For a given c R", define the function F(y) of y R", as F(y) = max R" & 0 [y x + c x]. . (a) 2 marks Evaluate F(y), whose value, of course, depends not only on y but also on c. You have to justify your answer. Hint: Be careful with the constraint > 0. (b) 3 marks Continuation from (a). Solve the following optimization problem: Minimize F(y) subject to 0.