(Solved): Identify if the given linear programming problem is a standard maximization problem if not why, if s ...

Identify whether the given linear programming problem is a standard maximization problem. Maximize: \( P=4 x_{1}-6 x_{2} \) subject \( \quad 3 x_{1}-5 x_{2} \leq 9 \) to: \( \quad 2 x_{1}+5 x_{2} \leq 14 \) If it is not a standard maximization problem, select the reasons why. (Select all that apply.) Yes, the linear programming problem is a standard maximization problem. No, the objective function must be maximized (Property 1). No, there is at least one constraint (excluding the non-negative conditions) that is not written using the \( \leq \) inequality (Property 2 ). No, there is at least one constant in a constraint to the right of the \( \leq \) that is negative (Property 3 ). No, the variables must be non-negative (Property 4).