Assuming that decision variables are y1, . . . , y3, identify the objective function

f, constraint functions gi, and right-hand sides bi of the general mathematical programming format 2.27 corresponding to each of the following optimization models.

(a) max 1y122y2>y3 s.t. y1 + y2 + y3 + 7 = 20 2y1 Ú y2 - 9y3 y1, y3 Ú 0

(b) min 13y1 + 22y2 + 10y2y3 + 100 s.t. y1 + 5 Ú y2 - 9y3 8y2 Ú 4y3 y1, y2 Ú 0, y3 … 0