I really just need part C

2. (APP) Elise oversees production planning at Tuscaloosa Shirt Company, which makes game day apparel. In preparation for football season, she needs to create an aggregate production plan (APP) for January through July (months 1 through 7). Estimated demand for those months: 130, 175, 220, 230, 185, 215, and 200. Starting inventory is 50 , and she wants to end the month of July with 250 just in case Bama makes it to the national championship. The per unit regular production cost is $15, overtime production cost is $18, and subcontracting cost is $20. The monthly capacity for regular production is 160 units, overtime production is 40 units, and subcontracting is 10 units. The inventory holding cost is $4 per unit per month. Elise formulates this APP as a transportation problem. (a) Backordering is NOT allowed. Determine: - All supply nodes: - All demand nodes: - Number of supply nodes: - Number of demand nodes: - Number of arcs: - Arc cost for regular production in March to satisfy demand in June - Arc cost for overtime production in January to satisfy demand in April (b) Backordering is allowed, and the backordering cost is $6 per unit per month. Determine: - Arc cost for regular production in March to satisfy demand in January - Arc cost for subcontracting in January to satisfy demand in April (c) Elise plans to determine workforce levels, production levels, and inventory levels, based on regular production only. Each worker can produce 20 units per month through regular production. She currently has 4 workers, and it costs $500 to hire a worker, and $100 to fire a worker. Backordering is NOT allowed. She formulates this APP as an integer programming problem. Clearly define all decision variables and parameter values, and write down the APP formulation to determine workforce levels, production levels, and inventory levels over the next 7 months