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August 7, 2024

Company Producing Widgets Using Two Machines

A company is producing widgets using two machines, Machine A and Machine B. Machine A produces widgets at a rate of 20 widgets per hour, with a defect rate of 10%. Machine B produces widgets at a rate of 25 widgets per hour, with a defect rate of 5%.

1. If the company uses only Machine A, what is the expected number of good widgets produced in 8 hours

2. If the company uses only Machine B, what is the expected number of good widgets produced in 6 hours?

3. If the company alternates between using Machine A for 2 hours and Machine B for 3 hours in a cycle, repeating this cycle, what is the expected number of good widgets produced in 24 hours?

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