A large hospital has an annual demand for 70,000 booklets on healthy eating. It cost \( \$ .65 \) to store one booklet for a year, and it costs \( \$ 70 \) to place an order for a new batch of booklets. Find the optimum number of copies per order. The optimum number of copies per order is (Round to the nearest integer as needed.)

To find the optimum number of copies per order, we can use the Economic Order Quantity (EOQ) formula: \[ EOQ = \sqrt{\frac{2DS}{H}} \] Where: - \( D \) = annual demand (70,000 booklets) - \( S \) = ordering cost per order (\$70) - \( H \) = holding cost per unit per year (\$0.65) Plugging in the numbers: \[ EOQ = \sqrt{\frac{2 \times 70000 \times 70}{0.65}} \\ = \sqrt{\frac{9800000}{0.65}} \\ = \sqrt{15076923.08} \\ \approx 3876.67 \] Rounding to the nearest integer, the optimum number of copies per order is **3877** booklets. Looking to optimize operations in a busy hospital is crucial, not just for costs but also for ensuring patients receive the right information at the right time. The EOQ helps strike a balance between ordering costs and holding costs, ultimately leading to a more efficient supply chain. In practice, hospitals can face challenges with inventory management due to fluctuating patient numbers or unexpected demand spikes. Keeping track of seasonal trends in patient inquiries can provide insight into revising your EOQ calculations and managing inventory effectively.