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Advanced Microeconomics
Ivan Etzo
University of Cagliari
ietzo@unica.it
Dottorato in Scienze Economiche e Aziendali, XXXIV ciclo
Ivan Etzo (UNICA) Lecture 2: Profit Maximization 1 / 35
Overview
1 The model of profit maximization
2 Short-run Profit-Maximization
3 Long-run Profit-Maximization
4 Profit maximization and Returns to Scale
5 The Weak Axiom of Profit Maximization (WAPM)
Ivan Etzo (UNICA) Lecture 2: Profit Maximization 2 / 35
The model of profit maximization
Aim: to describe how the firm chooses the amount of output to
produce and the production plan to employ.
Weneed to make some assumptions regarding:
1 The firm’s objective
2 The output market
3 The inputs market
Ivan Etzo (UNICA) Lecture 2: Profit Maximization 3 / 35
Economic profit
Afirm uses inputs x = 1,2,··· ,m to make products i = 1,2,··· ,n.
Output levels are y1,··· yn.
Input levels are x1,··· xm.
Product prices are p ,··· p .
1 n
Input prices are w ,··· w .
1 m
Wewill study the profit-maximization problem of a firm that faces
competitive markets for both factors of production and output.
The competitive firm takes all output prices p ,··· p and all input
1 n
prices w ,··· w as given constants.
1 m
Ivan Etzo (UNICA) Lecture 2: Profit Maximization 4 / 35
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