Given that the optimal solution of the following linear programming problem is x = 15 ...

  

Given that the optimal solution of the following linear programming problem is x = 15 and y = 10, State the problem in standard form and do a constraint analysis for the optimal solution. 

Maximize z =  50x + 40y 

Subject to 

4x + 2y ≤ 80 

3x + 5y ≥ 60 

y ≤ 10 

x, y ≥ 0