Purchase Solution

Matrix and word problem

Not what you're looking for?

Ask Custom Question

A contractor employs carpenters, electricians, and plumbers, working three shifts per day. The number of labor-hours required for carpenters in shift 1 is 40 hours, electricians in shift 1 is 28 hours, and plumbers in shift 1 is 9 hrs. The number of labor-hours required for carpenters in shift 2 is 18 hours, electricians in shift 2 is 32 hours, and plumbers in shift 2 is 15 hours. The number of labor-hours required for carpenters in shift 3 is 10 hours, electricians in shift 3 is 15 hours, and plumbers in shift 3 is 5 hours. Labor in shift 1 costs $11.00 per hour, shift 2 $12.50 per hour, and shift 3 $13.90 per hour.

Write a matrix A that denotes the amount of labor-hours based on shifts and each type of labor (carpenter, electrician, or plumber).

Write a column vector B representing labor costs per shift.

Perform the multiplication AB and explain what this product represents.

Purchase this Solution
Solution Summary

This provides an example of setting up a matrix for a word problem.

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

View More Free Quizzes
Related BrainMass Solutions

  • matrix of solving real world problem

    139958 Matrix to Word Problem Need help making a matrix into a word problem. See attached file for full problem description.

  • Writing a Word Problem from a System of Equations

    149646 Writing a Word Problem from a System of Equations Details: From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations

  • Augmented matrix and a real world problem

    175390 Augmented Matrix and a Real World Problem From the following augmented matrix (see attachment), first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations

  • Create a real world word problem from an augmented matrix.

    A real world word problem is created from an augmented matrix and an error is corrected in the solution to an equation. The solution is detailed and well presented.

  • Matrix Word Problem

    280100 Matrix Word Problem Please answer the following Matrix Word Problem, and number 10, 22, and 30. Please show all your work in steps.

  • Real-World Augmented Matrix Problem

    231446 Real-World Augmented Matrix Problem From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.

  • Finding eigenvalues of a matrix

    103997 Find the eigenvalues of the given 2x2 matrix. Find the eigenvalues of the following matrix U = mat(2 4; 3 1). See Word document for a clearer version of the problem.

  • Linear Algebra: Linear Transformations - Rotations

    in a Word document attached.

  • Working With Matrices

    The solution is detailed and well presented in an attached Word document.

  • Matrix Measuring Conflict Handling Modes

    537324 Matrix Measuring Conflict Handling Modes Describe how and why a matrix measuring conflict handling modes can be used by mediators to assist in managing conflict created within meetings. 320 word essay with reference.

View More Related Solutions