Production managers for the Pottsville Hard Hat Corporation estimate their production function to be TP = 48L + 9L2 - L3 where T? is measured in hats and labour (L) is the variable input. [a] What is the equation for APL? TP {b}W'hat is the equation for MPL'? {c } What is the maximum output that can be produced? AP, MP {d} At what level of input, does diminishing AP take place '1' {e} What would you be willing to pay 5 units of labour in hats? In dollars, if hats sold for $23? {f} If the wage rate were 24 hats, how many labour would you hire