Formulate an integer program and solve using Lingo or any other software package you prefer then give objective function value in the end.

Al-Qahtani for Pipes has an order from Saudi Aramco to supply pipes according to the following schedule: Week 8 9 10 11 12 Demand 8 D9 D10 DII D12 The pipes are produced in lots of N pipes. Multiple lots can be produced simultaneously. The production time is Tweeks. The setup cost is S and it is incurred regardless of the number of lots. The cost of holding one pipe for one week is h. All pipes remaining after the last week will be scrapped at a cost H. This cost is not per pipe. Input Parameters NS h H 8 20 5000 25 250 50 Demand of Week 9 10 50 80 100 T 4 11 12 50 Al-Qahtani for Pipes has an order from Saudi Aramco to supply pipes according to the following schedule: Week 8 9 10 11 12 Demand 8 D9 D10 DII D12 The pipes are produced in lots of N pipes. Multiple lots can be produced simultaneously. The production time is Tweeks. The setup cost is S and it is incurred regardless of the number of lots. The cost of holding one pipe for one week is h. All pipes remaining after the last week will be scrapped at a cost H. This cost is not per pipe. Input Parameters NS h H 8 20 5000 25 250 50 Demand of Week 9 10 50 80 100 T 4 11 12 50