Best techniques leave little room for substitution. A new critique of the production function

Samuelson assumed a linear wage curve for each of continuum techniques such that their envelope was monotonically falling the economy, from which an aggregate production function fulfilling marginal productivity conditions could be derived. But capital intensities chosen at rate profit are not necessarily lower higher rates profit, if curves linear, possibility exemplified by reswitching. This critique controversy does rule out Samuelson’s construction as approximation, since paradoxes have been shown to rare. Instead, is likely has so far noticed: will in relevant range dominated small number efficient approximately equal intensity, leaving little room substitution. A new mathematical theorem demonstrates expected appear on given (2/3) lns. Numerical experiments and empirical investigations confirm analysis.