Answer:
She consumes 41 units of good X.
Explanation:
Utility Maximization:
The maximum utility that a consumer derives from the use of a specified amount of a good or service.
Consumer M
aximise the utility when following condition is satisfied.
MUx / MUy = Px / Py
Y / X = 5 / 4
4Y = 5X
According to given sitation the budget constraint is
Px ( X ) + Py ( Y )= M
5X + 4Y = 410
Using 4Y = 5X
thus, 5X + 4Y = 410
5X + 5X = 410
10X = $410
X = 41.
