Determine Whether the Statement Is True or False

Multiple Choice

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The following problem is a linear programming problem.
Minimize subject to: x - y = 0

A) False.
As we know, a linear programming problem consists of a linear objective function to be maximized or minimized subject to certain constraints in the form of linear equalities or inequalities. The linear objective function to be minimized is C = 4x + 5y , but the constraint are not in the form of linear inequality.
B) True.
As we know, a linear programming problem consists of a linear objective function to be maximized or minimized subject to certain constraints in the form of linear equalities or inequalities. The linear objective function to be minimized is C = 4x + 5y , and all the constraints are in the form of linear equalities or inequalities.