Question $3$ A$)$ The UAC Manufacturing Company manufactures small air conditioner compressors. The estimated demand for the year is $12,000$ units. The setup cost for the production process is $$200$ per run, and the carrying cost is $$10\mathrm{.}00$ per unit per year. The daily production rate is $100$ units per day, and demand has been $50$ units per day. Unit cost is $$250,$ each. $($The problem assumes $240$ operating days.$)$

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A$)$ Determine the number of units to produce in each batch.

B$)$ Total Cost $($including units$)=$