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Distinguish between total utility and marginal utility.

Vidyadip · Accepted Answer

Total Utility (TU): It is the sum total of utility derived from the consumption of all the units of a commodity.
To illustrate, if 2 units of a commodity are consumed and 1st unit yields satisfaction of 10 utils, while the 2nd unit yields satisfaction of 9 utils, then total utility =10 utils +9 utils =19 utils (or 19 units of utility)
$T U_n=M U_1+M U_2+\ldots+M U_n$
Ог
$TU =\Sigma MU$
Marginal Utility (MU): It refers to additional utility on account of consumption of an additional unit of a commodity.
To illustrate, if 10 units of a commodity yield satisfaction of 100 utils, and 11 units of a commodity yield satisfaction of 105 utils, then additional utility on account of the consumption of 11th unit of the commodity is 105-100=5 utils. This is called marginal utility.
$M U=T U_n-T U_{n-1}$ [n: number of units]
Ог
$MU _{ x }=\frac{\Delta TU _{ x }}{\Delta Q _{ X }}$
Referring to the above example
$MU = TU _{11}-T U _{10}$ [Total utility from 11 units - Total utility from 10 units]
= 105 utils- 100 utils
= 5 utils

Economics	$3$	$5$	$8$	$4$	$7$	$10$	$2$	$1$	$6$	$9$
Statistics	$6$	$4$	$9$	$8$	$1$	$2$	$3$	$10$	$5$	$7$

Variable (X)	10	11	12	13	14	15	16
Frequency (f)	8	15	25	20	12	10	5

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