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The problem involves calculating the optimal order quantity to minimize total costs, given different price breaks based on the order quantity, monthly demand, and associated costs. Let's go through the information provided and break it down:

1. **Monthly Demand**: 45 units per month, which translates to an annual demand \( D = 45 \times 12 = 540 \) units per year.
2. **Ordering Cost**: \( C_o = \text{Rp. No Mhs .000} \) (it seems the ordering cost per order is missing a specific number).
3. **Holding Cost**: 25% of the item’s unit cost.
4. **Price per Unit Based on Order Quantity**:
   - For \( 0 \leq Q \leq 199 \): Rp. 1,500 per unit
   - For \( 200 \leq Q \leq 399 \): Rp. 1,000 per unit
   - For \( Q \geq 400 \): Rp. 750 per unit

The goal is to determine the order quantity \( Q \) that minimizes total cost.

The Total Annual Cost (TAC) formula typically includes:
\[
\text{TAC} = \left( \frac{D}{Q} \times C_o \right) + \left( \frac{Q}{2} \times H \right) + (D \times \text{Unit Cost})
\]
where:
- \( H \) (holding cost per unit per year) = 25% of the unit cost.

### Steps to Solve

1. **Calculate Holding Cost \( H \) for Each Price Break**:
   - For Rp. 1,500/unit: \( H = 0.25 \times 1,500 = \text{Rp. 375} \)
   - For Rp. 1,000/unit: \( H = 0.25 \times 1,000 = \text{Rp. 250} \)
   - For Rp. 750/unit: \( H = 0.25 \times 750 = \text{Rp. 187.5} \)

2. **Evaluate the Total Annual Cost (TAC) for Different Order Quantities in Each Range**:
   Use the TAC formula with each price tier, substituting different values of \( Q \) within the range to find the order quantity that minimizes cost.

However, since the specific ordering cost per order \( C_o \) is not provided, we would need that detail to continue with exact calculations. 

Would you like to proceed with hypothetical values for \( C_o \) to demonstrate the process? Let me know if you'd like a detailed breakdown of the TAC for each range or have other questions! 

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### Further Questions for Exploration

1. What if the ordering cost \( C_o \) is known? How does it impact the optimal \( Q \)?
2. How does a change in holding percentage (e.g., 20% instead of 25%) affect total costs?
3. What would be the impact on the optimal order quantity if monthly demand increased?
4. How can we incorporate lead time into this calculation for reorder point determination?
5. What would be the impact of price fluctuations in unit cost on this model?

#### Tip
In inventory management, understanding EOQ (Economic Order Quantity) is crucial, as it directly helps in minimizing total costs associated with ordering and holding.

Perusahaan memerlukan bahan baku perbulan 45 unit barang. Biaya pesan sebesar Rp. (No Mhs) .000. Biaya perawatan barang 25% dari nilai bahan. Dalam 1 tahun, berapa jumlah pesanan yang dapat meminimumkan biaya jika pembelian tertentu memperoleh diskon?

Learn how to calculate the optimal order quantity to minimize total inventory cost using Economic Order Quantity (EOQ) and quantity discounts. The problem involves determining the ideal order quantity for a company with a monthly demand of 45 units, variable order costs, and holding costs set at 25% of unit value. Detailed solutions included for each quantity discount tier.

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