A manufacturing company produces widgets using a production line. The company's production line has a cycle time of 2 minutes per widget, and it operates for 8 hours per day. During a typical 8-hour shift, the production line experiences downtime for maintenance and breaks, totaling 30 minutes.

Calculate the following:

1. 1. How many widgets can the production line produce in a single 8-hour shift, taking into account the downtime?
2. 2. What is the manufacturing lead time for a single widget, including the downtime?
3. 3. If the company wants to produce 1,000 widgets, how many shifts (8-hour periods) will it take to meet this production target?
4. 4. If the company reduces the downtime to 15 minutes while keeping all other parameters constant, how does this affect the production rate in widgets per hour?