1. The Best Quantity to Order One of the formulas for inventory management says that the average weekly cost of ordering, paying for, and holding merchandise is: A(q) = km/q + c + m + hq/2 where q is the quantity you order when things run low (shoes, TVs, brooms, or whatever the item might be); k is the cost of placing an order (constant, no matter how often you order); e 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). a) Identify the dependent and independent variables. b) Evaluate A(a), where a is any real value within the domain of A. c) Obtain the domain of the function A. d) Differentiate the function given for A in terms of q. Write a sentence or two explaining the meaning of the result obtained in d).