$8.($Complexico mine $)$ Consider the Complexico mine and assume a $10\%$ constant interest

rate; also assume the price of gold is constant at $$400/$oz$.$

$($b$)$ For the $10-$year lease considered in the text, how much gold remains in the mine at the end

of the lease; and how much is the mine worth at that time?

$($c$)$ If the mine were not leased, but instead operated optimally by an owner, what would the

mine be worth after $10$ years?