Which of the following are true statements about all linear programs? There will

Question

Which of the following are true statements about all linear programs? There will always be constraints involving the decision variables There will always be a single optimal solution, occurring at a comer of the feasible region The decision variables will always be greater than or equal to 0 There will always be a feasible region There will always be constraints involving the decision variables There will always be an objective function in terms of the decision variables, which must be either maximized or minimized there will always be decision variables under the control of the managers Constraints can contain lessthanorequalto and greaterthanorequalto, but never True False

Explanation / Answer

1)The true statements are

i) As the constraints always contain the decision variables

ii) As the optimal solution exists at the corner point.

iii) Because the decision variables are non negative

v) As the constraints always contain the decision variables

vi) As the objective function is ment either to be maximized or minimized

Note :

iv) Is not always correct there may not exist feasible region

vii) Some times decision variables are not in managers hands

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