A certain manufacturing company has the following data on quantities shipped and unit costs for its four products, respectively.

$\backslash$table$[[$Nroducts$,,\backslash$table$[[$Mean Shipping Cost$],[$per Unit $($$$)]]],[\backslash$table$[[$Year $1],[$Quantity$]],$Year $1,$Year $5],[$A$,10\mathrm{.}50,15\mathrm{.}90],[$B$,5,000,16\mathrm{.}25,31\mathrm{.}00],[$C$,6,000,12\mathrm{.}20,18\mathrm{.}40],[$D$,2,500,20\mathrm{.}00,35\mathrm{.}50]]$

Use the price data to compute a Paasche index for, the shipping cost if year $5$ quantities are $3,500,3,000,7,000,$ and $3,000$ for products A$,$ B$,$ C$,$ and $D,$ respectively. $($Round your answer to the nearest integer.$)$

$I_5=$

$$