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`u(x, y) = xstar,ystar = (a*y)/((a+b)*px) , (b*y)/((a+b)*py)`

Enter a value for all fields

The **Cobb-Douglas Utility Maximizing Consumption Bundle** calculator computes the x and y value for the maximized consumption based on the utility exponents for two goods, the price of the two goods and the consumer income level.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**a**) Utility exponent for good x - (
**b**) Utility exponent for good y - (
**px**) Price of good x - (
**py**) Price of good y - (
**y**) Consumer Income Level

**Utility Maximizing Consumption Bundle ( x*, y*):** The calculator returns the maximized bundle.

The formula for the Cobb-Douglas Utility Maximizing Consumption Bundle is:

x* `= (a*y)/((a+b)*px)`

y* `= (b*y)/((a+b)*py)`

where:

- x*,y* = Utility Maximizing Consumption Bundle
- a = Utility exponent for good X
- b = Utility exponent for good Y
- px = Price of good X
- py = Price of good Y
- y = Consumer Income Level

`x^alphay^beta::: P_x\x + P_y\y = Y`

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