Maxim Technologies is considering a $$20$ million investment in a new plant to produce digital thermometers. Maxim expects the present value of the project's future cash flows to be $$10$ million in five years' time, if it is unsuccessful. However, if the project is successful, Maxim expects the present value of its future cash flows to be $$40$ million in five years' time. In that case, Maxim will be able to increase the present value of the project by $$25$ million, by investing an additional $$10$ million in the expansion of the plant. What is the value of the option to expand the plant, given that the risk$-$free interest rate is $5\%$ p$.$a$.?($Enter your answer as a number rounded to two decimal places, in units of a million dollars. So$,$ if the value of the option is $$23\mathrm{.}45$ million, you should enter $23\mathrm{.}45$ as your answer.$)$