You just got your first job in a chemical plant. You want to maximize the profit...

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You just got your first job in a chemical plant. You want to maximize the profit of a polypropylene process. The variables that you can control are feed flowrate, temperature, and pressure (no need for units here). You developed a model for profit as: M(F.P.T) = [(F-90) + 3(P+63)2 + 3(T - 89)]e-0.0003[(F-72)+5(P-36)+3(T-68)] Write a script that uses the Hessian matrix to determine the optimum profit, M and show that it is indeed a maximum (and not a minimum). You just got your first job in a chemical plant. You want to maximize the profit of a polypropylene process. The variables that you can control are feed flowrate, temperature, and pressure (no need for units here). You developed a model for profit as: M(F.P.T) = [(F-90) + 3(P+63)2 + 3(T - 89)]e-0.0003[(F-72)+5(P-36)+3(T-68)] Write a script that uses the Hessian matrix to determine the optimum profit, M and show that it is indeed a maximum (and not a minimum).

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To determine the optimum profit using the Hessian matrix and show that it is a maximum we need to fi... View the full answer