A project with an up$-$front cost at t $=0$ of $$1500$ is being considered by a cloud computing firm $$ Upath Corporation. $($All dollars in this problem are in thousands.$)$ The project's subsequent cash flows are critically dependent on costumers$$ demand. There is a $70\%$ chance that the demand will be high, in which case Upath's expected cash flows will be $$500$ at the end of each of the next seven years $($t $=1$ to $7).$ There is a $30\%$ that the demand will be low, in which case the expected cash flows will be only $$25$ at the end of each of the next seven years $($t $=1$ to $7).$ Upath will know for sure one year from today about the customers$$ demand.