A small metal shop operates $8$ hours each$$ day, producing $200$ parts$/$hour$.$ If productivity were increased by$30\%,$ how many hours would the plant have to work to produce$1,600$ parts?

Part $2$

A$.$

less than $5$ hours

B$.$

between $5$ and $6$ hours

C$.$

between $6$ and $7$ hours

D$.$

between $7$ and $8$ hours

E$.$

more than $8$ hours