Assume you are solving an optimization model below. Max 40C + 50T s.t. C+aT <= 10 (a is not equal to 0) (b is not equal to 0) (d is not

equal to 0) 4C+bT <= 32 6C+dT <-25 C = 0, T > O After solving it, the optimal value is 280 and the optimal solution is C = 2 and T = 4. Please pick up the correct statement(s) below (there might be more than one correct statement): If the correct objective coefficient for C is 35 instead and we know this correct coefficient value is within the sensitivity range of the objective coefficient for C, the new optimal solution can still be computed as C-2 and T-4 even though we don't know the exact values of a, b and d. If the correct objective coefficient for C is 30 instead and we know this correct coefficient value is within the sensitivity range of the objective coefficient for C, the new optimal value can be computed as 260. □ If the correct objective coefficient for C is 60 instead, to predict the new optimal value, we need to find the shadow price for the objective coefficient of C first and apply the shadow price to obtain the new optimal value. □ If the correct objective coefficient for C is 50 instead, the correct optimal solution will not be C-2 and T-4 for sure.