Compute the number of days in the cash conversion cycle for each year.

Note: Use $365$ days in a year. Round calculations to the nearest whole day.$)$A manufacturer reports the data below.

Current Year Prior Year

Accounts payable $ $6,943$ $ $10,888$

Accounts receivable $24,62517,328$

Inventory $9,2448,575$

Net sales $184,000137,000$

Cost of goods sold $94,000120,000$

$(1)$ Compute the number of days in the cash conversion cycle for each year.

$(2)$ Did the company manage cash more effectively in the current year?