Lok Company reports net sales of $$5,856,480$ for Year $2$ and $$8,679,690$ for Year $3.$ End$-$of$-$year balances for total assets are Year $1,$ $$1,686,000$; Year $2,$ $$1,800,000$; and Year $3,$ $$1,982,000.$

$(1)$ Compute Lok's total asset turnover for Year $2$ and Year $3.$

$(2)$ Lok's competitor has a Total Asset Turnover of $3\mathrm{.}0$ during Year $3.$ Is Lok performing better or worse than its competitor on the basis of total asset turnover?