Compute and plot annual and cumulative uranium requirements through the year $2030$ for the projected nuclear electric capacities given in Table $4\mathrm{.}8$ for each of the following assumptions: $($a$)$ all reactors are PWRs with no recycling; $($b$)$ all reactors are PWRs$,$ and all operate with recycling after $2020$; $($c$)$ all reactors are PWRs until $2020$ after which $20\%$ of new reactors are LMFBRs$.[$Note: For simplicity, ignore the extra fuel required for startup; that is$,$ take the annual uranium needs to be the values in Table $4\mathrm{.}7$ divided by $30.]$ Textbook: Introduction to Nuclear Engineering by John Lamarsh and Anthony Baratta.TABLE $4\mathrm{.}7$

LIFETIME NATURAL URANIUM REQUIREMENTS FOR DIFFERENT TYPES OF NUCLEAR POWER PLANTS AND FUEL CYCLE OPTIONS$*$

$\backslash$table$[[$Plant $($Reactor$)$ Types and Cycle,Natural Uranium Requirements $($t$)],[$LWR$,],[$Once$-$through,$4,260],[$U$-$Pu recycling,$2,665],[$HWR$,3,655],[$Natural uranium, once$-$through,$1,820],[$Natural uranium, Pu recycling,$2,505],[$Low$-$enriched uranium,$36],[$LMFBR$,],[$U$-$Pu recycling,$]]$

$*$Data from International Nuclear Fuel Cycle Evaluation, Summary Volume, International Atomic Energy Agency, $1980.$TABLE $4\mathrm{.}8$

PROJECTIONS OF NUCLEAR ELECTRIC GENERATING CAPACITY $($GWE$)$

$\backslash$table$[[,$United States$\_,,$World$\_,],[$Year$,$Low,High,Low,High$],[2012,100,,372,],[2015,104,105,374,407],[2020,105,111,394,462],[2025,105,122,417,563],[2030,103,122,433,650]]$

TABLE $4\mathrm{.}7$

LIFETIME NATURAL URANIUM REQUIREMENTS FOR DIFFERENT TYPES OF NUCLEAR POWER PLANTS AND FUEL CYCLE OPTIONS$*$

$\backslash$table$[[$Plant $($Reactor$)$ Types and Cycle,Natural Uranium Requirements $($t$)],[$LWR$,],[$Once$-$through,$4,260],[$U$-$Pu recycling,$2,665],[$HWR$,],[$Natural uranium, once$-$through,$3,655],[$Natural uranium, Pu recycling,$1,820],[$Low$-$enriched uranium,$2,505],[$LMFBR$,],[$U$-$Pu recycling,$36]]$

$*$Data from International Nuclear Fuel Cycle Evaluation, Summary Volume, International Atomic Energy Agency, $1980.$