Math 2602 B1,B2                                                                           Homework  #12
                                         Due Thursday, April 14, 2005

    i) Sketch the region  S in 3-space determined by the following linear inequalities.

                                  2x + 4y  < 12
                                  2x + 3y + 2z  < 10

                                  x,y,z  >  0


















   ii)  Find the maximum value of  f ( x , y , z ) = x + 2y + z on S using the simplex algorithm.