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what is budget line ? Related: Chapter Notes - Consumer's Equilibriu...
A budget line (BL) describes the combinations of goods that exhausts consumer income. It can be written as
x.p(x) + y.p(y) = m
where
m is consumer income.
x and y denotes quantities of two goods.
p(x) and p(y) are their respective prices.
x.p(x) and y.p(y) measures amount spent on goods x and y respectively.
Budget Line can be rewritten as
y = m/p(y) - [p(x) /p(y)].x
It tells us how much units of y consumer needs to consume to satisfy budget constraint if he is consuming x units of good 1
Let us now take an example.
Suppose a consumer has a budget of $800 to be spent on two commodities food (f) and clothing (c). If food is priced at $10 per unit and clothing is priced at $20 per unit, then consumer can determine the various combinations(bundles), which form the budget line.
m = p(c).c + p(f).f
800 = 20c + 10f
Some possible options of spending $800 completely are given in the table below .
Few observations -
1 Budget line slopes downwards as more of one good can be bought by decreasing some units of other.
2 Bundles that exhaust consumer’s income lie on budget line. Bundles which cost less than consumer’s income lie inside budget line.
3 Budget line shifts when one or more of its determinants - income and prices of the two goods changes.
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what is budget line ? Related: Chapter Notes - Consumer's Equilibriu...
Budget Line:

The budget line is a graphical representation of the various combinations of two goods that a consumer can afford to buy given their income and the prices of the goods. It shows the limits of a consumer's purchasing power and helps determine their consumption choices.

Components of a Budget Line:
1. Income: The amount of money a consumer has available to spend on goods and services. It represents the consumer's budget constraint.
2. Prices of Goods: The cost of each good in terms of money. These prices determine the slope of the budget line.

Graphical Representation:
The budget line is typically represented on a graph with the quantity of one good on the x-axis and the quantity of the other good on the y-axis. The slope of the budget line is determined by the ratio of the prices of the two goods.

Equation of a Budget Line:
The equation of a budget line can be expressed as:
Income = (Price of Good 1) * (Quantity of Good 1) + (Price of Good 2) * (Quantity of Good 2)

Shifts in the Budget Line:
1. Change in Income: An increase in income shifts the budget line outward, allowing the consumer to afford more of both goods. Conversely, a decrease in income shifts the budget line inward, limiting the consumer's purchasing power.
2. Change in Prices: If the price of one good increases while the other remains constant, the budget line rotates inward, limiting the consumer's ability to buy the more expensive good. If the price of one good decreases, the budget line rotates outward, allowing the consumer to purchase more of the cheaper good.

Budget Line and Consumer Equilibrium:
The budget line intersects with the indifference curve to determine the consumer's equilibrium point. This point represents the combination of goods that maximizes the consumer's satisfaction, given their budget constraint. The consumer will choose the point on the budget line where the indifference curve is tangent to the budget line, indicating the highest level of satisfaction achievable within their budget.

In conclusion, the budget line is a graphical representation of a consumer's purchasing power, determined by their income and the prices of goods. It helps consumers make consumption choices and find their equilibrium point. By understanding the budget line, consumers can make informed decisions about their consumption patterns and optimize their satisfaction.
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what is budget line ? Related: Chapter Notes - Consumer's Equilibrium and Demand, Class 12, Economics
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