Answer:
A. The final objective function value will change by the size of the change times the final value of the decision variable related to this objective coefficient.
Explanation:
By modifying the one coefficient of the objective with the rise or decrease in the permitted modify the amount of the objective function i.e. final. Also the magnitude of modifying the value would be equivalent to the modify of the change in terms of coefficient times the final value with respect to the decision variable that is interrelated to the coefficient of the objective
hence, the correct option is a.