Question

For each of the following functions compute the demand function

for x and y.
(a) u(x, y) = 9√ x + y
(b) u(x, y) = 0.5x + y
(c) u(x, y) = min{2x, 3y}

Answer 1

To compute the demand function for each of the given functions, take partial derivatives with respect to x and y and multiply them with -1.

Step-by-step explanation:

To compute the demand function for each of the given functions, we need to find the derivative with respect to the respective variables. The demand function for a function u(x, y) can be found by taking partial derivatives with respect to x and y and then multiplying them with -1.

Here are the demand functions for the given functions:

(a) Let's find the demand function for u(x, y) = 9√ x + y:
Demand function for x: -9/(2√ x + y)
Demand function for y: -1

(b) Let's find the demand function for u(x, y) = 0.5x + y:
Demand function for x: -0.5
Demand function for y: -1

(c) Let's find the demand function for u(x, y) = min{2x, 3y}:
Demand function for x: -2
Demand function for y: -3