Short Answer

Logistics Efficiency Assessment

As a Logistics Assistant at a regional delivery center, you are verifying the efficiency score of an automated sorting system. The system's performance is modeled by combining a throughput index f(x)=x5f(x) = x - 5 and a reliability index g(x)=x22x+3g(x) = x^2 - 2x + 3. The software integrates these into a combined product polynomial (fg)(x)=x37x2+13x15(f \cdot g)(x) = x^3 - 7x^2 + 13x - 15.

To complete a routine quality check for a workload level of 2, recall and write down the exact mathematical expression that results from substituting 2 directly into the product polynomial (fg)(x)(f \cdot g)(x) before simplifying, and provide the final calculated efficiency score.

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Updated 2026-05-31

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