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Part $1$

Winged can produce $600$ pairs of sneakers per hour at maximum efficiency. There are three $8-$hour shifts each day. Due to unavoidable operating$$ interruptions, production averages $100$ units per hour. The plant actually operates only $23$ days per month. Based on the current$$ month's budget, Winged estimates that it will be able to sell only $42$ comma $000$ units due to the entry of a competitor with high personalization capabilities. But demand is unlikely to be affected in future and will average around $52$ comma $000$ units each month.

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

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Part $1$

$(1)$

Winged's monthly theoretical capacity in units is