1. **State the problem:** We have 550 items classified into three classes A, B, and C with percentages 15%, 30%, and 55% respectively. We need to find:
- Total number of C items
- Number of A items counted each day
- Number of B items counted each day
- Total items counted each day
2. **Formula and explanation:**
- Total items in each class = Total inventory \times Percent of that class
- Items counted each day for a class = Total items in that class \div Cycle count interval (days)
3. **Calculate total C items:**
$$\text{C items} = 550 \times 0.55 = 302.5$$
Rounded to nearest whole number:
$$\boxed{303}$$
4. **Calculate A items counted each day:**
Total A items:
$$550 \times 0.15 = 82.5$$
Items counted each day for A:
$$\frac{82.5}{15} = 5.5$$
Rounded to two decimal places:
$$\boxed{5.50}$$
5. **Calculate B items counted each day:**
Total B items:
$$550 \times 0.30 = 165$$
Items counted each day for B:
$$\frac{165}{60} = 2.75$$
Rounded to two decimal places:
$$\boxed{2.75}$$
6. **Calculate total items counted each day:**
Sum of daily counts for A, B, and C:
Total C items:
$$550 \times 0.55 = 302.5$$
Items counted each day for C:
$$\frac{302.5}{180} \approx 1.68$$
Total daily count:
$$5.50 + 2.75 + 1.68 = 9.93$$
Rounded to two decimal places:
$$\boxed{9.93}$$
Inventory Count
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