Subjects business math

Bep Es Teler 8A01A0

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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.