Answer:
The slope of indifference curve is 7.
Explanation:
The marginal utility of good Y = 2X^2
The marginal utility of good X = 4XY
Given Y = 7
X = 2
The slope of the indifference curve is otherwise termed as the marginal rate of substitution. So, we can find the slope by dividing the marginal utility of Y by the marginal utility of X.
Slope = MUx / MUy
= 4XY / 2X^2
= 4Y / 2X
Now insert the value of X and Y.
= (4×7) / (2×2)
= 28/4
= 7
Hence the slope of the indifference curve is 7.
