2. (Total 25 points) (a) (15 points) Write the standard form for the following lincar programming problem (b) (10 points) A linear programming problem involves three decision variables x1,x2 and 3 which denote the number of units of three products. Write the constraints for the following situations. (i) ( 2 points) x1 should be at least 60% of total units of all products together. (ii) (2 points) Total number of units produced for first two products should be not less 25 . (ii) 2 points) Number of units of the first product should be at most as many as that for the second product. (iv) (2 points) 2 and 3 together should be at most 35 . (v) (2 points) Number of units of each of first and third product should be at least 15 but not more than 2