Wetzel                                                                                                                                                   Math 122

Test #2

Read the questions carefully and completely answer each problem.

1.)  Given the following system,

                a.)  graph the solution.

            b.)  list the ordered pairs of the vertices.

                c.)  Where is the equation, , maximized?

                d.)  Where is it minimized?

2.)  A company has two skill levels of production workers, I and II.  A level I worker is paid $8.60 per hour and produces 15 items per hour.  The level II worker is paid $12.25 per hour and produces 22 items per hour.  The company is required to use at least 2600 employee hours per week, and it must produce at least 45,000 items per week. (Do not solve)

                a.)  Determine the constraints for finding how many hours per week the company should use each   skill level to minimize labor costs.

                b.)  State the objective equation.

3.)  Given the following,

                Maximize  with constraints,

                a.)  write as a simplex matrix.

                b.)  list all of the pivot elements.

                c.)   state the solution.

4.)  Solve the following using the algebraic approach.

                Minimize   , subject to