Ace construction company builds two kinds of the 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 built. 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.
Ace construction company builds two kinds of the 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 built.
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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