Question: A woodworker makes two types of carvings, ducks and hawks. Carving one duck requires 4 hours and materials that cost $42. Carving one hawk requires 5 hours and materials that cost $48. The woodworker wants to work no more than 60 hours/week and spend no more than $900 for materials. If his profit for a duck is $60 and his profit for a hawk is $66,

a) express this information in the form of an objective function which can be maximized and the appropriate constraint inequalities.

b) maximize the objective function.