Utility Maximization

Understand the process of maximizing utility given budget constraints.

Budget Constraint

120=4.00X+6.00Y120 = 4.00X + 6.00Y
Select Income: II120

Slide right to increase income. Slide left to decrease income.

Price of Good X: PxP_x4

Slide right to increase the price of X. Slide left to decrease the price of X.

Price of Good Y: PyP_y6

Slide right to increase the price of Y. Slide left to decrease the price of Y.


Utility Function

U(X,Y)=X0.5Y0.5U(X,Y) = X^{0.5} Y^{0.5}
Preference for X: α\alpha0.5
Preference for Y: β=1−α\beta = 1 - \alpha0.5

Utility Maximization

Budget Constraint (BC) Utility Function (U)
Quantity of XQuantity of YX = 15.00Y = 10.0030.020.0

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