Smithson Mining operates a silver mine in Nevada. Acquisition, exploration, and development costs totaled $$7\mathrm{.}4$ million. After the silver

is extracted in approximately five years, Smithson is obligated to restore the land to its original condition, including constructing a

wildlife preserve. The company's controller has provided the following three cash flow possibilities for the restoration costs: $(1)$

$$680,000,15\%$ probability; $(2)$ $$730,000,45\%$ probability; and $(3)$ $$830,000,40\%$ probability. The company's credit$-$adjusted, risk$-$free

rate of interest is $6\%.$

What is the initial cost of the silver mine?

Note: Use appropriate factor$($s$)$ from the tables provided. Do not round intermediate calculations. Enter your answers in whole

dollars. $($FV of $$1,$ PV of $$1,$ FVA of $$1,$ PVA of $$1,$ FVAD of $$1$ and PVAD of $$1)$