please answer all the parts of the question within 30 minutes. make sure the explanation and reasons are explained in very detailed manner as in why the option is correct and why other options sre incorrect give reasons for the same , Attempt the answer only if your are 100% sure that its correct. else leave it for other tutor otherwise i will give negative ratings and will also report your answer for unprofessionalism. Make sure the answer is 100% correct and is not copied from anywhere. ATTEMPT THE QUESTION ONLY IF YOU ARE 100% CORRECT AND SURE. ELSE LEAVE IT FOR ANOTHER TUTOR. BUT PLEASE DONT PUT WRONG ANSWER ELSE I WILL REPORT.

If the optimal decision variable values in an ordinary linear program (without integer restrictions) are rounded to the nearest whole number in order to obtain a solution to the corresponding integer program, this solution is for the integer program. never optimal or feasible. O sometimes optimal and feasible. always optimal and feasible. O always feasible but never optimal