$*$Your borrowing rate is $11\mathrm{.}4\%$ per year. Your lending rate is $3\mathrm{.}1\%$ per year. A project costs $$3200$ and has a rate of return of $8\mathrm{.}4\%.$ What is the minimum amount of investment capital you need to make the project worthwhile $($assuming you will borrow any additional capital needed beyond your own investment capital$)?$ Give your answer to the nearest dollar.