Nimble can produce $1,400$ pairs of sneakers per hour at maximum efficiency. There are three $8-$hour shifts each day. Due to unavoidable operating interruptions, productic hour. The plant actually operates only $25$ days per month. Based on the current month's budget, Nimble estimates that it will be able to sell only $408,000$ units due to the high personalization capabilities. But demand is unlikely to be affected in future and will average around $418,000$ units each month.

Assuming $30$ days per month, calculate Nimble's monthly $(1)$ theoretical capacity, $(2)$ practical capacity, $(3)$ normal capacity utilization, and $(4)$ master$-$budget capacity utili

$(1)$ Nimble's monthly theoretical capacity in units is

$1,008,000$

$(2)$ Nimble's monthly practical capacity in units is