7. (a) What is a budget line? What does the point on it indicate in terms of prices?(b) A consumer consumes only two goods X and Y. Her money income is 24 and the prices of Goods Xand Y are *4 and 2 respectively. Answer the following questions:(i) Can the consumer afford a bundle 4X and 5Y? Explain.(ii) What will be the MRS, when consumer is in equilibrium? Explain.XY
Question
- (a) What is a budget line? What does the point on it indicate in terms of prices?(b) A consumer consumes only two goods X and Y. Her money income is 24 and the prices of Goods Xand Y are *4 and 2 respectively. Answer the following questions:(i) Can the consumer afford a bundle 4X and 5Y? Explain.(ii) What will be the MRS, when consumer is in equilibrium? Explain.XY
Solution
(a) A budget line, also known as a budget constraint, is a line that illustrates all possible combinations of two goods that a consumer can afford given their income and the prices of the goods. The point on the budget line indicates the quantity of each good that the consumer can afford given the prices of the goods. If the point is on the budget line, it means the consumer is spending all of their income. If the point is below the budget line, it means the consumer is not spending all of their income. If the point is above the budget line, it means the consumer cannot afford that combination of goods with their current income.
(b) (i) The consumer's income is 24. The price of good X is 4 and the price of good Y is 2. If the consumer wants to buy 4 units of good X, she will spend 44=16. If she wants to buy 5 units of good Y, she will spend 52=10. The total cost of buying 4 units of good X and 5 units of good Y is 16+10=26. Since 26 is greater than her income of 24, she cannot afford this bundle.
(ii) The Marginal Rate of Substitution (MRS) is the rate at which a consumer is willing to give up one good in exchange for another good, while still remaining on the same indifference curve (i.e., while still remaining equally happy). When a consumer is in equilibrium, the MRS is equal to the ratio of the prices of the two goods. This is because at equilibrium, the consumer has no incentive to alter their consumption; they are maximizing their utility given their budget constraint. The exact MRS will depend on the consumer's preferences, which are not given in this question.
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