Thanks to a new Research realized by the Materials Engineering Department 2 processes can be used alternatively for the material used in producing PV Panels. A new entrepreneurial company is established to export that material to EUROPE with a company owned capital of $ 10,000 only. Production costs using first process (x1) is estimated as $6/Panel; using second process (x2) is estimated as $4. Both processes allow q amounts of production as calculated with the function below: q = 4x1 + 2x2 0.5x21 0.25x22 . a. Model this problem as a Non*Linear Programming problem (10 Points) b. choose a method to solve the problem it and explain why you chose that method (5 Points) c. Construct the necessary and sufficient conditions to solve the model using the method you chose

Thanks to a new Research realized by the Materials Engineering Departmen 2 processes can be used alternatively for the material used in producing PV Pannels. A new entrepreneurial company is established to export that material to EUROPE with a company owned capital of $10,000 only. Production costs using first process ( x1) is estimated as $6/ Pannel; using second process (x2) is estimated as $4. Both processes allow q amounts of production as calculated with the function below: q=4x1+2x20.5x210.25x22 a.Model this problem as a Non*Linear Programmiing problem b.Choose a method to solvethe problem it and explain why you chose that method c. Construct the necessary and sufficient conditions to solve the model using the method you chose