Management is trying to decide whether Part A, which is produced with a consistent 3 percent defective rate, should be inspected. If it is not inspected, the 3 percent defectives will go through a product assembly phase and have to be replaced later. If all Part A’s are inspected, one-third of the defectives will be found, thus raising the quality to 2 percent defectives.a. Should the inspection be done if the cost of inspecting is $0.01 per unit and the cost of replacing a defective in the final assembly is $4.00?b. Suppose the cost of inspecting is $0.05 per unit rather than $0.01. Would this change your answer in (a)?

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Management is trying to decide whether Part A, which is produced with a consistent 3 percent defective rate, should be inspected. If it is not inspected, the 3 percent defectives will go through a product assembly phase and have to be replaced later. If all Part A’s are inspected, one-third of the defectives will be found, thus raising the quality to 2 percent defectives.
a. Should the inspection be done if the cost of inspecting is $0.01 per unit and the cost of replacing a defective in the final assembly is $4.00?
b. Suppose the cost of inspecting is $0.05 per unit rather than $0.01. Would this change your answer in (a)?

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