WAEC Economics 2010 Theory question 101

Theory question 101

Theory of Consumer Behaviour

The table below represents a traveller's consumption of bottles of Coca-Cola. Study the table carefully and answer the questions that follow.
No. of bottles | Total Utility | Marginal Utility
1 | 15 | 15
2 | 29 | F
3 | 42 | 13
4 | D | 12
5 | 65 | G
6 | 75 | H
7 | E | 0
(a) Complete the missing figures D, E, F, G and H
(b) Draw the demand curve for the traveller's consumption of Coca-Cola. (The use of a graph sheet is essential).
(c) Explain the law of diminishing marginal utility as the basis for the slope of the traveller's demand curve.

Show the model answer
Model answer

(a) MU = TUn − TUn−1
F = 29 − 15 = 14; D = 42 + 12 = 54; G = 65 − 54 = 11; H = 75 − 65 = 10; E = 75 + 0 = 75
(b) Marginal utility (as the price the traveller is willing to pay) on the vertical axis against number of bottles on the horizontal axis; plot 15, 14, 13, 12, 11, 10, 0 against 1–7: a downward-sloping curve labelled DD with title and scale.
(c) Each extra bottle gives less satisfaction than the one before (MU falls from 15 to 0). A rational consumer buys more only if the price falls to match the lower marginal utility (MU = P), so more is bought only at lower prices: the demand curve slopes downward from left to right.

Explanation

Demand is derived from the MU curve because the consumer buys where MU = price.