Economic Order Quantity
1. **State the problem:** We need to find the Economic Order Quantity (EOQ) for glass units, given the annual demand, ordering cost, and holding cost per unit.
2. **Given data:**
- Annual demand, $D = 2700$ units
- Ordering cost, $S = 85$
- Holding cost per unit per year, $H = 4.95$
3. **Formula for EOQ:**
$$EOQ = \sqrt{\frac{2DS}{H}}$$
This formula balances ordering costs and holding costs to minimize total inventory cost.
4. **Calculate EOQ:**
$$EOQ = \sqrt{\frac{2 \times 2700 \times 85}{4.95}} = \sqrt{\frac{459000}{4.95}} = \sqrt{92727.27} \approx 304.53$$
5. **Interpretation:**
The EOQ is approximately 305 units (rounded to the nearest whole number).
6. **Note:** The problem asks for EOQ in units, not cases, so no further conversion is needed.
**Final answer:**
$$\boxed{305}$$ units