Construction A building contractor has agreed to build six

Chapter 7, Problem 7.1.1.140

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Construction A building contractor has agreed to build six ranch-style houses, seven Cape Cod-style houses, and 14 colonial-style houses. The number of units of raw materials that go into each type of house are shown in the matrix

Assume that steel costs $1600 a unit, wood $900 a unit, glass $500 a unit, paint $100 a unit, and labor $1000 a unit.

(a) Write a \(1 \times 3) matrix B that represents the number of each type of house to be built.

(b) Write a matrix product that gives the number of units of each raw material needed to build the houses.

(c) Write a \(5 \times 1\) matrix C that represents the per unit cost of each type of raw material.

(d) Write a matrix product that gives the cost of each house.

(e) Writing to Learn Compute the product BRC. What does this matrix represent?

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