1. **Calculate the selling price per carton with a 25% markup on cost.** Let the cost price per carton be $C$. The selling price with 25% markup is: $$\text{Selling Price} = C + 0.25C = 1.25C$$ 2. **Calculate the breakeven price per carton to cover cost and operating expenses.** Let the operating expenses per carton be $E$. The breakeven price is the sum of cost and expenses: $$\text{Breakeven Price} = C + E$$ 3. **If you sell the unsold cartons with a 20% markdown on the original selling price, what is the new selling price per carton?** Original selling price is $1.25C$. A 20% markdown means the price is reduced by 20%: $$\text{New Selling Price} = 1.25C - 0.20 \times 1.25C = 1.25C \times (1 - 0.20) = 1.25C \times 0.80 = 1.00C$$ 4. **Calculate the profit or loss per carton on the unsold cartons sold at the markdown price.** Profit or loss per carton is: $$\text{Profit/Loss} = \text{New Selling Price} - C = 1.00C - C = 0$$ So, there is no profit or loss; the sale is at cost. 5. **What is the maximum markdown percentage you can offer without incurring a loss?** Let the maximum markdown percentage be $m$. The selling price after markdown is: $$1.25C \times (1 - m) = C$$ Solve for $m$: $$1.25(1 - m) = 1$$ $$1 - m = \frac{1}{1.25} = 0.8$$ $$m = 1 - 0.8 = 0.2 = 20\%$$ **Final answers:** - Selling price with 25% markup: $1.25C$ - Breakeven price: $C + E$ - New selling price after 20% markdown: $1.00C$ - Profit/Loss on markdown sale: $0$ - Maximum markdown without loss: $20\%$