please solve it

(a) A production requires three machines, M1,M2 and M3 to produce two products P1 and P2. The two products sell for the (fixed) unit price of $12 and $27, respectively, while the capacities of the three machines are 15,14 , and 12 hours, respectively per day. It takes 9 minutes to process one unit of unit of P1 on M1,6 minutes to process one unit of P1 on M2, and 10 minutes to process one unit of P1 on M3 with the corresponding data for P2 as 12,14 and 18 . Suppose at least 70 product units are made and sold accordingly. Formulate the problem using linear program modeling to enhance the revenue from the sales of these products (Hint: order of product processing on the machines should be neglected; all capacities are of the same period) (b) With a well-scaled graph, solve the LP model formulated in 1(a) using graphical