Pak Company produces furniture and uses a joint process to manufacture two grades of wood: X and Z. During October, the company incurred $48,600,000 of joint production cost. Company produced 81,000,000 board feet of Grade X and 27,000,000 board feet of Grade Z lumber. The company can sell Grade X lumber at the split-off point for $0.70 per board foot and Grade Z lumber at the split-off point for $0.50 per board foot. Alternatively, Grade X lumber can be further processed at a cost of $0.75 per board foot and then sold for $1.50 per board foo and Grade Z can be processed at a cost of $0.55 and can be further sold for $ 1.10 a. How much joint cost should be allocated to Grade X and to Grade Z lumber using the physical units method, sale price method and approximate realized method? b. If Grade A lumber is processed further and then sold, what is the incremental effect on Pak company? Should the additional processing be performed?