3. (25 Total) Nuclear fuel cycle enrichment cost evaluation. One third of the core of PWR is removed and replaced with fresh fuel approximately once a year. For a PWR with 500MWe of power level, approximately 165,000 kg of 3.2w/o enriched UO2 is needed. Given the following Separation Work Unit formula, please answer the following questions. SWU=MP[V(xP)V(xT)]MF[V(xF)V(xT)]xP:production.xT:tailassayxF:feedV(x)=(12x)ln(x1x) where x is the enrichment a. If the feed of uranium ore is with enrichment of 0.68w/o, and the tails assay is 0.18w/o, how much feed is required per load? ( 6 points) b. The following data is from the 2021 uranium marketing report (https://www.eia.gov/uranium/marketing/pdf/2021\%20UMAR.pdf) by U.S. EIA. If you are reloading the 1/3 core in 2021 , what is the enrichment cost? ( 6 points) W= Data withheld to avoid disclosure of individual company data. c. Plot the SWU-kg with tails assay enrichment range from 0.01w/o to 0.30w/o. Assuming the following conditions are fixed ( 7 points): - The feed of uranium ore is with enrichment of 0.68w/o - Approximately 165,000kg of 3.2 w/o enriched UO2 is needed d. Given the plot from c, what is the minimum tails assay enrichment you can have assuming you have a budget limit of 10 million USD in 2018? (6 points)