Consider Problem P to minimize f(x) subject to g, (x) 0 for i= 1,..., m and h(x) = 0 for i = 1,..., . Suppose that this problem is reformulated as P: Minimize {f(x): g, (x) + s = 0 for i 1,..., m and h, (x)=0 for i = 1,..., l}. Write the KKT conditions for P and for P and compare them. Explain any difference between the two and what arguments you can use to resolve them. Express your opinion on using the formulation P to solve the problem. Consider Problem P to minimize f(x) subject to g, (x) 0 for i= 1,..., m and h(x) = 0 for i = 1,..., . Suppose that this problem is reformulated as P: Minimize {f(x): g, (x) + s = 0 for i 1,..., m and h, (x)=0 for i = 1,..., l}. Write the KKT conditions for P and for P and compare them. Explain any difference between the two and what arguments you can use to resolve them. Express your opinion on using the formulation P to solve the problem. Consider Problem P to minimize f(x) subject to g, (x) 0 for i= 1,..., m and h(x) = 0 for i = 1,..., . Suppose that this problem is reformulated as P: Minimize {f(x): g, (x) + s = 0 for i 1,..., m and h, (x)=0 for i = 1,..., l}. Write the KKT conditions for P and for P and compare them. Explain any difference between the two and what arguments you can use to resolve them. Express your opinion on using the formulation P to solve the problem. Consider Problem P to minimize f(x) subject to g, (x) 0 for i= 1,..., m and h(x) = 0 for i = 1,..., . Suppose that this problem is reformulated as P: Minimize {f(x): g, (x) + s = 0 for i 1,..., m and h, (x)=0 for i = 1,..., l}. Write the KKT conditions for P and for P and compare them. Explain any difference between the two and what arguments you can use to resolve them. Express your opinion on using the formulation P to solve the problem.