Put the problem in standard form and do a constraint analysi

Put the problem in standard form and do a constraint analysis for the optimal solution( the optimal solution is x = 10 and y = 10)

Maximize   100x + 80y

Subject to

       x, y > 0

5x + 2y 80

      3x + 5y 60

        x + y 20

               x 10

Solution

Solving the above problem graphically we get the results as mentioned below

Optimal solution is (10,10)