Xavier and Yvette Are the Only Two Persons on a Desert

question 15

Multiple Choice

Xavier and Yvette are the only two persons on a desert island.There are only two goods, nuts and berries.Xavier's utility function is U(N_x, B_x) = N_xB_x.Yvette's utility function is U(N_y, B_y) = 5N_y + B_y.Xavier is endowed with 4 units of berries and 13 units of nuts.Yvette is endowed with 6 units of berries and 8 units of nuts.In a competitive equilibrium for this economy, how many units of berries does Xavier consume?

• A)37.50
• B)69
• C)34.50
• D)32.50
• E)None of the above.

---

Definitions:

Receptors

Specialized cells or proteins that detect and respond to chemical signals, such as hormones or neurotransmitters.

Red

A primary color that can be perceived by the human eye and is often associated with meanings of love, danger, or warning.

Green

Often associated with environmental sustainability, the color green symbolizes growth, harmony, and freshness, and is linked with initiatives to protect the natural environment.

Blue

A primary color in the spectrum lying between green and violet, often associated with depth and stability, and representing qualities like trust, loyalty, wisdom, and confidence.