Question

Difficulty: MediumLaw of Diminishing Marginal Utility

A consumer's total utility (TUTU) schedule from consuming successive bottles of soft drink is presented in the table below:

Quantity of Soft Drink (Bottles)Total Utility (TUTU in utils)
140
275
3102
4120
5130

Based on the table above, what is the marginal utility (MUMU) derived from consuming the 4th bottle of soft drink?

Answer: 18 utils

Answer

The marginal utility derived from consuming the 4th bottle of soft drink is 18 utils.
Marginal Utility (MUMU) is defined as the additional utility derived from the consumption of one extra unit of a commodity. From the schedule, total utility increases from 102 utils to 120 utils when moving from 3 to 4 bottles. Thus, MU4=120102=18MU_4 = 120 - 102 = 18 utils.

Step-by-Step Solution

1
Find total utility values from the schedule for Q=4Q = 4 and Q=3Q = 3
TU4=120TU_4 = 120 utils and TU3=102TU_3 = 102 utils
Marginal utility measures the extra satisfaction gained from consuming one additional unit.
2
Apply the Marginal Utility formula MU=ΔTU/ΔQMU = \Delta TU / \Delta Q
MU4=120102=18MU_4 = 120 - 102 = 18 utils
Subtracting previous total utility from current total utility gives the additional utility contributed by the 4th unit.

Key Concept

Marginal Utility Calculation from Total Utility Schedule
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