V IEE 3100 OPTIMIZING DESIGN USING MONTE CARLO SIMULATION This assignment involves finding the least cost combination of components to use in an electrical circuit to achieve a desired output voltage specification. The circuit for this assignment is shown below. R2 ww R1 99 R9 M R3 w R4 R5 ми The component values are: V = 175 V DC R1 = 150 OHMS, R2 = 100, R3 = 125 R4 = 100 R5 50 R6 50 R7 = 100 R8 = 75 R9 = 80 = The output voltage, Vout, which is the voltage drop across R7, has a quality specification that states it needs to be within +- 0.75 volts 95% of the time. Each component in the circuit, including the voltage source and all resistors have variability. Each component can be purchased with different levels of precision ranging from 1 to 20% tolerance with a different cost associated with a different level of tolerance. The cost structure is given by: R6 R7 27 R8 - мили Tolerance % Cost 1$12,000 2 3500 7 3 2000 4 1000 5 500 68129 300 11 200 150 125 10 100 37684 12345 80 70 60 50 19 45 20 67808 16 40 17 18 43322 35 30 27 25 For the voltage source the cost is determined by the tolerance percentage of the voltage source according to the following function: Cost of voltage source = $10/Tolerance^2. As an example assume a tolerance of 5%. The cost of this voltage source would then be 10/.05^2 = $4000. You have been asked to find the lowest cost combination of components that will meet the quality specification. You have been asked to do this for two variability assumptions. 1. Assume all components are normally distributed with a mean equal to the value given, and a std dev dependent on the precision level specified. 2. Assume all components are uniformly distributed with a mean equal to the value given and a range dependent on the precision level specified. Present your results in a report. The report must include an executive summary. The report must be well written with all tables and graphs discussed in supporting narrative. Your report should discuss the differences you observe between the normal and uniform assumptions.