Please prepare a 6-week master production schedule (MPS) for end item for lead pencil, and 6- week material requirements planning (MRP) for its five components, namely A, B, C, D, E. You will generate the necessary information input by yourselves for MPS and MRP based on the following instructions: Construct a bill-of-materials (i.e. product tree) for end item X, which should have five components (A, B, C, D, E) (you may construct the product tree in any way you wish). Please state how many each component is needed to produce one parent item in the bill-of-materials (i.e. product tree) you specified. Please show your bill-of material at the beginning of your report. Please state the lead times and lot-size (order) policies for end item X and lead times for its five components. Please state on-hand inventories at the beginning of the planning period for end item X and for its five components. Please generate weekly forecast values and customer orders (booked) for end item X. (You do not have to write a value for each week. You may assume they are zero in some weeks. But please write a non-zero value for at least in 3 weeks) Please assume that the scheduled receipts for end item X and for all its components shall be 0 in all weeks. You are expected to prepare your homework in accordance with the instructions above. Except from these instructions, you are flexible.