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Variable costs (VC) are the costs of the variable input, labor, or wL, where w is the wage rate and L is the amount of labor employed. Thus, VC = wL. Marginal cost (MC) is the change in total cost per unit change in output or ∆C/∆Q. In the short run, production can be varied only by changing the variable input.
The Phillips curve equation can be derived from the (short-run) Lucas aggregate supply function. The Lucas approach is very different from that of the traditional view. Instead of starting with empirical data, he started with a classical economic model following very simple economic principles. Start with the aggregate supply function:
If the substitution effect is stronger than the income effect then the labour supply slopes upward. If, beyond a certain wage rate, the income effect is stronger than the substitution effect, then the labour supply curve bends backward. Individual labor supply curves can be aggregated to derive the total labour supply of an economy. [1]
The SAS (Surprise aggregate supply) curve is in the long run a vertical line called the EAS (Equilibrium aggregate Supply) curve. The short run SAS curve is given by the equation: π = π e + λ ( Y − Y ∗ ) {\displaystyle \pi =\pi ^{e}+\lambda (Y-Y*)}
The total cost curve, if non-linear, can represent increasing and diminishing marginal returns.. The short-run total cost (SRTC) and long-run total cost (LRTC) curves are increasing in the quantity of output produced because producing more output requires more labor usage in both the short and long runs, and because in the long run producing more output involves using more of the physical ...
The labour supply curve shows how changes in real wage rates might affect the number of hours worked by employees.. In economics, a backward-bending supply curve of labour, or backward-bending labour supply curve, is a graphical device showing a situation in which as real (inflation-corrected) wages increase beyond a certain level, people will substitute time previously devoted for paid work ...
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This formula is important to relate back to diminishing rates of return. It finds the change in total product divided by change in labour. The marginal product formula suggests that MP should increase in the short run with increased labour. In the long run, this increase in workers will either have no effect or a negative effect on the output.