Consider an industry with $4$ firms. All $4$ firms and their yearly sales are listed in the table below:

Firms and Yearly Sales

Firm              Yearly Sales

$\mathrm{ \; \; \; \; \; \; \; \; \; \; \; \; (}$in Millions$)$

Jet Inc              $$234$

Kitco               $$182$

Lime Light     $$112$

Mind Corp      $$30$

What is the Herfindahl$-$Hirschman Index $($HHI$)$ for this industry?