Based on the dataset, suppose that 10 additional units are needed in period 4. By using Wagner Within method, find the optimal solution, indicating the number of units to be produced in 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 : 21 units; Period 2 : 4 units; Period 3 : 17 units; Period 4 : 29 units

B. Period 1 : 32 units; Period 2 : 0 units; Period 3 : 0 units; Period 4 : 39 units

C. Period 1 : 42 units; Period 2 : 0 units; Period 3 : 0 units; Period 4 : 29 units

D. Period 1 : 11 units; Period 2 : 21 units; Period 3 : 0 units; Period 4 : 39 units

E. Period 1 : 15 units; Period 2 : 0 units; Period 3 : 56 units; Period 4 : 0 units