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We propose a method to consistently estimate production functions in the presence of input price dispersion when intermediate input quantities are not observed. The traditional approach to dealing with unobserved input quantities-using deflated expenditure as a proxy-requires strong assumptions for consistency. Instead, we control for heterogeneous input prices by exploiting the first order conditions of the firm's profit maximization problem. Our approach applies to a wide class of productiondoi:10.1111/iere.12172 fatcat:7bmsl67vx5bwroovqwy5e7bprq