Ayman, a space explorer, embarks on a mission to explore distant planets. He invests $$67,000$ in advanced space equipment, which will have a salvage value of $$4000$ after $8$ years. The explorer$$s daily costs for maintaining the equipment and conducting experiments amount to $$83$ and he charges his clients $$280$ per day for their ground$-$breaking discoveries and data collection services. Calculate how many days per year the space explorer must work to breakeven at an annual