Consider the following LP: max Z = x1 + 3x2 + 5x3 4^1 + 322 + 6х3

Extracted text: Consider the following LP: max Z = x1 + 3x2 + 5x3 4^1 + 322 + 6х3 < 20="" 3x1="" +="" 7x2="" +="" 5x3="">< 25="" x1,="" x2,="" x3="" 2="" 0="" say="" we="" use="" x4,="" x5="" as="" slack="" variables="" for="" the="" first="" and="" second="" constraint="" respectively.="" 8.="" if="" the="" objective="" changes="" to="" z="4.x1" +3x2="" +="" 8x3.="" (a)="" compute="" y"="" a="" –="" c".="" (b)="" why.="" will="" the="" original="" optimal="" solution="" still="" be="" feasible="" and="" optimal?="" explain="" (c)="" what="" is="" the="" new="" optimal="">