$2\mathrm{.}4)$ Assume that a decision is made to start ordering reactors at such a constant rate per year from $1990$ until $2030$ at which time orders will stop, so that all known uranium reserves of $2\mathrm{.}3$ million tonnes $($with prices up to $$\frac{260}{k}gU)$ will be used up$.$ Assume:

a$)$ All plants are identical and need $150$ tons of natural uranium per year.

b$)$ It takes $10$ years to build a plant

c$)$ Every plant has a $30$ year lifetime.

d$)$ There are $120$ plant operating in $1990.$

e$)$ Reactors operating in $1990$ start retiring in $2000,$ at the rate of $\frac{10}{y}r.$ For these reactors, consider their needs only after $1990.$

Calculate how many reactors per year could be ordered and the maximum number of reactors operating at any single time.

$2\mathrm{.}5)$ How many $1000$ MW$($e$)$ LWR$\text{'}$s can the world reserves of uranium serve? Consider the