Natures Finest Too buys chickens and sells them as fillets, wings, and drumsticks. Suppose a whole chicken cost P160 each, and on average weighs one kilogram. The cost to process each chicken into parts is P40 per chicken. After processing, the fillets weigh half a kilogram on average, the wings weigh one-eighth of a kilogram, and the drumsticks weigh three-eighths of a kilogram. Cleaning and packaging costs for fillets, wings, and drumsticks are P80, P16, and P4, respectively, per chicken. The fillets are then sold for P240. The wings are then sold for P30. The drumsticks are then sold for P80.

Based on the foregoing:

1. What is the common cost per chicken shared by all three parts? Partition the cost to the three parts based on weights. Show the related profits or losses. Provide computations.
2. Will management be justified if it no longer sells wings and instead concentrates only fillets and drumsticks.? Why or why not? Explain your answer thoroughly.