Question: Who did Hay work for after being hired by his other notable influence regarding resource distribution other than Max Weber?

Knowledge 1: Friedrich Hayek
Building on the earlier work of Ludwig von Mises and others, Hayek also argued that while in centrally planned economies an individual or a select group of individuals must determine the distribution of resources, these planners will never have enough information to carry out this allocation reliably. This argument, first proposed by Max Weber, says that the efficient exchange and use of resources can be maintained only through the price mechanism in free markets (see economic calculation problem). [SEP] Knowledge 2: Karl Popper
While there is some dispute as to the matter of influence, Popper had a long-standing and close friendship with economist Friedrich Hayek, who was also brought to the London School of Economics from Vienna. Each found support and similarities in the other's work, citing each other often, though not without qualification. In a letter to Hayek in 1944, Popper stated, "I think I have learnt more from you than from any other living thinker, except perhaps Alfred Tarski." Popper dedicated his Conjectures and Refutations to Hayek. For his part, Hayek dedicated a collection of papers, Studies in Philosophy, Politics, and Economics, to Popper, and in 1982 said, "...ever since his Logik der Forschung first came out in 1934, I have been a complete adherent to his general theory of methodology."
Knowledge 1: Friedrich Hayek
Building on the earlier work of Ludwig von Mises and others, Hayek also argued that while in centrally planned economies an individual or a select group of individuals must determine the distribution of resources, these planners will never have enough information to carry out this allocation reliably. This argument, first proposed by Max Weber, says that the efficient exchange and use of resources can be maintained only through the price mechanism in free markets (see economic calculation problem). [SEP] Knowledge 2: Friedrich Hayek
During Hayek's years at the University of Vienna, Carl Menger's work on the explanatory strategy of social science and Friedrich von Wieser's commanding presence in the classroom left a lasting influence on him. Upon the completion of his examinations, Hayek was hired by Ludwig von Mises on the recommendation of Wieser as a specialist for the Austrian government working on the legal and economic details of the Treaty of Saint Germain. Between 1923 and 1924 Hayek worked as a research assistant to Prof. Jeremiah Jenks of New York University, compiling macroeconomic data on the American economy and the operations of the US Federal Reserve.
Knowledge 1: Friedrich Hayek
Building on the earlier work of Ludwig von Mises and others, Hayek also argued that while in centrally planned economies an individual or a select group of individuals must determine the distribution of resources, these planners will never have enough information to carry out this allocation reliably. This argument, first proposed by Max Weber, says that the efficient exchange and use of resources can be maintained only through the price mechanism in free markets (see economic calculation problem). [SEP] Knowledge 2: Friedrich Hayek
Hayek's influence on the development of economics is widely acknowledged. Hayek is the second-most frequently cited economist (after Kenneth Arrow) in the Nobel lectures of the prize winners in economics, which is particularly striking since his own lecture was critical of the field of orthodox economics and neo-classical modelisation. A number of Nobel Laureates in economics, such as Vernon Smith and Herbert A. Simon, recognise Hayek as the greatest modern economist. Another Nobel winner, Paul Samuelson, believed that Hayek was worthy of his award but nevertheless claimed that "there were good historical reasons for fading memories of Hayek within the mainstream last half of the twentieth century economist fraternity. In 1931, Hayek's Prices and Production had enjoyed an ultra-short Byronic success. In retrospect hindsight tells us that its mumbo-jumbo about the period of production grossly misdiagnosed the macroeconomics of the 1927–1931 (and the 1931–2007) historical scene". Despite this comment, Samuelson spent the last 50 years of his life obsessed with the problems of capital theory identified by Hayek and Böhm-Bawerk, and Samuelson flatly judged Hayek to have been right and his own teacher, Joseph Schumpeter, to have been wrong on the central economic question of the 20th century, the feasibility of socialist economic planning in a production goods dominated economy.

Answer: the Austrian government