1. The demand for a product is 1500 units per day. The external setup for a punch press is approximately 1.8 hours. The internal setup time is 20 minutes. The facility operates on a single 8-hr shift. The punch press feeds the downstream operation grinder by placing its lot production into containers of size 50. We will make the grinder be responsible to inform the punch process for the start of a new production batch as well as the signal for the material order. Here is additional information about this process: - Kanban waiting time at the receiving post at grinder is 12 minutes - Kanban transfer time to punch press ordering post is 16 min - Kanban wait time at the ordering post 7 minutes - Processing time at the punch press 0.1 minutes per unit - In process batch waiting time 12 minutes - Lot transfer time to nal buffer is 0 - We want to build 10 % safety to our card calculations. - Material kanban waiting time at the grinder receiving post is 6 minutes - Material kanban transfer time to raw material storage is 12 minutes - Material kanban waiting time at the raw material post is 16 minutes - Time to withdraw material for punch press lot size is 13 minutes - Time to convey the raw material to punch press is 11 minutes - The system operates 8-hour shift a day. a) Find the minimum production lot size at the punch press. b) Find the kanban cycle time at the punch press. c) Where should the production ordering signal kanban be placed at the grinding station. d) Where the material ordering kanban be placed at the grinding station. (25 pts)