Answer Happy

The Fault Tree Analysis below investigates the events that may lead to an overheated wire (the TOP event) for a product DIF.Co is designing. The cost for the product design and production have been estimated as follows . The wholesale price of each wheel is $42.00 • The company has a contract to sell 145 000 units per year. • The company spent $800 000 to design this particular wheel. • They invested $1 million in setting up for production. . The production cost is $34.00 per unit The following values, have been calculated for each event in the FTA. Event 5 = 0.28 Event 6 = 0.02 Event 1 = 0.17 Event 2- 0.03 Event 3 = 0.08 Event 4 = 0.02 Event 7 = 0.12 Event 8 = 0.04 Overheated Motor Fuse unable to open Power applied 10 stem for extended time shorte A Primary motor tailare 3 Primary fuse failure Overed fue installed Power not removed from relay oll Relay contacts tailed to close 1 2 Primary relay CORE 8 8 Timer une Switch faits to open A A Timer Timer coil failed to open contacts faded closed Switch contacto failed closed Extend control fails to eleme switch 4 5 6 6 7 To improve the system, the you as an engineer have found 2 options

Option A: Include a safety mechanism so that the "Timer unable to open" will only happen when the Event 4 (timer coil fails) AND Event 5 (timer contacted failed to close) occur. This adaptation will cost $130 000 to change the design and production line. Option B: include a safety mechanism so that the "Power applied to system for extended time" will only happen when the "Power not removed from Relay" AND "Relay contacts failed to close" occurs (these two events which must both happen are marked by red borders in the diagram). This adaptation will cost $250 000 to change the production line for assembling it for the new design. Given this information, answer the following questions: 1. How many units must be sold to breakeven for the current design? 2. By how much does the chance Top Event occurring improve if Option A is implemented? Final answer to 4 decimal places.. 3.By how much does the chance Top Event occurring improve if the changes in Option B are made? Final answer to 4 decimal places. 4. For Option A, how much additional time will be needed to breakeven given the increased costs if all other cost and revenue values remain the same? Answer in years to 2 decimal places 5. For Option B, how many more units will need to be sold to breakeven given the increased costs if all other cost and revenue values remain the same? 6. Which option would you recommend and why? Your calculations should clearly show all the working out needed to arrive at your final answers.