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Show that Demand of a Commodity is Inversely Related to Its Price. Explain with the Help of Utility Analysis. - Economics

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Question

Show that demand of a commodity is inversely related to its price. Explain with the help of utility analysis.

Solution

Suppose a consumer consumes a good X and its price falls. In such a case, the consumer will get a greater marginal utility by consuming good X than the other goods. Thus, he will increase the consumption of good X and its demand will increase. However, in case of the price rises, the consumer will get lower utility from the consumption of good X and thus, he will reduce the demand for it

Consider the following demand schedule for a commodity X 

Price of Commodity (in Rs) Quantity Demanded of (units)
10 100
15 50
20 25
25 15
30 5

A close analysis of the above schedule reveals that quantity demanded of a commodity holds a negative relationship with the price. In other words, it shows that at a higher price the quantity demanded of X falls (as the marginal utility of the consumer declines) and vice-versa. For example, as the price increases from Rs 10 to Rs 15, the quantity demanded falls from 100 units to 50 units.

Graphically, it is represented as shown below.

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2016-2017 (March) Delhi Set 1
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