Question: A company must meet the following demands for a product: January, 25 units; February, 30 units; March, 40 units. Demand may be backlogged at a cost of $5/ unit/month. All demand must be met by the end of March. Thus, if 1 unit of January demand is met during March, a backlogging cost of 52 = $10 is incurred. Monthly production capacity and unit production cost during each month are given in following table. A holding cost of $10/ unit is assessed on the inventory at the end of each month. (1.1) Formulate a balanced transportation problem that could be used to determine how to minimize the total cost (including backlogging, holding, and production costs) of meeting demand. (1.2) Use the minimum cost method to find a basic feasible solution. (1.3) Check whether the solution you obtained in (1.2) is optimal. If not, please continue with the Simplex method to find the optimal solution. (1.4) Resolve the TP when the demand in March decreases to 30 units