$4$

Problem $15\mathrm{.}019$: Look up a cost index from a table and estimate cost using indexes

AB Jackson Industries installed a compressor and pump system in $2010$ at a cost of $$86,000.$ If the FRED equipment cost index applies, what will be the estimated cost now for a similar system when the index value is $283?$

$\backslash$table$[[,\backslash$table$[[$CE Plant Cost$],[$Index $($CEPCI$)],[(1913=100)]],\backslash$table$[[$Consumer Price$],[$Index $($CPI$)],[(1982-84=100)]],\backslash$table$[[$Crude OII Index$],[(2005=100)]]],[$Year$,575\mathrm{.}4,211\mathrm{.}4,105\mathrm{.}1],[2008,521\mathrm{.}9,217\mathrm{.}3,141\mathrm{.}9],[2009,550\mathrm{.}8,220\mathrm{.}5,160\mathrm{.}6],[2010,585\mathrm{.}7,227\mathrm{.}2,194\mathrm{.}4],[2011,584\mathrm{.}6,231\mathrm{.}3,192\mathrm{.}3],[2012,567\mathrm{.}3,234\mathrm{.}8,196\mathrm{.}8],[2013,579\mathrm{.}8,236\mathrm{.}5,140\mathrm{.}2],[2014,556\mathrm{.}8,238\mathrm{.}0,79\mathrm{.}3],[2015,,,]]$

The cost for a similar system when the index value is $283$ is determined to be $ $$