1. **Problem statement:** Pak Amir wants to sell one flavor of drink in size L to maximize profit. We know the selling prices and daily costs for making drinks and toppings. 2. **Given data:** - Modal air cokelat per day = 100000 - Modal topping per day: popping boba = 50000, bubble rainbow = 40000, coffee jelly = 40000, original = 0 (no topping) - Prices for size L: popping boba = 12000, bubble rainbow = 11000, coffee jelly = 10000, original = 10000 3. **Formula for profit:** $$\text{Profit} = \text{Revenue} - \text{Cost}$$ 4. **Calculate profit for each flavor assuming selling $n$ cups:** - Revenue = price per cup $\times n$ - Cost = modal air cokelat + modal topping 5. **Profit functions:** - Popping boba: $$P(n) = 12000n - (100000 + 50000) = 12000n - 150000$$ - Bubble rainbow: $$P(n) = 11000n - (100000 + 40000) = 11000n - 140000$$ - Coffee jelly: $$P(n) = 10000n - (100000 + 40000) = 10000n - 140000$$ - Original: $$P(n) = 10000n - 100000$$ 6. **To find which flavor yields the greatest profit, consider the profit per cup minus fixed cost. Since fixed costs differ, we find the break-even point and profit slope. The flavor with the highest profit per cup minus cost is best.** 7. **Compare profit slopes (price per cup):** - Popping boba: 12000 - Bubble rainbow: 11000 - Coffee jelly: 10000 - Original: 10000 8. **Compare fixed costs:** - Popping boba: 150000 - Bubble rainbow: 140000 - Coffee jelly: 140000 - Original: 100000 9. **Calculate profit at a reasonable sales number, say $n=20$ cups:** - Popping boba: $12000 \times 20 - 150000 = 240000 - 150000 = 90000$ - Bubble rainbow: $11000 \times 20 - 140000 = 220000 - 140000 = 80000$ - Coffee jelly: $10000 \times 20 - 140000 = 200000 - 140000 = 60000$ - Original: $10000 \times 20 - 100000 = 200000 - 100000 = 100000$ 10. **At 20 cups, Original yields the highest profit. Check at $n=15$:** - Popping boba: $12000 \times 15 - 150000 = 180000 - 150000 = 30000$ - Bubble rainbow: $11000 \times 15 - 140000 = 165000 - 140000 = 25000$ - Coffee jelly: $10000 \times 15 - 140000 = 150000 - 140000 = 10000$ - Original: $10000 \times 15 - 100000 = 150000 - 100000 = 50000$ 11. **Original still leads. Since Original has the lowest fixed cost and decent price, it yields the greatest profit for reasonable sales.** **Final answer:** (C) Original