Charlie Consumes Apples and Bananas $\mathbf{U}\left(X_{A}, X_{B}\right)=x_{A} x^{2} B$

question 27

Multiple Choice

Charlie consumes apples and bananas. His utility function is $\mathbf{U}\left(X_{A}, X_{B}\right) =x_{A} x^{2} B$
-refer to scenario above,, Charlie's utility function is x_Ax_B.The price of apples used to be $1 per unit, and the price of bananas $2 per unit.His income was $40 per day.If the price of apples increased to $1.25 and the price of bananas fell to $.25, then in order to be able to just afford his old bundle, Charlie would have to have a daily income of

• A)$13.75.
• B)$41.25.
• C)$27.50.
• D)$56.
• E)$110.

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Definitions:

Diametral Pitches

Diametral pitches refer to the number of teeth per inch of the diameter of a gear, which determines the size of the teeth and the pitch of the gear.

Ratchet Wheel

A wheel or gear with teeth cut in a way that allows motion in one direction only, often used in mechanisms requiring incremental movement.

Pawl

A mechanical component that engages with another component to prevent motion in one direction, or to drive a mechanism intermittently.

Center

The point that is equally distant from all points on the circumference of a circle or the surface of a sphere; in geometry, it's the midpoint of any shape or object.