Suppose that you now have the option of making trade-offs in the profitability of the first two activities, whereby the objective function coefficient of x1 can be increased by any amount by simultaneously decreasing the objective function coefficient of x2 by the same amount. Thus, the alternative choices of the objective function are Z() (2  )x1  (1  )x2  x3, where any nonnegative value of  can be chosen.

Construct a table like Table 6.26 to perform parametric linear programming analysis on this problem. Determine the upper bound on  before the original optimal solution would become nonoptimal. Then determine the best choice of  over this range.