Gasworks, Incorporated, has been approached to sell up to $4$ million gallons of gasoline in three months at a price of $$3\mathrm{.}25$ per gallon. Gasoline is currently selling on the wholesale market at $$3\mathrm{.}00$ per gallon and has a standard deviation of $56$ percent. If the risk$-$free rate is $7$ percent per year, what is the value of this option? Use the two$-$state model to value the real option. $($Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to $2$ decimal places, e$.$g$.,1,234,567\mathrm{.}89.)$

Answer is complete but not entirely correct.

Value of contract

$-3\mathrm{.}13x$