Let X Represent the Units of Labor and Y the Capital

Multiple Choice

Let x represent the units of labor and y the capital invested in a manufacturing process. When 135,540 units are produced, the relationship between labor and capital can be modeled by $100 x ^ { 0.75 } y ^ { 0.25 } = 135,540$ . Find the rate of change of y with respect to x when $x = 1500 \text { and } y = 135,540$ .

A) -2
B) 0
C) 3
D) -7
E) 5