Xavier and Yvette Are the Only Two Persons on a Desert

question 42

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) = 2N_y + B_y.Xavier is endowed with 3 units of berries and 8 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)12.50
• B)19
• C)7.50
• D)9.50
• E)None of the above.

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Definitions:

Variable Cost

Costs that vary directly with the level of production or output, such as materials and labor, in contrast to fixed costs which remain constant regardless of output.

Total Cost

The total of all costs associated with the creation of goods or services, encompassing both fixed and variable expenses.

Average Variable Cost

Average Variable Cost is the total variable costs (costs that change with the level of output) divided by the quantity of output produced, representing the cost of producing one additional unit of goods or services.

Marginal Cost

Expenses related to the production of an additional unit of any good or service.