As VP tor operations at Mendez-Pinero Enginerting, you must decide which product

Question

As VP tor operations at Mendez-Pinero Enginerting, you must decide which product design, A or B, has the higher reiability B is designed with backup units for components Ry and R Product Design A 0.992 Product Designe . 097 094 0985 098 091 R2 R4 R, enter your response as a percentage ro n edto two deonalplaces) enter your response as a percentage rour dedto hodec R3 The overal re ablity of the system provided n Design A % overall rehabil y of the system provided in Design B % nalplaces Enter your answer in each of the answer boxes

Explanation / Answer

In product design A, all components have only form with their specified reliability

Overall Reliability of System in design A = Reliability of component R1 * Reliability of component R2 * Reliability of component R3 * Reliability of component R4 = 0.97 * 0.94 * 0.997 * 0.992 = 0.9018 = 90.18%

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In product design B, components R3 and R4 have one backup each

Reliability of component R3 = 1 - Probability of both forms of R3 failing = 1 - (1 - 0.985)(1 - 0.91) = 0.99865

Reliability of component R4 = 1 - Probability of both forms of R4 failing = 1 - (1 - 0.98)(1 - 0.98) = 0.9996

Overall Reliability of system in design B = Reliability of component R1 * Reliability of component R2 * Reliability of component R3 * Reliability of component R4 = 0.97 * 0.94 * 0.99865 * 0.9996 = 0.9102 = 91.02%

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