\[\mathrm{APS}=\frac{S}{Y}\]
Where:
- S = total saving
- Y = total income
Define the following concept:
Total utility
Total utility refers to the total satisfaction derived by the consumer from the consumption of a specific quantity of a commodity.
Define marginal utility.
Marginal utility refers to the additional utility derived from the consumption of an additional unit of a commodity.
According to Prof. Leftwitch, "Total utility refers to the entire amount of satisfaction obtained from consuming various quantities of a commodity."
Total Utility:
\[TU_n=MU_1+MU_2+...+MU_n\]
When more than one unit is added:
\[MU=\frac{\Delta TU}{\Delta Q}\]
Marginal Utility:
\[MU_n=TU_n-TU_{n-1}\]
\[\mathrm{MPS}=\frac{\Delta S}{\Delta Y}\]
Where:
The law of equi‑marginal utility explains how a rational consumer allocates limited income among many goods to get maximum satisfaction.
It states that a consumer reaches maximum satisfaction when the marginal utility per unit of money is equal for all goods, i.e. MUA/PA=MUB/PB=⋯=MUn/Pn.
This is an extension of the law of diminishing marginal utility to many commodities and is also called Gossen’s Second Law or the law of maximum satisfaction.