In a day, Adam could produces x M product and y N product, according to the following constraints:-

              I.      The maximum total of crafting hours is 10 hours

           II.      The total decoration hour is at least 6 hours

         III.      The ration of M to N is not more than 2:3

a)      Write down all the inequalities except x>0 and y>0 which meets the above constraints                                                        (3 marks)

b)      By using a scale of 1cm to 2 unit or the both axes, build  and shade the region R which meets all the above constraints                 (3 marks)

c)      By using your graph from b) find:-

                                                               i.            The minimum and maximum product of M produced f 12 N products are produced a certain day

                                                             ii.            For every product of M sold, Adam earns a profit of RM 40 and RM60 for N product respectively, what is the total maximum profit do Adam gained?                                                              (4 marks)