a) Ace construction company builds two kinds of driveway: asphalt and concrete. For a typical home, an asphalt driveway requires 4 tons of asphalt and 7 tons of gravel, whereas a concrete driveway requires 1 yard of concrete and 6 tons of gravel. Each ton of asphalt costs $55, each ton of gravel costs $30, and each yard of concrete costs $67. During the current month, it is expected that 120 asphalt driveways and 95 concrete driveways will be Page 1 of 2 build. i. Write the quantities of driveways to be built and the materials cost as a matrix. ii. Write the amounts of materials to be used per driveway as a matrix. iii. Using matrix multiplication, determine the total expected materials costs. 2.
a) Ace construction company builds two kinds of driveway: asphalt and concrete. For a typical home, an asphalt driveway requires 4 tons of asphalt and 7 tons of gravel, whereas a concrete driveway requires 1 yard of concrete and 6 tons of gravel. Each ton of asphalt costs $55, each ton of gravel costs $30, and each yard of concrete costs $67. During the current month, it is expected that 120 asphalt driveways and 95 concrete driveways will be Page 1 of 2 build. i. Write the quantities of driveways to be built and the materials cost as a matrix. ii. Write the amounts of materials to be used per driveway as a matrix. iii. Using matrix multiplication, determine the total expected materials costs. 2.
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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![2.
a)
Ace construction company builds two kinds of driveway: asphalt and concrete. For a
typical home, an asphalt driveway requires 4 tons of asphalt and 7 tons of gravel, whereas
a concrete driveway requires 1 yard of concrete and 6 tons of gravel. Each ton of asphalt
costs $55, each ton of gravel costs $30, and each yard of concrete costs $67. During the
current month, it is expected that 120 asphalt driveways and 95 concrete driveways will be
Page 1 of 2
build.
i. Write the quantities of driveways to be built and the materials cost as a matrix.
ii. Write the amounts of materials to be used per driveway as a matrix.
iii. Using matrix multiplication, determine the total expected materials costs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae9c4fbf-0dab-41b0-a4ca-66d6816d0e57%2F906f3f5b-dc18-4457-b841-ca4ad082f248%2F11uvhd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.
a)
Ace construction company builds two kinds of driveway: asphalt and concrete. For a
typical home, an asphalt driveway requires 4 tons of asphalt and 7 tons of gravel, whereas
a concrete driveway requires 1 yard of concrete and 6 tons of gravel. Each ton of asphalt
costs $55, each ton of gravel costs $30, and each yard of concrete costs $67. During the
current month, it is expected that 120 asphalt driveways and 95 concrete driveways will be
Page 1 of 2
build.
i. Write the quantities of driveways to be built and the materials cost as a matrix.
ii. Write the amounts of materials to be used per driveway as a matrix.
iii. Using matrix multiplication, determine the total expected materials costs.
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