One of the formulas for inventory management says that the average weekly cost of$$ ordering, paying$$ for, and holding merchandise is given by the function$$ below, where q is the quantity you order when things run low$($shoes$,$ radios,$$ brooms, or whatever the item might$$ be$),$ k is the cost of placing an order$($the same, no matter how often you$$ order$),$ c is the cost of one item$($a constant$),$ m is the number of items sold each week$($a constant$),$ and h is the weekly holding cost per item$($a constant that takes into account things such as$$ space, utilities,$$ insurance, and$$ security$).$ Complete parts a and b below.

$$A$($q$)$

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