This paper provides dynamic minimum-variance hedges for firms in incomplete markets. Our hedges accounts for price transmission between the input and output prices, and thereby enable firms to minimize both input and output price fluctuations through tradable securities. Specifically, the model conditions on the direction and magnitude of price transaction between raw materials and products, as well as on the availability of futures contracts. A two-factor diffusion model is assumed for the underlying asset. The optimal hedges are the weighted average of the classic direct hedging and cross hedging ratios. We apply our results to the problem of a hypothetical jet fuel producer. Empirical results demonstrate the hedging effectiveness of this model.