Question

Difficulty: EasyLaw of Diminishing Marginal Utility

The table below presents the total utility derived by a consumer from drinking successive glasses of water on a hot day:

Quantity of Water (Glasses)Total Utility (Utils)
115
227
336
442
542

What is the marginal utility derived from consuming the 3rd glass of water?

  1. 99 utilsAnswer
  2. B
    1212 utils
  3. C
    2727 utils
  4. D
    3636 utils

Answer

The marginal utility derived from consuming the 3rd glass of water is 99 utils.
Marginal utility (MUMU) is the change in total utility (TUTU) resulting from a one-unit increase in consumption (MUn=TUnTUn1MU_n = TU_n - TU_{n-1}). For the 3rd glass of water, MU3=TU3TU2=3627=9MU_3 = TU_3 - TU_2 = 36 - 27 = 9 utils.

Step-by-Step Solution

1
Identify the formula for Marginal Utility (MUMU)
MU=ΔTU/ΔQ=TUnTUn1MU = \Delta TU / \Delta Q = TU_n - TU_{n-1}
Marginal utility measures the addition to total utility from consuming one more unit of a good.
2
Extract Total Utility values for the 2nd and 3rd units from the table
TU2=27TU_2 = 27 utils and TU3=36TU_3 = 36 utils
To find the marginal utility of the 3rd unit, subtract the total utility of 2 units from the total utility of 3 units.
3
Compute the difference in Total Utility
MU3=3627=9MU_3 = 36 - 27 = 9 utils
The extra satisfaction gained specifically from the 3rd glass of water is 99 utils.

Key Concept

Calculation of Marginal Utility from Total Utility Schedule
Estimated Time:45s
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