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You have bought a platform that makes $1000$ BOPD. There is a projection that predicts no decline for $2\mathrm{.}5$ years. Your net revenue is $$55\mathrm{.}00$ per barrel of oil. The total fixed cost for transportation personnel etc. is $$300,000\mathrm{.}00$ per month. The starting variable expense is $$150,000\mathrm{.}00$ per month and will increase $10\%$ per month.

$($a$)$ Will this project be profitable for $2\mathrm{.}5$ years?

$($b$)$ If not, when does it become unprofitable?