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Supply function and Production Possibility Frontier (PPF) are basic concepts in Economics. We present a model that can give mathematic formula for PPF and the supply as a function of the price vector and capability parameters. With this Supply function, the generic Supply-Demand equilibrium problems can be solved numerically. We apply the supply-demand equilibrium to give optimal solutions for team work management problems or labor assignment problems. Concrete examples are given for managing an engineer te

Keywords:  Resource Allocation, Labor Assignment, Teamwork Management, Supply Function, Production Possibility Frontier, Supply-Demand equilibrium

Cite this paper:  Gang Liu , A Mathematic Model for Supply-Demand Equilibrium and the Optimal Solution for Labor Assignment,  American Journal of Economics , Vol. 4 No. 2, 2014, pp. 83-98. doi: 10.5923/j.economics.20140402.01.