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Finite Mathematics - Quiz 4 Questions - Fall 2009 | MATH 1630, Quizzes of Mathematics

Material Type: Quiz; Class: Finite Mathematics; Subject: Mathematics; University: Walters State Community College; Term: Spring 2009;

Typology: Quizzes

Pre 2010

Uploaded on 08/18/2009

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MATH 1630 Internet
Spring 2009 Quiz 4 Name:
You must show all work to receive full credit. Round all decimal answers to the nearest hundredth.
This quiz includes material from sections 3.3, 4.1, and 4.2.
1. (6 points) The following matrix represents a system of linear equations. Solve this system of equations by
staying entirely in matrix form and showing all work. There should be no x’s or y’s on your paper until the
final answer.
476
347
⎡⎤
⎢⎥
⎣⎦
2. (6 points) The following matrix represents a system of linear equations. Use the Gauss-Jordan Elimination
Method to solve this system of equations. Stay entirely in matrix form and show all work. There should be no
x’s or y’s on your paper until the final answer.
12 310
2148
33 114
⎡⎤
⎢⎥
⎢⎥
⎢⎥
⎣⎦
pf3
pf4
pf5

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Download Finite Mathematics - Quiz 4 Questions - Fall 2009 | MATH 1630 and more Quizzes Mathematics in PDF only on Docsity!

MATH 1630 Internet Spring 2009 Quiz 4 Name:

You must show all work to receive full credit. Round all decimal answers to the nearest hundredth.

This quiz includes material from sections 3.3, 4.1, and 4.2.

  1. (6 points) The following matrix represents a system of linear equations. Solve this system of equations by staying entirely in matrix form and showing all work. There should be no x’s or y’s on your paper until the final answer.

4 7 6 3 4 7

  1. (6 points) The following matrix represents a system of linear equations. Use the Gauss-Jordan Elimination Method to solve this system of equations. Stay entirely in matrix form and show all work. There should be no x’s or y’s on your paper until the final answer.

1 2 3 10 2 1 4 8 3 3 114

  1. (6 points) Below is a system of equations. Write its corresponding matrix below. Enter the matrix in your calculator and use it to solve this system (do not solve by hand). Write the solution matrix from your calculator, and write the solution in the form x =, y =, and z =. Showing all work, demonstrate why this is the solution.

3 6 9 3 2 0 5 5 7 63

x y z x y z x y z

⎧^ −^ +^ −^ =

  1. (6 points) Enter the matrix in your calculator and have it determine the solution matrix. Use the Math/Frac option in the calculator when solving. Do not solve this matrix by hand. Write the solution matrix using the fractions. There are infinite solutions - I want you to interpret the solution matrix and calculate two specific solutions (showing all work and using the fractions).

3 2 2 2 2 1 3 2 3

x y z x y z x y

⎧^ +^ +^ =

  1. (8 points) Graph the solution to the system of inequalities. Showing all work, calculate the coordinates of the corner points.

4 12 3 0, 0

x y x y x y

Calculation of corner points:

  1. A firm manufactures two types of printers, an inkjet printer and a laser printer. The company can make a total of 60 printers per day, and it has 120 labor-hours per day available. It takes 1 labor-hour to make an inkjet printer and 3 labor-hours to make a laser printer. The profits are $40 per inkjet printer and $60 per laser printer. Determine the number of each type of printer the company should make to maximize profit. I expect to see
    1. indication of what your variables represent;
    2. system of inequalities;
    3. graph of the solution area for this system on the set of axes provided;
    4. calculations for the determination of all corner points;
    5. calculations for which corner point to select.
    6. statement of the final solution. **_1. Indicate what your variables represent. (2 points)
  2. System of Inequalities including the equation that is to be maximized or minimized (5 points)
  3. Graph of the solution area for this system_** (set of axes on the next page) (draw your graph carefully – neatness counts) (5 points)