question

Consider the problem: Minimize cost = 15x + 4y 

Subject to: 1x + 3y ≥ 480 

4x + 1y ≤ 1700 

- 5x + 1y ≤ 0 

x ≤ 300 

x, y ≥ 0  

A graph showing the feasible region has been prepared below.  

a) Find the coordinates of the corners of the feasible region (using algebra)  

b) Calculate the corresponding costs for each corner  

c) Identify the optimal solution and the minimal cost.