Marginal Rate of Time Preference (MRTP)
The point at which MRTP equals the slope of the budget line indicates optimal intertemporal consumption allocation.
Types of Consumers
Patient Consumer: Willing to give up little future consumption for additional current consumption.
Impatient Consumer: Willing to sacrifice a significant amount of future consumption for current consumption.
Questions may include comparing consumer types based on their willingness to trade off present and future consumption.
Future and Present Value
Understanding how to compute future value and present value is essential for constructing budget constraints.
Note: No calculations required for MRTP = 1 + r.
Introduction to Firm Theory
Transition from consumer theory to firm theory focuses on production decisions and cost management.
Key concepts: production function, short-run and long-run production, total, marginal, and average products.
Production: Any process that generates utility (value) for present or future consumption.
Production Function: Defined as quantity produced as a function of capital and labor (Q = f(K, L)).
Focus primarily on capital and labor due to simplification.
Short-run Production:
Capital remains fixed.
Labor is the variable input; only labor quantity can be adjusted to change production levels.
Example: Q = 2L means each added worker increases production by 2 units.
Long-run Production:
Both capital and labor are variable; adjustments can be made to all inputs.
Marginal Product:
Change in quantity produced resulting from the addition of one unit of labor.
The slope of the total product curve indicates marginal product behavior: initially increases, then decreases, then may become negative due to fixed capital constraints.
Diminishing Returns: Initial increases in labor lead to increased productivity until space constraints reduce efficiency, culminating in diminishing marginal returns.
Malthusian Theory: Population growth is constrained by fixed resource limits (e.g., arable land).
Concerns about population outgrowing food supply due to land scarcity.
Long-term Sustainability: Technological advances can improve production efficiency, mitigating initial resource constraints.
Average Product: Total output divided by the quantity of labor employed (AP = TP/L).
Important relationship: If marginal product (MP) exceeds average product (AP), AP rises; if MP falls below AP, AP decreases.
Isoquant: Represents combinations of labor and capital input that yield the same output, similar to indifference curves for utility.
Example: Q = 16 yields various combinations of capital (K) and labor (L)maintaining output level.
Summary of Relationships:
Marginal product affects average product. The key takeaway is to understand how production and labor factors interact within both short and long runs, leveraging technology to overcome production challenges.