PA 7-10 Aquatica makes underwater camera housings... Aquatica makes underwater c

Question

PA 7-10 Aquatica makes underwater camera housings... Aquatica makes underwater camera housings for divers. The process begins with a solid rectangular block of aluminum which 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 16 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 126 minutes per housing per worker and Aquatica has 5 workers trained to do this task. The CNC machine requires a 27 minute setup time before the production of a batch can begin. Housing type D7000 5DS Mark III AN-5n D300 T2i Demand rate (housings per hour 0.4 0.5 0.6 0.7 0.8 (Round your answer to 1 decimal place.) If the CNC machine produces 16 housing between setups, what would be its capacity (in housings per hour)? 3.4 housings per hour Assuming the process is supply constrained, what is the utilization (as a percentage) of the CNC machine if it operates in batches of 16 housings? (Round your answer to 2 decimal places.) Assuming the process is supply constrained and operates with batches of 16 housings, what is the average inventory of housings? number of housings Aquatica actually makes 5 different housings. As already mentioned, the CNO machine must be setup whenever production switches from one housing to the other In each case the setup time is 27 minutes and it takes 16 minutes to drill the block for each type of housing. Demands for the housings are given in the table above. If they wish to minimize inventory while satisfying their demand, how many D7000 housings should they produce in each batch? d. number of housings

Explanation / Answer

a) Total time = Setup time + Activity time = 27+16*16 = 283 minutes = 4.717 hours

Capacity per hour = 16 /4.717 = 3.4 housings per hour

b) Time taken for assembly of 16 units = 16*126/5 = 403.2 minutes

Assembly time is more than than CNC drilling time for 16 units. So, assembly is a bottleneck.

Therefore, Cycle time for a batch of 16 units = 403.2 minutes

Utilization of CNC machine = CNC machine time / Cycle time = 283/403.2 = 70.2 %

c) Average inventory = (16/2)*(1-(5/126)/(1/16)) = 3 number of housings

d) Total demand rate = 0.4+0.5+0.6+0.7+0.8 = 3 per hour

Assembly capacity = 5*(1/126)*60 = 2.38 per hour

Demand rate is more than the assembly capacity, therefore, demand rate cannot be satisfied with the existing assembly capacity.

Let x be the total number of housings they should produce in a batch. So, total drilling time must equal total assembly time

27+16*x = (126/5)*x

or, x = 2.935

So, batch of housings = 2.935

number of D7000 housings to produce in a batch = (0.4/3)*2.935 = 0.39

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