Apollo Learnings needs $$32$ million to build a new campus. The company has a target debt$-$equity ratio of $0\mathrm{.}8.$

The flotation cost for new equity is $10\%$ and the flotation cost for new debt is $5\%.$

Part $1$

What are the weighted average flotation costs as a fraction of the amount invested?

Part $2$

What is the true cost of building the new campus $($in $ million$)?$