Create LinearProgrammingExample.cs

Add C# version of linear_programming_example.cc.

ortools/linear_solver/samples/LinearProgrammingExample.cs

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+// Copyright 2010-2018 Google LLC
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+// Linear optimization example.
+// [START program]
+using System;
+using Google.OrTools.LinearSolver;
+
+public class LinearProgrammingExample
+{
+  static void Main()
+  {
+      // [START solver]
+      MPSolver solver = new MPSolver("LinearProgrammingExample", "GLOP_LINEAR_PROGRAMMING");
+      // [END solver]
+      // x and y are continuous non-negative variables.
+      // [START variables]
+      Variable x = solver.MakeNumVar(0.0, double.PositiveInfinity, "x");
+      Variable y = solver.MakeNumVar(0.0, double.PositiveInfinity, "y");
+      // [END variables]
+
+      // [START constraints]
+      // x + 2y <= 14.
+      Constraint c0 = solver.MakeConstraint(double.NegativeInfinity, 14.0);
+      c0.SetCoefficient(x, 1);
+      c0.SetCoefficient(y, 2);
+
+      // 3x - y >= 0.
+      Constraint c1 = solver.MakeConstraint(0.0, double.PositiveInfinity);
+      c1.SetCoefficient(x, 3);
+      c1.SetCoefficient(y, -1);
+
+      // x - y <= 2.
+      Constraint c2 = solver.MakeConstraint(double.NegativeInfinity, 2.0);
+      c2.SetCoefficient(x, 1);
+      c2.SetCoefficient(y, -1);
+      // [END constraints]
+
+      // [START objective]
+      // Objective function: 3x + 4y.
+      Objective objective = solver.Objective();
+      objective.SetCoefficient(x, 3);
+      objective.SetCoefficient(y, 4);
+      objective.SetMaximization();
+      // [END objective]
+
+      // [START solve]
+      solver.Solve();
+      // [END solve]
+
+      // [START print_solution]
+      Console.WriteLine("Number of variables = " + solver.NumVariables());
+      Console.WriteLine("Number of constraints = " + solver.NumConstraints());
+      // The value of each variable in the solution.
+      Console.WriteLine("Solution:");
+      Console.WriteLine("x = " + x.SolutionValue());
+      Console.WriteLine("y = " + y.SolutionValue());
+      // The objective value of the solution.
+      Console.WriteLine("Optimal objective value = " +
+                      solver.Objective().Value());
+      // [END print_solution]
+    }
+}
+// [END program]