If the utility function (U)between food (F)and clothing (C)can be represented as U =
,the marginal utility of food equals
A) .
C)1/2
D)1/2 .

Question

If the utility function (U)between food (F)and clothing (C)can be represented as U = 
,the marginal utility of food equals
A) . 
C)1/2 
D)1/2 .

Quizplus · Accepted Answer

The marginal utility of food can be found by taking the partial derivative of the utility function with respect to food. In this case, it would be 6e^(7c-8f). Taking the derivative of this with respect to f gives -48e^(7c-8f). Setting this equal to 0 and solving for f would give the optimal amount of food to consume. However, since we don't have any specific values for c or f, we can't solve for the optimal amount. Therefore, C is the best choice because it gives the expression for the marginal utility of food.

Note: Choices A, B, and D all have incorrect exponents, suggesting a computational error.

If the Utility Function (U)between Food (F)and Clothing (C)can Be