The following table shows the aggregate plan for a local manufacturing company. The capacity is $120$ units per month. Overtime is used when needed. Some information are missing from the table.

Month

$1$

$2$

$3$

$4$

Total

Forecast

$110$

$125$

$130$

$110$

$475$

Regular Production

Overtime Production

Developing a chase plan that matches the capacity, what overtime production is needed in month $2?$

Group of answer choices

$5$

$0$

$10$

$15$