A production line has three machines A, B, and C, with reliabilities of .90, .95, and .98, respectively. Themachines are arranged so that if one breaks down, the others must shut down. Engineers are weighing twoalternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be usedwith reliabilities equal to the original three.a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answerto 4 decimal places.)Reliabilityb. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answerto 4 decimal places.)Reliabilityc. Which plan will provide the higher reliability?Plan 1O Plan 2

To calculate the overall system reliability for each plan, we need to consider the scenarios where…

Answered: A production line has three machines A,…

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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Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,500, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,900. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…
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