A recently hired chief executive officer wants to reduce future production costs to improve the company$$s earnings, thereby increasing the value of the company$$s stock. The plan is to invest $$86,000$ now and $$54,000$ in each of the next $3\mathrm{.}00$ years to improve productivity. By how much must annual costs decrease in years $4\mathrm{.}00$ through $12\mathrm{.}00$ to recover the investment plus a return of $14\mathrm{.}00\%$ per year? $($Round the final answer to three decimal places.$)$

The annual cost decreases by $