Question:
While inspecting final assembly of automobile-gear-boxes, 15 features were considered critical-to-quality (CTQ). During last quarter, 40000 gear boxes were produced among which 1500 defects were found of the CTQ features. The defects per million opportunities (DPMO) is .......... (Answer in integer)
While inspecting final assembly of automobile-gear-boxes, 15 features were considered critical-to-quality (CTQ). During last quarter, 40000 gear boxes were produced among which 1500 defects were found of the CTQ features. The defects per million opportunities (DPMO) is .......... (Answer in integer)
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DPMO is a key metric in quality control that helps evaluate the efficiency of a process. A lower DPMO value indicates a higher quality process.
Updated On: Mar 12, 2026
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Correct Answer: 2490
Solution and Explanation
Defects per million opportunities (DPMO) is a metric used to measure the quality of a process. It is calculated using the formula:
\[ {DPMO} = \frac{{Number of defects}}{{Number of opportunities} \times {Number of units}} \times 1,000,000 \] In this case: - The number of defects is \(1500\), - The number of units produced is \(40000\), - The number of opportunities per unit is \(15\) (since there are 15 features considered critical-to-quality). Substituting these values into the formula:
\[ {DPMO} = \frac{1500}{15 \times 40000} \times 1,000,000 \] \[ {DPMO} = \frac{1500}{600000} \times 1,000,000 \] \[ {DPMO} = 2,500 { (rounded)} \] Thus, the defects per million opportunities (DPMO) lies between 2490 and 2510.
\[ {DPMO} = \frac{{Number of defects}}{{Number of opportunities} \times {Number of units}} \times 1,000,000 \] In this case: - The number of defects is \(1500\), - The number of units produced is \(40000\), - The number of opportunities per unit is \(15\) (since there are 15 features considered critical-to-quality). Substituting these values into the formula:
\[ {DPMO} = \frac{1500}{15 \times 40000} \times 1,000,000 \] \[ {DPMO} = \frac{1500}{600000} \times 1,000,000 \] \[ {DPMO} = 2,500 { (rounded)} \] Thus, the defects per million opportunities (DPMO) lies between 2490 and 2510.
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