(18 points) A firm must choose total employee hours and factory hours k knowing that the hourly wage is $10, hourly factory rental rate is $20, and total quantity produced will be q = f (k, ). The employee must be present for all hours the factory is rented. Each unit of output can be sold at a price $p, which the firm takes as given. a) (2 points) Formally write the firm's profit maximisation problem. b) (2 points) How would you confirm this problem has a maximum? c) (4 points) How would you