Recent content by ptlnguyen

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    Maximize Return: Find A to Maximize Contract Award

    Homework Statement Given: f(x) = 1/2 - 1/4|A - x| where f(x) is total contract award, x = deliver date if 5 < x < 7 then get a reward $500 Homework Equations Find A such that it maximizes the contract award The Attempt at a Solution My approach: take derivative of f(x) and...
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    Optimizing Total Cost: Finding MTBF for Maximum Savings in 5 Years

    Homework Statement A system is to be operated 5000 hours per year, where Total Cost (for 5 years) = Acquisition cost + Spares cost + Downtime cost System acquisition cost is related to MTBF, θ, as follows: CA(θ) = 685.2917e0.003779θ The average cost of a spare item is $1,000 and the...
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    Probability of Overhauling a Machine Unnecessarily

    Homework Statement A machine will be repaired if it produces 5% defected items and won't need repair if the defected items are less than 1%. 50 samples items are tested. If defected items are greater than 0.02, the machine will be repaired, other wise the machine will continue operating...
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    Calculate the mean for a normal distribution

    Homework Statement Given: Standard Deviation = 500 Homework Equations How I calculate the μ (mean) using standard deviation for a norma distribution. Thanks. The Attempt at a Solution
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    What Is the Optimal Delivery Date d to Maximize the Expected Contract Award?

    Homework Statement Given: f(x) = 1/2 - 1/4 |d-x| where x is the deliver date If the actually delivery date from target date falls within the interval of 6 < x <8, an incentive award of C results. However if x < 6, a penalty of C1 is imposed, while if x > 8, the penalty is C2. Find the...
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