Suppose a consumer whose budget is <500, wants to consume only two goods, Good X and Good Y. The goods are respectively priced at <50 and <25.
Answer the following questions based on the given information :
(a) State the budget equation of the consumer.
(b) What is the slope of the budget line?
(c) How many units can she purchase if she spends the entire <500 on Good X?
(d) How many units can she purchase if she spends the entire <500on Good Y, given that the price of good Y has doubled?
OR
‘‘For a consumer to be in equilibrium position, marginal rate of substitution between the two goods must be equal to the ratio of prices of
the two goods.'' Do you agree with the given statement? Justify your answer.
(a) let the two goods be X and Y
Price of X=50
Price of Y=25
Total Income=1250
50x+25y=1250
2x+Y=50
(b) the slope of the budget line
2x+Y=50
The goods willing to sacrifice by X/by Y = -2/1=-2
(c) If she spends the entire 500 on good X the consumption of Y would be 0.
So, 2x+(0)=50
X=25
(d) If she spends the entire amount on good Y, then
2(0)+Y=50
Y=50
But since the price has been doubled 50/2=25
OR
Marginal rate of substitution is the rate at which the consumer readily gives up one commodity for an extra unit of another commodity.
Condition to be in equilibrium:
Marginal utility of product x / Price of x = Marginal utility of y/Price of y
i.e. MUx/Px= MUy/Py
or Px/Py= MUy/MUx
this shows that consumer to be in the equilibrium position, marginal rate of
substitution between the two goods must be equal to the ratio of prices of
the two goods.
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.