Maximize P=12x+5y+3zSubject to: 2x+y+9z≤193x+y+12z≤270x+2y+5…
Maximize P=12x+5y+3zSubject to: 2x+y+9z≤193x+y+12z≤270x+2y+5z≤10x,y,z≥0Part a) Write the initial simplex tableau for the optimization problem. Part b) Explain how to determine the pivot column. Then state the pivot column. Part c) Explain how to determine the pivot row. Then state the pivot row. Part d) Complete one full pivot to your initial simplex tableau then stop.*In answer box, type in part b and part c answers only*