Hi can someone show me the step by step answer on this question? Find the initial solution using the Northwest Corner Rule. Determine the optimal solution using Stepping Stone Method.

With profit maximization as a criterion, more instruction is listed on the picture please carefully. on picture 2 png

1.) The GMS Inc. has one-year contract to supply motors for all refrigerators produced by the 333 Inc. which manufactures refrigerators at three locations around the metropolis: Makati, Manila, and Mandaluyong. Plans call for the following number of refrigerators to be produced at each location. Legarda Sta. 0ng 20 Caloocan GMS Inc. has three plants that are capable of producing the motors. The plants and production capacities are Makati Manila 45 Mandaluyong Because of 1lrarying production and transportation costs1 the prot that GMS earns on each motor depends on which plant produced the motor and which destination it was shipped to. The following table gives the accounting department estimates of the prot per unit. Produced At 3\"\" '5\" T\" . With prot maximization as a criterion, GMS Inc. wants to determine how many motors should be produced at each plant and how many motors should be shipped from each plant to each destination. Find the initial solution using the Northwest Comer Rule. Deten'nine the optimal solution using Stepping Stone Method. Note: You first establish the mathematical model for the problem, set up the initial feasible solution using the Northwest Comer Rule and compute for the stone squares. Aftenyards, you compute for closed path and improvement indices for the initial tableau. Note that in establishing the stepping stone method, you use the current solution to create a unique stepping-stone path for each unused square. Use these paths to calculate the opportunity costs of introducing each unused square into the solution