The market for a standard-size cardboard container consists of two firms: Composite Box and Fiberboard. As the manager of Composite Box, you enjoy a patented technology that permits your company to produce boxes faster and at a lower cost than Fiberboard. You use this advantage to be the first to choose its profit-maximizing output level in the market. The inverse demand function for boxes is P = 800 4Q, Composite Box's cost are Cc(Qc) = 40Qc , and Fiberboards cost are CF(QF) =80QF. Ignoring antitrust considerations, would it be profitable for your firm to merge with Fiberboard? If not describe why not; if so, put together an offer that would permit you to profitably complete the merger.