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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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