Consumer and Firm Optimization: Key Concepts
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Consumer Optimization
The budget constraint (BC) is defined as: P1X1 + P2X2 = M, where the slope is -P1/P2 = dX2/dX1. The consumer optimizes consumption decisions by reaching the highest satisfaction level given their resources. Any point on the BC other than the equilibrium is non-optimal, as it won't be on the highest indifference curve.
The Marginal Rate of Substitution (MRS) is -MU1/MU2, representing the slope of the indifference curve.
Firm Optimization
Profit Maximization
Profit = Py - w
Profit maximization occurs when marginal revenue (MR) equals marginal cost (MC).
- When MC = MR, the firm achieves maximum efficiency.
- When MC < MR, the firm is inefficient and should increase production.
- When MC > MR, the firm is inefficient and should reduce