A production line has three machines A, B, and C, with reliabilities of .90, .95, and .92, respectively. The machines are arranged so thatif one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A,B, and C) would be used with reliabilities equal to the original three.a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.)Reliabilityb. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.)Reliability

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Answered: A production line has three machines A,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery. Customers can place orders either in the store, online, or via tolephone using a catalog. Of the orders, one-half are made online with one-quarter each made in stores or via telephone Of the online orders, 40% are only for clothing, 40% are only for camping supplies, and 20% are for both. For orders placed in the stlore, all are for dlothing (lo order a size that is not in stock). Among orders placed via telephone, 60% are only for clothing, 20% are only for camping supplies, and 20% are for both. Answer parts (a) and (b). icor icore (a) Organize these probabilities as a probability table. icore Purchase Method In Store Telephone Total On-Line icore Clothing Purchase Camping Both Score Total (Simplity your answers. Type integers or decimals) icore (b) What's the probability that the custormer orders dothing, oither by itsolf or in combination with camping supplies? f or The probability…
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 $2,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,600. Manufacturing costs are $14 for each 4-cylinder connecting rod and $19 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 5,000 6-cylinder connecting rods and 7,000 4-cylinder connecting rods. Let 56 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise (a) Using the decision variables x4 and s, write a constraint that limits next…
Oxford University in England is one of the oldest and most prestigious universities in the world. In 1902, a trust was set up to provide academic awards to American college graduates so they could attend Oxford. The Rhodes Scholarship was named after the primary benefactor of the award, Cecil Rhodes, a British philanthropist who wished to bring students from throughout the world to study at Oxford. Along with an endowment from Rhodes's will, the scholarship continues to be funded by generous benefactors including Canadian businessman John MacBain, who donated almost $120 million dollars to expand the program. The first class of American Rhodes Scholars entered Oxford in 1904. Applying for the Rhodes Scholarship is a rigorous process. Students who wish to apply must first be endorsed by their university. In 2014, 1600 students asked for endorsement but only 877 received it. The strongest applicants are then invited to appear for an interview. Rhodes Scholars are selected based on…
Consider a remote town in which two restaurants, All-You-Can-Eat Café and GoodGrub Diner, operate in a duopoly. Both restaurants disregard health and safety regulations, but they continue to have customers because they are the only restaurants within 80 miles of town. Both restaurants know that if they clean up, they will attract more customers, but this also means that they will have to pay workers to do the leaning. If neither restaurant cleans, each will earn $14,000; alternatively, if they both hire workers to clean, each will earn only $11,000. However, if one cleans and the other doesn't, more customers will choose the cleaner restaurant; the cleaner restaurant will make $18,000, and the other restaurant will make only $6,000. Complete the following payoff matrix using the information just given. (Note: All-You-Can-Eat Café and GoodGrub Diner are both profit-maximizing firms.) All-You-Can-Eat Café $ Cleans Up Doesn't Clean Up $ Cleans Up $ 81°F Sunny $ GoodGrub Diner $ $ If…
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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A real estate investment trust (REIT) owns first-class office properties in selected markets. According to its website, the occupancy rates last year for its holdings in four major cities are available below. Complete parts a through c below.
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