ii) A contractor owns three excavators of different capacity. He/she wants to dispatch these excavatorsinto three different jobs. The performance of the excavators is measured as the time consumed toperform each job. The data of the time tests are shown as given in the table below.Job time (hour)Job 1 Job 2 Job 3Excavator1549.41083103(a) Draw a network flow diagram.(b) Formulate a mathematical model to obtain the minimum time.(c) Solve this model using the Vogel's approximation model.

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Answered: A contractor owns three excavators of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Does moderate alcohol consumption impact the performance of heavy machinery opera- tors in the workplace? A large stevedoring company studied the time on task (in seconds) to complete a complex manoeuvre by crane operators on the dock, firstly in a completely sober condition, and then five days later, after consuming a moderate amount of alcohol (as measured by a blood alcohol test). The data are given below: Operator Time taken while sober Time taken after consuming alcohol 2 3 4 5 6 9 10 186 375 310 240 220 420 410 205 250 900 262 565 800 630 285 365 405 735 425 900 (a) Does moderate alcohol consumption increase the time it takes to complete a complex crane manoevure on the docks? Use an appropriate non-parametric test at a = 0.05 to support your conclusion. (b) Give a normal approximation to the above test (ignore that n is less than 25). Comment on the outcomes of the two different tests at the 1% level of significance.
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