1. **Stating the problem:** Pak Amir wants to sell one flavor of drink in size L on Tuesday. We need to find which flavor gives the greatest profit. 2. **Given data:** - Modal (cost) for making chocolate drink per day: 100000 - Modal for toppings per day: - Popping Boba: 50000 - Bubble Rainbow: 40000 - Coffee Jelly: 40000 - Original (no topping): 0 (since no topping) - Prices for size L: - Popping Boba: 12000 - Bubble Rainbow: 11000 - Coffee Jelly: 10000 - Original: 10000 3. **Formula for profit:** $$\text{Profit} = \text{Revenue} - \text{Cost}$$ Revenue is price per cup times number of cups sold. Cost is modal for chocolate drink plus modal for topping. 4. **Assumption:** Pak Amir sells $n$ cups of the chosen flavor size L. Since $n$ is unknown but the same for all flavors, we calculate profit per cup minus cost per cup. 5. **Calculate profit per cup:** - Modal per cup for chocolate drink: $$\frac{100000}{n}$$ - Modal per cup for topping: $$\frac{\text{topping modal}}{n}$$ Profit per cup for each flavor: $$\text{Profit per cup} = \text{Price} - \left(\frac{100000 + \text{topping modal}}{n}\right)$$ Since $n$ is unknown, we consider total profit: $$\text{Total profit} = n \times \text{Price} - (100000 + \text{topping modal})$$ 6. **Calculate total profit for each flavor:** - Popping Boba: $$\text{Profit} = 12000n - (100000 + 50000) = 12000n - 150000$$ - Bubble Rainbow: $$\text{Profit} = 11000n - (100000 + 40000) = 11000n - 140000$$ - Coffee Jelly: $$\text{Profit} = 10000n - (100000 + 40000) = 10000n - 140000$$ - Original: $$\text{Profit} = 10000n - 100000$$ 7. **Compare profits:** For large $n$, the flavor with the highest price per cup will yield the highest profit. 8. **Conclusion:** Popping Boba has the highest price (12000) but also highest topping cost (50000). Let's check the break-even points: Find $n$ where Popping Boba profit surpasses others: Compare Popping Boba and Bubble Rainbow: $$12000n - 150000 > 11000n - 140000$$ $$12000n - 11000n > 150000 - 140000$$ $$1000n > 10000$$ $$n > 10$$ Similarly, compare Popping Boba and Coffee Jelly: $$12000n - 150000 > 10000n - 140000$$ $$2000n > 10000$$ $$n > 5$$ Compare Popping Boba and Original: $$12000n - 150000 > 10000n - 100000$$ $$2000n > 50000$$ $$n > 25$$ For $n > 25$, Popping Boba yields the highest profit. Since Pak Amir likely sells more than 25 cups, **Popping Boba** is the best choice. **Final answer: (D) Popping boba**