Suppose that you are the owner of a hypothetical firm that sells water on the beach during weekends. You stock $$1,000$ of inventory each night before operating $($i$.$e$.,$ on Friday and Saturday nights$)$ and sell your entire inventory for $$2,000$ revenue during each day $($on Saturday and Sunday$).$ Assume that only $50\%$ of your inventory must be paid for in cash when stocked $($in periods $0$ and $1)$ with the remaining $50\%$ of your inventory not paid back until you sell the product $($i$.$e$.,$ you create an account payable equal to $50\%$ of inventory that is due at the end of each operating day$),$ and you hire labor to sell the water for $$50$ per day $($in periods $1$ and $2).$ Assuming a $20\%$ tax rate, what is your firm's free cash flow on Sunday $($period $2)?$