6. The FCC Motors managers have prepared a master schedule for one of their products, namely Engine 4. The amount of Engine to be assembled for the following eight periods (weeks) and the parents- components relationship in the product tree of Engine 4 are given below: Period 2 3 4 5 6 8 Requirement 20 75 10 60 10 25 Parent Component B C D B(1) C(1) C(2) E(3) D(3) G(1) F(2) F(1) D(1) Note that the numbers in parenthesis show the quantities used per item. You are given the additional information below: Item A B C D E F G Lead Time (week) 2 1 2 1 3 1 On hand inventory at the beg of week 1 (units) 100 - - 100 - - Inventory holding cost ($/unit/week) 3 1 2 3 2 2 Setup (or ordering) cost ($/setup) 100 50 75 (a) Construct the product tree for Engine A. (b) Determine the low level numbers for all items in the product tree. (c) Determine the order releases for the Component G, using Part Period Balancing method. For each item considered in this part and the following parts (d) and (e), use MRP records similar to the following one Item: Week Lead Time: Lot-sizing policy: 0 I 2 6 8 Gross Requirements Scheduled Receipts Projected On Hand Net Requirements Planned Order Receipts Planned Order Releases (d) Assume that there will be a scheduled receipt of 50 units of Component C at the beginning of period 5. Determine the order releases for the Component C, using Silver-Meal method. (e) Suppose the production capacity for Component C is 180 units in any period. Is the net requirements schedule obtained for this component in part (d) feasible if the lot sizing policy is considered to be lot- for-lot? If not, (i) suggest a modification in the planned order releases computed in part (d) that would result in a feasible schedule, (ii) determine the cost of the schedule obtained in part (i), and (iii) compare the cost determined in part (ii) with that of your initial production schedule obtained in part (d).