Part B Question 1 Linear Programming A toy manufacturer make bikes, for a profit of $12, and wagons, for a profit of $10. To produce a bike requires 2 hr of machine time and 4 hr painting time. To produce a wagon requires 3 hr machine time and 2 hr painting time. There are 12 hr of machine time and 16 hr of painting time available per day. If the manufacturer must produce at least two bikes and two wagons daily, how many of each toy should be produced to maximize profit? Let x be the number of bikes and y be the number of wagons. Objective Function: Max (1 mark) Subject to: (1 mark) (1 mark) (1 mark) daily, how many of each toy should be produced to maximize profit? Let x be the number of bikes and y be the number of wagons. Objective Function: Max (1 mark) Subject to: (1 mark) (1 mark) (1 mark) Optimal production policy: Produce bikes (3 marks) and wagons