1:prove that R is equivalance relation
2:find the different equivalance classes
A company produces two types of products A and B with the help of machines M1 and M2. The production time of one unit of A on the two machines M1 and M2 are 2 and 3 hours repectively and for one unit of B on the two machines M1 and M2 are 3 and 2 hours respectively. Machines M1 and M2 can run 240 hours and 300 hours respectively in a month . The profit of the product A and B are Rs.3 per unit and Rs.2.5 per unit respectively . formupate the problem as an linear programming problem , so as to determine the number of products of each type each month for maximum profit and solve it graphically?