The following is information for Palmer Company.

Year $3$ Year $2$ Year $1$

Cost of goods sold $ $623,825$ $ $406,650$ $ $371,300$

Ending inventory $98,40088,75093,500$

Use the above information to compute inventory turnover for Year $3$ and Year $2,$ and its days' sales in inventory at December $31,$ Year $3$ and Year $2.$ From Year $2$ to Year $3,$ did Palmer improve its

$($a$)$ inventory turnover and

$($b$)$ days' sales in inventory?Use the above information to compute inventory turnover for Year $2,$ and its days' sales in inventory at December $31,$ Year $2.$

Use the above information to compute inventory turnover for Year $3,$ and its days' sales in inventory at December $31,$ Year $3.$

Did Palmer improve its $($a$)$ inventory turnover from Year $2$ to Year $3$ and $($b$)$ days' sales in inventory from Year $2$ to Year $3?$

$($a$)$ Did Palmer improve its inventory turnover from Year $2$ to Year $3?$

$($b$)$ Did Palmer improve its days' sales in inventory from Year $2$ to Year $3?$