Final answer:
To develop a lot-for-lot solution for component x, consider the gross requirements and current stock. Calculate the lot-for-lot solution by taking into account the lead time and scheduled receipts.
Step-by-step explanation:
A lot-for-lot solution is a production planning technique where the exact amount of a component is ordered that matches the immediate demand for that component. In this case, to develop a lot-for-lot solution for component x, we need to consider the gross requirements.
At the beginning of week 1, there are 30 units of component x in stock. Component x has a lead time of 2 weeks, which means it takes 2 weeks to receive the ordered components. There are scheduled receipts planned for week 3 and week 4 of 20 units each.
Based on this information, we can calculate the lot-for-lot solution for component x. Since there are 30 units of component x in stock at the beginning of week 1, we don't need to order any additional units for week 1.
However, we need to take into account the lead time of 2 weeks. So, for week 2, we will need to order 20 units (the gross requirement for week 3) because it takes 2 weeks to receive the ordered components. Similarly, for week 3, we will need to order 20 units (the gross requirement for week 4).
In summary, the lot-for-lot solution for component x is as follows:
Week 1: No order (30 units in stock)
Week 2: 20 units
Week 3: 20 units
Week 4: No order (20 units scheduled receipt)