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Which of the following statements are true regarding decision variables?Group of answer choicesMeasure the objective function.Measure the values of each constraint.Measure how much or how many items to produce, purchase, hire, etc.Always exist for each constraint.

Question

Which of the following statements are true regarding decision variables?Group of answer choicesMeasure the objective function.Measure the values of each constraint.Measure how much or how many items to produce, purchase, hire, etc.Always exist for each constraint.

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Solution

The statement "Measure how much or how many items to produce, purchase, hire, etc." is true regarding decision variables. Decision variables are the variables that decision makers will want to control or optimize in order to achieve a certain objective.

The statement "Measure the objective function." is not entirely true. Decision variables do not measure the objective function, but they are used within the objective function. The objective function is a mathematical equation that describes the problem objective and involves the decision variables.

The statement "Measure the values of each constraint." is also not entirely true. Decision variables do not measure the values of each constraint, but they are used within the constraints. Constraints are the restrictions or limitations on the decision variables.

The statement "Always exist for each constraint." is not necessarily true. While decision variables are used within the constraints, it is not necessary for each constraint to have a unique decision variable. Some constraints may involve multiple decision variables, and some decision variables may be involved in multiple constraints.

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