Ace Construction Company builds two kinds of driveways: asphalt and concrete. For a typical home, an asphalt driveway requires 2 tons of asphalt and 3 tons of gravel; whereas a concrete driveway requires 1 yard of concrete and 4 tons of gravel. Each ton of asphalt costs $50, each ton of gravel costs $25, and each yard of concrete cost $30.During the current month, it is expected that 100 asphalt driveways and 75 concrete driveways will be built. a. Write the quantities of driveways to be built as a matrix? b. Write the amounts of materials to be used per driveway as a matrix? c. Write the materials costs as a matrix? d. Using matrix multiplication, determine the total expected materials costs?
Ace Construction Company builds two kinds of driveways: asphalt and concrete. For a typical home, an asphalt driveway requires 2 tons of asphalt and 3 tons of gravel; whereas a concrete driveway requires 1 yard of concrete and 4 tons of gravel. Each ton of asphalt costs $50, each ton of gravel costs $25, and each yard of concrete cost $30.During the current month, it is expected that 100 asphalt driveways and 75 concrete driveways will be built. a. Write the quantities of driveways to be built as a matrix? b. Write the amounts of materials to be used per driveway as a matrix? c. Write the materials costs as a matrix? d. Using matrix multiplication, determine the total expected materials costs?
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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Ace Construction Company builds two kinds of driveways: asphalt and
concrete. For a typical home, an asphalt driveway requires 2 tons of
asphalt and 3 tons of gravel; whereas a concrete driveway requires 1 yard
of concrete and 4 tons of gravel. Each ton of asphalt costs $50, each ton
of gravel costs $25, and each yard of concrete cost $30.During the
current month, it is expected that 100 asphalt driveways and 75 concrete
driveways will be built.
a. Write the quantities of driveways to be built as a matrix?
b. Write the amounts of materials to be used per driveway as a matrix?
c. Write the materials costs as a matrix?
d. Using matrix multiplication, determine the total expected materials
costs?
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