Identify if the given linear programming problem is a standard maximization problem. If it is a standard maximization problem, then express the constraints as slack variable equations, write the...

Identify if the given linear programming problem is a standard maximization problem.  If it is a standard maximization problem, then express the constraints as slack variable equations, write the objective function in standard form, and set up the initial simplex tableau.  If it is not a standard maximization problem, then explain all the reasons why it is not and type NA (or Not Applicable) in the remaining boxes.

Maximize: P=100x+200y+50z

subject to: 5x+5y+10z≤1000

10x+5y≤50

0≤x, 0≤y, 0≤z

Standard Max Answer Here, Yes or No with reasons (Keyboard only):

Slack Variable Equations Here: (enter NA if it is not a standard maximization problem)

Objective Function in Standard Form Here: (enter NA if it is not a standard maximization problem)

Initial Simplex Tableau Here: (enter NA if it is not a standard maximization problem)