a. Formulate a linear programming model and write down the mathematical model for this problem. Let Hi = Number of hours to assign each consultant to each project So = The suitability of each consultant to each project Wi = Hourly wage of each consultant (for i = A, B, C, D, E, F; j = 1 to 8) Maximize Total Utility = _ Hy * Sjj (for i = A, B, C, D, E, F; j = 1 to 8) Subject to - Hours Used