6) In a manufacturing operation, a part is produced by machining, polishing, painting, and coating. If...

6) In a manufacturing operation, a part is produced by machining, polishing, painting, and coating. If there are three machine tools, four polishing tools, three painting tools, and two coating tools, how many different routings (consisting of machining, followed by polishing, followed by painting, and followed by coating) for a part are possible?

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Expert Solution

From the given information, there are three machine tools, four polishing tools, three painting tools, and two coating tools.

The number of ways of selecting the routing of machine tools (n₁) is .
The number of ways of selecting the routing of polishing tools (n₂) is .
The number of ways of selecting the routing of painting tools (n₃) is .
The number of ways of selecting the routing of coating tools (n₄) is .

Note: The number of ways selecting the routing consists of machine tools is obtained by substituting corresponding values to , in a similar way substitute the corresponding values of polishing tools, painting tools and coating tools.

Therefore,

Number of Different Routings (N) = (n₁)*(n₂)*(n₃)*(n₄) = 3*4*3*2 = 72

Number of Different Routings (N) = 72

orchestra answered 1 year ago

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