Whether exporters can take advantage of increases in foreign demand depends on the scalability
of their input suppliers—that is, suppliers’ ability to expand production when demand rises. Using bilateral trade
data linked to international input-output tables, I measure supplier scalability at the country-industry level and
examine how it shapes downstream export growth. I find that supplier scalability varies sharply across
industries within countries, that scalable suppliers tend to be connected to scalable suppliers themselves, and
that downstream country-sectors exposed to more scalable suppliers respond more strongly to positive foreign
demand shocks in sectors with relationship-sticky inputs. I rationalize these facts in a multicountry, multi-sector
general-equilibrium trade model with input-output linkages, heterogeneous upward-sloping supplier supply
curves, and gradually adjusting sourcing relationships. In the calibrated model, supplier bottlenecks
substantially attenuate the export and welfare gains from a global demand expansion, while relationship
stickiness determines where bottlenecks bind. Counterfactuals show that supplier upgrading and pre-arranged
access to flexible sourcing networks are most valuable when targeted toward economically central,
relationship-sticky, and bottleneck-exposed parts of the production network.