You are designing and building a deck in the backyard of your house. This deck must meet the following conditions: • It must be a rectangle with a length to width ratio somewhere between 1.25:1 and 2:1 inclusive ("inclusive" means it can be right on 1.25 or 2... think 1.25 ≤ l/w ratio < 2) • Each piece of wood purchased to build the deck is 6 inches wide and 12 feet long. You will leave ½ inch of space between each board. These pieces can be cut into shorter lengths to fit the design of the deck. Each piece of wood costs $7.99. • All of the nails, screws and brackets that you need for the deck cost $12.99. The deck is just off of the ground, so no railing is needed. The wood on the deck needs to be stained to protect it from the weather. A gallon of stain costs $19.99 and covers 100 square feet of area. You cannot buy a partial gallon of stain; it must be purchased by the gallon. • The final product will have exposed wood and an outdoor carpet. The area of the outdoor carpet must be % of the total area of the deck. You will stain the entire deck before placing the carpet on it. The outdoor carpet costs $1.50 per square foot. On the carpet will be a table and 4 chairs. The table costs $250 and each chair costs $40. Tax for your purchases is 8%. • •
You are designing and building a deck in the backyard of your house. This deck must meet the following conditions: • It must be a rectangle with a length to width ratio somewhere between 1.25:1 and 2:1 inclusive ("inclusive" means it can be right on 1.25 or 2... think 1.25 ≤ l/w ratio < 2) • Each piece of wood purchased to build the deck is 6 inches wide and 12 feet long. You will leave ½ inch of space between each board. These pieces can be cut into shorter lengths to fit the design of the deck. Each piece of wood costs $7.99. • All of the nails, screws and brackets that you need for the deck cost $12.99. The deck is just off of the ground, so no railing is needed. The wood on the deck needs to be stained to protect it from the weather. A gallon of stain costs $19.99 and covers 100 square feet of area. You cannot buy a partial gallon of stain; it must be purchased by the gallon. • The final product will have exposed wood and an outdoor carpet. The area of the outdoor carpet must be % of the total area of the deck. You will stain the entire deck before placing the carpet on it. The outdoor carpet costs $1.50 per square foot. On the carpet will be a table and 4 chairs. The table costs $250 and each chair costs $40. Tax for your purchases is 8%. • •
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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Transcribed Image Text:You are designing and building a deck in the backyard of your house. This deck must meet the following
conditions:
•
It must be a rectangle with a length to width ratio somewhere between 1.25:1 and 2:1 inclusive
("inclusive" means it can be right on 1.25 or 2... think 1.25 ≤ l/w ratio < 2)
•
Each piece of wood purchased to build the deck is 6 inches wide and 12 feet long. You will leave
½ inch of space between each board. These pieces can be cut into shorter lengths to fit the
design of the deck.
Each piece of wood costs $7.99.
• All of the nails, screws and brackets that you need for the deck cost $12.99.
The deck is just off of the ground, so no railing is needed.
The wood on the deck needs to be stained to protect it from the weather. A gallon of stain costs
$19.99 and covers 100 square feet of area. You cannot buy a partial gallon of stain; it must be
purchased by the gallon.
• The final product will have exposed wood and an outdoor carpet. The area of the outdoor
carpet must be % of the total area of the deck. You will stain the entire deck before placing the
carpet on it.
The outdoor carpet costs $1.50 per square foot.
On the carpet will be a table and 4 chairs. The table costs $250 and each chair costs $40.
Tax for your purchases is 8%.
•
•
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