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ΔCrude = production + imports − exports − refinery_inputs + ε refinery_inputs = util_seasonal × operable_capacity util_seasonal = OLS( util ~ week_of_year + util_lag1 ) # products ΔGasoline = 0.475 × refinery_inputs + imp − exp − demand ΔDistillate = 0.325 × refinery_inputs + imp − exp − demand