MAT - 122 - Applied Mathematics I

Topics include a review of algebra; linear equations and inequalities, matrices, systems of equations; linear programming; and probability.

Prerequisite(s)

MAT-062, MAT-087, or MAT-089 (minimum grade C-) or placement of MAT-091 or higher.

Problems

  1. Solve the following system using Guass-Jordan:
    2x-3y = 2
    x-y = 2
  2. The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring, versus 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $30 and on an SST ring is $40?
  3. Find the odds in favor of drawing a red marble when a marble is selected at random from a bag containing 2 yellow, 5 red, and 6 green marbles.

Answers/Solutions

  1. x=4, y=2
  2. 0 VIP, 24 SST
  3. 6:7