Joe Barrow, head of the firm, must decide the optimal number of each class of container to pack each week.

He is bound by the previously mentioned resource restrictions but also decides that he must keep his six fulltime

packers employed all 240 hours (6 workers 40 hours) each week.

Formulate and solve this problem, using the simplex method.

T3.6 Set up a complete initial tableau for the data (repeated below) that were first presented in Solved Problem T3.1.

Minimize cost = 4X1 + 1X2 + 0S1 + 0S2 + MA1 + MA2

Subject to: 3X1 + 1X2 + 1A1 = 3

4X1 + 3X2 1S1 + 1A2 = 6

1X1 + 2X2 + 1S2= 3

a) Which variable will enter the solution next?

b) Which variable will leave the solution?