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Unit-3: Consumer Theory–Cardinal Utility Analysis



            1. Total Utility                                                                         Notes

            It is the aggregation of utilities obtained from the consumption of two different units of a commodity. In
            other words, total utility is the measurement of satisfaction derived from consuming quantity of some
            goods. It is the function of  the quantity of a commodity consumed and is expressed as


                                               TU  = f(Qx)
                                                  x

            [The total value of this is read as –X (TU ), X- commodity quantity (Q ) is a function of (f).]
                                            x                      x
            In the words of Leftwitch, “Total Utility refers to the entire amount of satisfaction obtained from
            consuming various quantities of a commodity.” Assume that you eat 8 Rasagullas at a sitting. The
            aggregation of the utilities obtained from the 8 Rasagullas will be called Total Utility.


            2. Marginal Utility

            The concept of Marginal utility was put forward by the eminent economist named Jevons. The other
            name for Marginal utility is additional utility. The marginal utility is the gain (or loss) from an increase
            (or  decrease)  in  the  consumption  of  that  goods  or  service.    Assuming  that  by  the  consumption  of
            the 1 chapatti you get 15 units of utility while consuming the 2nd one your total units goes upto 25.
            This means that the consumption of the 2nd chapatti added only 10 units to the total utility. Thus the
            marginal utility of the second chapatti is only 10 units.
            According to Lipsey, “Marginal utility is the addition made to the total utility by consuming one
            more unit of commodity.”
                                                                _____
                                      MU    = TU  – TU   Or MU =    ∆TU


                                         nth   n    n – 1        DQ
            (Here MU nth  = nth marginal utility of unit; TU  = n the total value of units; TU n–1  = n – 1 the total utility
                                                n
            of the unit ∆TU = total utility; ∆Q = change in the amount of object)
            Marginal Utility can be (1) positive (2) Zero and (3) Negative.
               (i)  Positive Marginal Utility: Positive marginal utility is the change in total utility by the
                   consumption of an additional unit of commodity.  Suppose to satisfy your hunger you eat
                   chappatis, from the first one you get 8 units and while from the second one you get 6 units.
                   Altogether you have got 8 + 6 = 14 units. Thus, by taking the additional units of chapattis, total
                   utility goes on increasing. The marginal utility which you derived from the second chapattis is
                   known as positive marginal utility.
               (ii)  Zero marginal utility: When the consumption of extra units of items has no change on the
                   total utility, it means that the marginal unity of the additional unit is Zero. At this level the
                   consumption utility will be maximum. So as far as the satisfaction of the consumer is concerned,
                   it will be his saturated point. Suppose 4 chapattis of bread yield total utility of 20 units and
                   the consumption of 5th chapatti does not make any change in the total utility and the utility
                   remains 20, that means the marginal utility of the 5th one is Zero.
               (iii)  Negative marginal utility: When the consumption of every extra unit decreases the utility
                   derived from it, then it is known as negative marginal utility. After receiving the saturation
                   point, after taking 5 chapattis, if the consumer is forced to take the number 6 chapatti, he may
                   suffer from indigestion. Therefore, the total utility of the 6 chapattis may come down to 18 units,
                   which signifies that the marginal utility is negative 2 i.e (18 – 20) = –2. Hence –2 is the negative
                   marginal utility.




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