The Dulac Box plant produces $550$ cypress packing boxes in two $10-$hour shifts. Due to higher demand, they have decided to operate three $8-$hour shifts instead. They are now able to produce $700$ boxes per day. What has happened to productivity?

It has increased by $16\mathrm{.}67\%.$

It has decreased by $59\mathrm{.}09\%.$

It has increased by $1\mathrm{.}67\%.$

It has decreased by $27\mathrm{.}27\%.$

It has increased by $6\mathrm{.}06\%.$