A local office supply store has an annual demand for 30,000 cases of photocopier paper per year. It costs $\$ 3$ per year to store a case of photocopier paper, and it costs $\$ 70$ to place an order. Find the optimum number of cases of photocopier paper per order. A. 837 B. $1,400,000$ C. 1,183 D. 374

Step 1 ：The problem is asking for the optimal order quantity, which is a common problem in inventory management. The Economic Order Quantity (EOQ) model is typically used to determine the optimal order quantity that minimizes total inventory costs.

Step 2 ：The EOQ formula is: \[EOQ = \sqrt{\frac{2DS}{H}}\] where: D is the annual demand, S is the order cost, and H is the holding cost per unit per year.

Step 3 ：In this case, D = 30,000 cases, S = $70, and H = $3. We can substitute these values into the EOQ formula to find the optimal order quantity.

Step 4 ：Substituting the given values into the formula, we get: \[EOQ = \sqrt{\frac{2*30000*70}{3}}\]

Step 5 ：The result from the calculation is approximately 1183.22. This means that the optimal order quantity is about 1183 cases of photocopier paper. However, since we cannot order a fraction of a case, we should round this number to the nearest whole number.

Step 6 ：Final Answer: The optimum number of cases of photocopier paper per order is \(\boxed{1183}\).