A business is trying to decide whether to switch firms. It currently has a demand of $30$ units per day, with a standard deviation of $6.$ The current supplier has an average order cycle time of $5$ days, with a standard deviation of $2.$ The new supplier would have and order cycle time of $6$ and a standard deviation of $3.$ Given $99\%$ level of certainty, a cost of goods sold of $$20,$ and inventory carrying cost rate of $0\mathrm{.}32,$ which supplier should the firm use? $($all numerical answers must be whole numbers, without commas or any other symbols$)$

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