A sportswear retailer reported net sales of $$312,000$ in year $1.$ Its cost of sales was $$192,000$ for the same year. For years $2$ and $3,$ the retailer plans to increase net sales by $16$ percent in year $2$ and $21$ percent in year $3.$ It also plans to negotiate a better contract with the sportswear manufacturer so that the cost of sportswear that is purchased and sold would increase by a maximum of $14$ percent in year $2$ and by $18$ percent in year $3.($Do not round intermediate calculations. Round percentage answer to $1$ decimal place, i$.$e$.,0\mathrm{.}124$ should be entered as $12\mathrm{.}4.)$

Required:

$1.$ Compute the gross profit for year $1.$

$2.$ Compute the percentage changes in gross profit for years $2$ and $3.$