A consumer consumes only two goods x and y. Her money income is ₹24 and the prices of goods x and y are ₹4 and ₹2 respectively. (A) can the consumer afford bundle 4x and 5y? (B) what will be the MRSxy when consumer is in equilibrium?

Dear student,

Given,

Money Income (M)= Rs 24
P_x=  Rs 4
P_y= Rs 2

In response to the first part of your query, the consumer can not afford the bundle 4X and 5Y as this bundle exceeds the given money income of the consumer. We can show the same with the help of the budget line equation i.e.

$$\begin{gathered} P_x\times Q_x+P_y\times Q_y=M \\ In case of the bundle 4X and 5Y, \\ 4\times 4+2\times 5=26>24 (given money income) \end{gathered}$$

Hence, the consumer cannot afford this bundle.

In response to the second part of the query, a consumer attains equilibrium at a point where the slope of the budget line is equal to the slope of indifference curve i.e.

$$\begin{gathered} \left|-\frac{P_x}{P_y}\right|=\left|MR{S}_{xy}\right| \\ \left|\frac{-4}{2}\right|=MR{S}_{xy} \\ Hence at equilibrium, MR{S}_{xy}=2 \end{gathered}$$

REGARDS