Problem 4 (20 points) Hit Flip Inc. is a skateboard manufacturer that supplies skateboard decks to specialty skateboard stores. With skateboarding being the fastest growing sport among children 10-18 years, the company is experiencing demand that greatly exceeds capacity for these specialty boards. The process steps are given below: Specifically, the boards, or "decks", are purchased from an outside suppw. deck and paints these using a lithography machine. The company has 5 patterns that are painted on the decks. The lithography machine requires a setup (to change from one pattern to another), so decks are processed in batches according to the pattern. After painting, the decks are loaded onto a pallet (a device to hold a batch of decks) and dried using an ultraviolet lamp. The pallet is not placed under the lamp until all decks in a batch have been painted. The lamp can dry up to 50 decks at one time. The activity times per deck are as follows: Sanding: 3 minutes per deck Painting: 20 minutes setup, and 2 minutes per deck Drying: 30 minutes for the batch regardless of the batch size Show all your work in answering the parts below. 1. Assume that batch size of 50 is used. What is the capacity of the bottleneck (decks pe hour)? (8 points)