Q2) Consider the following problem [total points= 30] Maximize Z=4x1+5x2+3x3 subject to x1+x2+2x320 (Resource-1) 15x1+6x25x350 (Resource-2) x1+3x2+5x330 (Resource-3) and x10,x20,x30 a) Work through the simplex method step by step to find the solution (if exists) and show all operations for all rows and iterations (do not make more than 3 iterations) b) What are the slack/surplus values for resource-2 and resource-3