Maximize (Z) = 5X1 + 6X2 + 4X3 Subject to: 2 X1 + 3 X2 + 6 X3 450 2 X1 + 3 X2 + 5 X3 300 3 X1 + 7 X2 + 8 X3 500 X1, X2, X3 0 a. Determine the optimum solution using simplex method b. Determine which resource has the lowest utilization rate and which resource has the highest level of utility.