Based on the dataset, apply Wagner Within method and calculate total costs for each period !

An item is manufactured to meet known demand for four periods according to the following data : Unit production cost (Euro per period) Production range (units) Period 1 Period 2 Period 3 Period 4 Machine 1 : 1-3 1 2 2 3 Machine 2 : 4-11 1 4 5 4 Machine 3 : 12-15 2 4 7 5 Machine 4 : 16-25 5 6 10 7 Unit holding cost to next period (Euro) 0.3 0.35 0.2 0.25 Total demand (units) 11 4 17 29 Conditions: 1. Each machine has production minimum and maximum capacity according to its production range. 2. Demand in each period must be satisfied within one period. 3. In each period, a machine cannot be used more than once.

• A. Period 1 : $ 11; Period 2 : $ 16; Period 3 : $106; Period 4 : $135
• B. Period 1 : $ 16.2; Period 2 : $ 0; Period 3 : $277.8; Period 4 : $0
• C. Period 1 : $ 102.25; Period 2 : $ 0; Period 3 : $0 ; Period 4 : $135
• D. Period 1 : $ 11; Period 2 : $ 83.95; Period 3 : $0 ; Period 4 : $79
• E. Period 1 : $ 11; Period 2 : $ 16; Period 3 : $279.25 ; Period 4 : $0