreman needs lumber to be used for wooden scaffoldings, the set of lumber can be purchase with two options: 1. 40 pcs. of 2 inches by 2 inches by 10 ft, 60 pcs. of 2 inches by 3 inches by 12 ft, and 10 pcs. of 2 inches by 6 inches by 8 ft of good lumber. 2. 40 pcs. of 2 inches by 3 inches by 10 ft, 60 pcs. of 2 inches by 4 inches by 12 ft, and 10 pcs. of 2 inches by 6 inches by 8 ft of coco lumber. Determine: a) The amount of each option if the cost per board foot is Php. 45.50 and 32.75 for good lumber and coco lumber respectively.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A Contractor/foreman needs lumber to be used for wooden scaffoldings, the set
of lumber can be purchase with two options:
1. 40 pcs. of 2 inches by 2 inches by 10 ft, 60 pcs. of 2 inches by 3 inches by 12
ft, and 10 pcs. of 2 inches by 6 inches by 8 ft of good lumber.
2. 40 pcs. of 2 inches by 3 inches by 10 ft, 60 pcs. of 2 inches by 4 inches by 12
ft, and 10 pcs. of 2 inches by 6 inches by 8 ft of coco lumber.

Determine:
a) The amount of each option if the cost per board foot is Php. 45.50 and
32.75 for good lumber and coco lumber respectively.

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