A production line has three machines A, B, and C, with reliabilities of 90, 95, and 94, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 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.) Answer is complete but not entirely correct. Reliability 0.9850 € b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.)
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.A production line has three machines A, B, and C, with reliabilities of .90, 95, and .98, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 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.) b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.) c. Which plan will provide the higher reliability?50-Step Assembly Line Consider an assembly line with 50 steps that are carried out sequentially. Each of the 50 steps has a defect probability of 1%. The final product produced on the assembly line is defective if any one of the 50 steps made a defect. At the end of the assembly line there are two operators independently inspecting the product. Each of them is recognizing a defective product with a 90% probability. Assuming that the product is not defective, it is moved to the shipping department. Otherwise, the product is scrapped. What is the probability that a defective product is produced (independent of the defect being found or not)?
- 50-Step Assembly Line Consider an assembly line with 50 steps that are carried out sequentially. Each of the 50 steps has a defect probability of 1%. The final product produced on the assembly line is defective if any one of the 50 steps made a defect. At the end of the assembly line there are two operators independently inspecting the product. Each of them is recognizing a defective product with a 90% probability. Assuming that the product is not defective, it is moved to the shipping department. Otherwise, the product is scrapped. A) What is the probability that a defective product is produced (independent of the defect being found or not)? B)What is the probability that a defective product is moved to the shipping department?20-Station Assembly Line Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an inspection step singles out the defective units. The inspection step catches 80% of all defects. From inspection, units that are deemed to be non-defective are moved to the shipping department. If a defect is found at inspection, it is sent to the rework department. Rework fixes about 95% of the defective units. Units are directly shipped from the rework department with no further inspection taking place. What is the probability that a unit ends up in rework (in decimal form)?A 3 year-old a computer-controlled fabric cutting machine, which had a $25,000 purchasing price, has a current market (trade-in) value of $10,000 and expected O&M costs of $4,000, increasing by 1,000 per year. The machine is required to have an immediate repair that costs $2,000. The estimated market values are expected to decline by 20% annually (going forward). The machine can be used for another 7 years at most. The new machine has a $40,000 purchasing price. The new machine's O&M cost is estimated to be $4,000 for the first year, decreasing at an annual rate of $100 thereafter. The firm's MARR is 10%. Assume a unique minimum AEC(10%) for both machines (both the current and replacement machine). Using the information above, determine the economic service life along with the optimum annual equivalent cost of the defender (This is an infinite Horizon decision problem). a) n=4 and AEC=Between $8,400 and $8,800 b) n=4 and AEC=Between $8,000 and $8,400 c) n=5 and AEC=Between $8,400 and…
- An injection molding system has a first cost of $90,000, and an annual operating cost of $42,000 in year 1, increasing by $5000 per year thereafter. The salvage value of the system is 30,000 if you sell after 1 year of use. The salvage value decreases by $5,000 each year thereafter. The maximum useful life of the machine is 4 years. Using a MARR of 20% per year, determine the ESL and the corresponding Equivalent Annual Cost of the system.Knott's Berry Farm is contemplating buying a new van for its operations. The farm's engineering staff has researched the market and found 2 units that appear to meet their requirements. Truck # 1 has a cost of $37,000 and requires an annual maintenance cost of $2,700. At the end of its useful life (3 years), it is projected to have a salvage value of $5,000. On the other hand, Truck #2 has an initial cost of $40,000 and requires only $2,000 in annual operating costs because the manufacturer is claiming that some routine maintenance is covered in the price of the truck. Truck # 2 has an estimated salvage value of $8,000 at the end of its 4 year service life. The CEO has determined that the farm's MARR is 12%. The trucks are needed for 12 years according to the 2024 Strategic Plan. The Engineering Department has determined that no significant changes are needed in the future that would change prices and functional characteristics of each truck. As a member of the Engineering Department,…A company installs new central-heating furnaces and has found that for 15% of all installations, a return visit is needed to make some modifications. Six installations were made in a particular week. Assume independence of outcomes for these installations.a. What is the probability that a return visit will be needed in all these cases?b. What is the probability that a return visit will be needed in none of these cases?c. What is the probability that a return visit will be needed in more than 1 of these cases?
- A loan processing operation at a local bank processes an average of 7 loans per day. The operation has a design capacity of 10 loans per day and an effective capacity of 8 loans per day. What is the utilization of the processing operation? Select one: a. 100.0% b. 87.5% c. 70.0% d. 80.0% Warranty expense, the cost that a business incurs for the repair or replacement of goods that has sold, is an example of which of the following? Select one: a. Internal failure cost b. Appraisal cost c. Prevention cost d. External failure costA workshop has 20 nos. of identical machines. The failure pattern of the machine is given below:- Elapsed time after Maintenance attention (in month) 1 2 Probability of failure 3 4 5 6 0.20 0.15 0.15 0.15 0.15 0.20 It costs 150 to attend a failed machine and rectify the same. Compute the yearly cost of servicing the broken down machines.You have two design options for your new line of high-resolution monitors for Computer-Aided Design (CAD)workstations. The production run is for 110,000 units. Design option A has a .90 probability of yielding 65good monitors per 100 and a .10 probability of yielding 70good monitors per 100. This design will cost $1,000,000. Design option B has a .80 probability of yielding 65good units per 100 and a .20 probability of yielding 60good units per 100. This design will cost $1,350,000. Good or bad, each monitor will cost $75. Each good monitor will sell for $150. Bad monitors are destroyed and have no salvage value. We ignore any disposal costs in this problem. Demonstrate how decision trees can be used in order to choose the design option based on the above situation. Calculate the expected monetary value (EMV) of each option and determine which option you will propose.