*1. In Example 7.5-2, find the first critical value, tl , and define the vectors of B1 in each of the following cases:

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(a) bet) = (40 + 2t, 60 - 3t,30 + 6t)T

(b) bet) = (40 - t,60 + 2t,30 - 5t)T

*2. Study the variation in the optimal solution of the following parameterized Lp, given t ~ O.

Minimize z = 4XI + X2 + 2x3 subject to 3XI + X2 + 2x3 = 3 + 3t 4Xl + 3X2 + 2X3 ~ 6 + 2t Xl + 2X2 + 5X3 :5 4 - t