Packaging That Pays for Itself: A Break-Even Rule for Cushioning a Market Load

Sellers are routinely advised to pack fragile produce better, as if cushioning were always worth its cost. It is not. This paper derives the break-even arithmetic for five packaging options applied to a 20 kg load of ripe tomatoes worth $30.00, using damage rates for five transport situations. Packaging is modelled as reducing the damage rate $k$ by an effectiveness fraction $e$, at a stated cost per load. The saving at distance $d$ is the value of the load multiplied by the damage prevented. The paper originates a break-even rule in two forms: an exact distance found from the full damage function, and a short-distance approximation, dbe ≈ Cost / (V · e · k), that a seller can evaluate mentally. On a bicycle journey over gravel, newspaper wrap breaks even at 2.07 km, banana-leaf cushioning at 2.22 km, straw or shredded paper bedding at 2.61 km, foam net sleeves at 6.51 km, and moulded pulp trays at 6.97 km. By cart over gravel, every option breaks even within 2.99 km. By pickup on paved road, foam nets do not break even until 14.65 km and pulp trays not until 15.69 km. Expensive packaging on a short, gentle trip is a loss; cheap packaging on a rough, damaging trip pays for itself within the first few kilometres. The deciding quantity is not the price of the packaging alone, but the product V · e · k.