Bep Es Teler 8A01A0
1. **Problem Statement:**
We are given data on the number of es teler sold (in glasses), total cost, and total revenue. We need to find the Break-Even Point (BEP) in units and rupiah, and plot the cost and revenue functions.
2. **Understanding BEP:**
The Break-Even Point is where total revenue equals total cost. Mathematically, this is where:
$$\text{Total Revenue} = \text{Total Cost}$$
3. **Given Data Analysis:**
- Total Cost starts at 8,000,000 and increases by 1,000,000 every 100 glasses.
- Total Revenue starts at 0 and increases by 2,000,000 every 100 glasses.
4. **Formulating Cost and Revenue Functions:**
Let $x$ be the number of glasses sold.
- Total Cost function:
$$C(x) = 8,000,000 + 10,000x$$
Explanation: The fixed cost is 8,000,000 (cost at 0 units), and the variable cost per glass is $\frac{1,000,000}{100} = 10,000$.
- Total Revenue function:
$$R(x) = 20,000x$$
Explanation: Revenue increases by 2,000,000 every 100 glasses, so revenue per glass is $\frac{2,000,000}{100} = 20,000$.
5. **Finding BEP in units:**
Set $C(x) = R(x)$:
$$8,000,000 + 10,000x = 20,000x$$
Subtract $10,000x$ from both sides:
$$8,000,000 = 10,000x$$
Divide both sides by 10,000:
$$x = \frac{8,000,000}{10,000} = 800$$
So, the BEP is at 800 glasses.
6. **Finding BEP in rupiah:**
Calculate revenue or cost at $x=800$:
$$R(800) = 20,000 \times 800 = 16,000,000$$
So, the BEP in rupiah is 16,000,000.
7. **Summary:**
- BEP in units: 800 glasses
- BEP in rupiah: 16,000,000
8. **Graph:**
The graph plots $C(x) = 8,000,000 + 10,000x$ and $R(x) = 20,000x$ for $x$ from 0 to 1200.