For homework $4($due after Spring Break$)$ please draw a cash flow diagram of the following:

A machine is purchased with an initial cost of $$100,000.$ The machine will have an annual maintenance cost of $$4,000.$ The machine will generate $$16,000$ a year in revenue. At the end of its $10$ year life, the salvage value will be $$10,000.$ On the cashflow diagram, show which parts of this cashflow diagram are present, future, and annuity. In addition, determine if at a $4\%$ interest rate, the machine is profitable.