I need help with a and c

Aquatica makes underwater camera housings for divers. The process begins with a solid rectangular block of aluminum that is used to make a single housing. A Computer Numerically Controlled (CNC) machine drills into the block to make the metal "frame" of the housing. Each block requires 15 minutes of drilling. The frame is then chemically treated in a series of baths. There is ample capacity in the treating stage. Finally, a worker must manually attach the various buttons and components to the metal housing. This assembly takes 120 minutes per housing per worker and Aquatica has 6 workers trained to do this task. The CNC machine requires a 30-minute setup time before the production of a batch can begin. Housing Type Demand Rate (housings per hour) 0.4 0.5 D7000 5DS Mark III AN-5n D300 0.6 0.7 T2i 0.8 (Round your answer to 1 decimal place.) If the CNC machine produces 34 housings between setups, what would be its capacity (in housings per hour)? a. 3.5 housings per hour (Round your final answer to nearest whole number) Assuming the process is supply constrained, what is the utilization (as a percentage) of the CNC machine if it operates in batches of 34 housings? b. 75 % (Round your answer to 2 decimal places.) Assuming the process is supply constrained and operates with batches of 34 housings, what is the average inventory of housings? c. 1.75 % number of housings