Suppose that the price P (in dollars)to purchase a used car is a function of C, its original cost (in dollars), and its age A (in years).So P = f(C,A). What is the sign of $\frac { \partial P } { \partial C } ?$

A)Positive
B)Negative

Question

Suppose that the price P (in dollars)to purchase a used car is a function of C, its original cost (in dollars), and its age A (in years).So P = f(C,A). What is the sign of $\frac { \partial P } { \partial C } ?$

A)Positive
B)Negative

Quizplus · Accepted Answer

The partial derivative of P with respect to C, $\frac{\partial P}{\partial C}$, is positive because as the original cost (C) of a used car increases, its purchase price (P) is also likely to increase, all else being equal. This reflects the idea that more expensive cars tend to retain higher resale values.

Suppose That the Price P (In Dollars)to Purchase a Used ∂P∂C?\frac { \partial P } { \partial C } ?∂C∂P​?

Suppose That the Price P (In Dollars)to Purchase a Used $\frac { \partial P } { \partial C } ?$