Q: Franz Beckenbauer and Johan Cruyff are purchasing managers for the headquarters of a large sports marketing company chain with a central inventory operation. Their fastest$-$moving inventory item has a daily demand of $35$ units. The cost of each unit is $200,$ and the inventory carrying cost is $25$ per unit per year. The average ordering cost is $60$ per order. It takes about $5$ days for an order to arrive, and there are $252$ working days per year.

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QA$.$ To minimize the cost, how many units should be ordered each time an order is placed? What is the total annual inventory cost, including the cost of the units?