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.

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Description: 2.a)Ace construction company builds two kinds of driveway: asphalt and concrete. For atypical home, an asphalt driveway requires 4 tons of asphalt and 7 tons of gravel, whereasa concrete driveway requires 1 yard of concrete and 6 tons of gravel. Eac

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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Question

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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