By applying optimization techniques commonly used to plan operations, it is possible to determine how much effort ought to be devoted to each of a company’s products in order to meet its goals in both the short and long terms.
A. it is possible to determine how much effort ought to be devoted to each of a company’s products in order to meet its goals in both the short and long terms
B. a company’s managers can determine how much effort should be dedicated to each of the company’s products in order to meet its short and long term goals
C. it can be determined by company managers how much effort ought to be devoted to each of the company’s products in order to meet its goals, both short and long term
D. it may be possible for company managers to determine how much effort should be dedicated to each of these products in order to meet the company’s short and long term goals
E. managers at a company can determine how much effort ought to be dedicated to each of these products in order to meet the company’s goals in both the short and long term

Correct answer is B.But my question is whether you can use 'a company's managers' as the modified noun.

Guys..Please explain..

You can indeed. It is the managers who are going to be applying the techniques; "a company's" just gives you added description as to which group of managers.

_________________
Jamie Nelson
ManhattanGMAT Instructor