Charlie has a utility function U(x_A, x_B)  x_Ax_B, the price of apples is $1, and the price of bananas is $2.If Charlie's income were $200, how many units of bananas would he consume if he chose the bundle that maximized his utility subject to his budget constraint?

A) 25
B) 10
C) 100
D) 50
E) 150

Utility Function

A representation in economics of how consumers rank different bundles of goods based on the level of satisfaction or utility they provide.

Budget Constraint

An equation that represents all combinations of goods and services a consumer can afford, given their income and the prices of the goods.

Income

The financial gain earned or received over a period of time, typically through work, investments, or business ventures.