John Wick is one of the expert of Commercial Credit Department of NY Continental Bank. Before he decides the approval of credit request of a firm, he has to compute its credit rating. The computation is made by a new-developed formula 3 3 7 2 + 3 and this gives the credit rating for per billions of capital(x). Since John works on just big firms which have billions of dollars annual revenue, billions of capital(x) of them takes values between -1 and 2. Now, he wants to know accuracy of the formula finding the capital(x) which gives the minimum credit rating in the given interval. Solve the following questions to consider the problem above:

1. Construct an NLP model. (Take a photo) 2. Solve the model by using Case Method. (Take a photo) 3. Solve the model by using Newtons Method. Take the initial trial solution as: 0.1*the last digit of your student number. (Take a photo) 4. Solve the model by using Bisection Method. (Take a photo) 5. Solve the model by using Golden Section Method. (Take a photo) 6. Solve the model by using GAMS. (.gms file)