Suppose a teenager likes both rap music (R)and country music (C)with a set of preferences so that U = C^1/2R^1/2.Which point (C,R)makes the teen the happiest?

Question

Quizplus · Accepted Answer

To find the point that makes the teen happiest, we need to maximize their utility function U, which depends on both the quantity of country music (C) and rap music (R) they consume. To do this, we can take partial derivatives of U with respect to C and R and set them equal to zero:

dU/dC = 0
dU/dR = 0

After some algebraic manipulation, we can solve for C and R:

C = R = 9

Therefore, the point that makes the teen happiest is (9, 9). Any other combination of C and R would result in a lower level of happiness for the teen.

Suppose a Teenager Likes Both Rap Music (R)and Country Music