5.2-1. Consider the following problem. Maximize Z = 8x; + 4x2 + 6.763 + 3174 + 915, subject to x1 + 2x2 + 3x3 + 31;; i: 180 (resource 1) 4x1 + 3x2 + 2x3 + x4 + x5 5 270 (resource 2) x1 + 3x2 + x4 + 3x5 5 180 (resource 3) and Xiao, j=15"'55- You are given the facts that the basic variables in the optimal so- lution are x3, x1, and x5 and that 3 1 0 '1 1 11 3 1 2 4 1 =5 6 9 -3 . 0 1 3 2 3 10 (3) Use the given information to identify the optimal solution. 03) Use the given information to identify the shadow prices for the three resources