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HW #5 - Calculus (E) - Goldstein Textbook - Chapter 2 Cour 17. A pharmacist wants to establish an optimal inventory policy for a new antibiotic that requires refrigeration in storage. The pharmacist expects to sell 4500 packages of this antibiotic at a steady rate during the next year. She plans to place several orders of the same size spaced equally throughout the year. The ordering cost for each delivery is $15, and carrying costs, based on the average number of packages in inventory, amount to $6 per year for one package. Use this information to answer the following questions. (a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost (ordering cost plus carrying cost) in terms of x and r. C = (b) Find the constraint function. (Type an equation.) (c) Determine the economic order quantity that minimizes the inventory cost and then find the minimum inventory cost. X = C = $ 12. A rectangular corral of 112 square meters is to be fenced off and then divided by a fence into two sections, as shown in the figure to the right. If the cost of fencing for the boundary is $5 per meter and the dividing fence costs $4 per meter, find the dimensions of the corral that minimize the cost of the fencing. The dimensions that minimize the cost of the fencing are x = and w= meters. (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)