Suppose the utility function $U = f ( x , y ) \text { is a measure of the utility (or satisfaction) }$ derived by a person from the consumption of two products x and y. Determine the marginal utility of product $x$ if the utility function is $U = - 5 x ^ { 2 } + x y - 7 y ^ { 2 }$.
A) $U _ { x } = - 7 x + y$
B) $U _ { x } = - 9 x - y$
C) $U _ { x } = - 10 x + y$
D) $U _ { x } = - 14 x - y$
E) $U _ { x } = - 11 x + y$

Question

Quizplus · Accepted Answer

The marginal utility of product $x$ is the partial derivative of the utility function $U$ with respect to $x$. Differentiating $U = - 5 x^2 + xy - 7 y^2$ with respect to $x$ gives $U_x = -10x + y$.

Suppose the Utility Function U=f(x,y) is a measure of the utility (or satisfaction) U = f ( x , y ) \text { is a measure of the utility (or satisfaction) }U=f(x,y) is a measure of the utility (or satisfaction)

Suppose the Utility Function $U = f ( x , y ) \text { is a measure of the utility (or satisfaction) }$