Please answer and show work thank you.

Q3. (a) Write following LP model in STANDARD FORM (introduce SLACK variables appropriately) and explain briefly what you have done to write this in the Standard Form: Maximize 40X+30Y st. (1) 0.4x + 0.5Y =0 Find the optimal solution for the Standard Form. (b) Write the following LP model in STANDARD FORM (introduce SLACK/SURPLUS variables appropriately) and explain briefly what you have done to write this in the Standard Form: Minimize 2X+3Y X X+Y >=350 2X + Y=125 (1) (2) (3) and st. X,Y- Find the optimal solution for the Standard Form