Consider an open economy with a current population of $0\mathrm{.}55$ million people, and where the potential GDP is $$3\mathrm{.}24$ billion. Consumer expenditure is represented by the following equation: C $=60+0\mathrm{.}75$DI$.$ Exports are constant at $$500$ million, and investors want to spend $$400$ million at every level of income. The government purchases are $$300$ million, imports are constant at $$450$ million, and taxes are $$200$ million. now, consider that investors become optimistic about the country's future, and raise their investment to $$565$ million in the fellowing period. At the same time, given the birth rate, mortality rate, and net immigration, the economy experienced an increase of $20\%$ in its population. What is the value of the simple multiplier $?$