Write Code in C# with GUI

It is proposed to write a code allowing the resolution of a model (noted PL). it will be assumed that PL is written in Standard Form (PS) or Canonical (PC).i.e Max z = cx = (PS or PC) Ax sor = b x>0, Where the system of (in) equations has full rank. 1. Define a procedure/function that transforms a PL written in canonical form into a PL written in standard form. 2. Define a procedure / function that determine a pivot, following Bland's rule. 3. Define the procedure / function which allow passing from a current table Tk to a new table Tk+1, k 0. 4. In order to verify the transition from a solution to a neighboring solution, we propose to visualize the current admissible / feasible solution. Define the procedure / function allowing the display of the admissible solution. 5. Define a procedure / function that solve a PL. 6. Write a code allowing the resolution of the following PL (then generalize towards the resolution of any model): Write a code allowing the resolution of the following PL (then generates towards the resolution of any mode) (Max 4x1 + 5x2 2x1 + x2 PC X1 + 2x2 57 X2 0,1,2, and at a some time prints its optimal basis as well as the dictionary of its solution( it it exists)