In an effort to reduce pipe breakage, water hammer, and product agitation, a French chemical company plans to install several

chemically resistant pulsation dampeners. The cost of the dampeners today is $107,000,$ but the chemical company has to wait until a

permit is approved for its bidirectional port$-$to$-$plant product pipeline. The permit approval process will take at least $2$ years because of

the time required for preparation of an environmental impact statement. Because of intense foreign competition, the manufacturer

plans to increase the price only by the inflation rate of $8\mathrm{.}00\%$ each year. Determine the cost of the dampeners in $5\mathrm{.}000$ years in terms

of $($a$)$ then$-$current euros and $($b$)$ constant$-$value euros?

The cost of dampeners in terms of then$-$current euros is $$

$.($Round the final answer to three decimal places.$)$

The cost of dampeners in terms of constant$-$value euros is $$