Coding not required, just would like to understand the solution

1. A company supplies goods to three customers, who require 40, 50 and 40 units respectively. The company has three warehouses, each of which has 30 units available. The costs of shipping 1 unit from each warehouse to each customer are shown in the table below To From Customer 1 Customer 2 Customer 3 Warehouse 1 $35 $15 $25 $50 $40 $10 $20 $40 $30 Warehouse 2 Warehouse 3 There is a penalty for unmet demand: With customer 1, a penalty cost of $70 per unit is incurred; with customer 2, $75 per unit; and with customer 3, $65 per unit. The company needs to minimize the total cost. (a) Non-coding. Formulate the problem as a balanced transportation prob- lem by adding a dummy warehouse. Write down the mathematical for mulation, including the definition of variables, the objective function and all constraints. (b) Coding. Create a Jupyter notebook named company.ipynb to solve the problem. Display values of all variables. (The optimal value is $4,950.) 1. A company supplies goods to three customers, who require 40, 50 and 40 units respectively. The company has three warehouses, each of which has 30 units available. The costs of shipping 1 unit from each warehouse to each customer are shown in the table below To From Customer 1 Customer 2 Customer 3 Warehouse 1 $35 $15 $25 $50 $40 $10 $20 $40 $30 Warehouse 2 Warehouse 3 There is a penalty for unmet demand: With customer 1, a penalty cost of $70 per unit is incurred; with customer 2, $75 per unit; and with customer 3, $65 per unit. The company needs to minimize the total cost. (a) Non-coding. Formulate the problem as a balanced transportation prob- lem by adding a dummy warehouse. Write down the mathematical for mulation, including the definition of variables, the objective function and all constraints. (b) Coding. Create a Jupyter notebook named company.ipynb to solve the problem. Display values of all variables. (The optimal value is $4,950.)