the container size, availability, and expected profit per container upon distribution. (Let A be the number of containers of grain A and B be the number of containers of grain B.) Max A,B0 Solve for the optimal solution. (A,B)=() (b) What would be the optimal solution if you were not allowed to purchase fractional containers? (b) What would be the optimal solution if you were not allowed to purchase fractional containers? (A,B)=() (c) There are three possible results from rounding an LP relaxation solution to obtain an integer solution: 1. The rounded optimal LP relaxation solution will be the optimal IP solution. 2. The rounded optimal LP relaxation solution gives a feasible but not optimal IP solution. 3. The rounded optimal LP relaxation solution is an infeasible IP solution. (i) Round down all fractional values from the solution to part (a). Which result above (1,2, or 3) occurs under this rounding method? 1 2 3 (ii) Round up all fractional values from the solution to part (a). Which result above (1,2, or 3) occurs under this rounding method? 1 2 3 (iii) Round off (to the nearest integer) all fractional values from the solution to part (a). Which result above ( 1 , 2 , or 3 ) occurs under this rounding method? 1 2 3