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owards their best performing products; and also extend the range of products sold to that market. We develop a theoretical model of multiproduct firms and derive the specific demand and cost conditions needed to generate these product-mix reallocations. Our theoretical model highlights how the increased competition from demand shocks in export markets - and the induced product mix reallocations - induce productivity changes within the firm. We then empirically test for this connection between the demand shocks and the productivity of multi-product firms exporting to those destinations. We find that the effect of those demand shocks on productivity are substantial - and explain an important share of aggregate productivity fluctuations for French manufacturing.