3. A manufacturer makes two types of toys A and B. Three machines are needed for this purpose and the time (in minutes) required for each toy on the machines is given below: Types of Toys Machines I II III A 12 18 6 B 60 9 Each machine is available for a maximum of 6 hours per day. If the profit on each toy of type A is RM 7.50 and that on each toy of type B is RM 5, show that 15 toys of type A and 30 of type B should be manufactured in a day to get maximum profit.