A company produces three products: A, B and C. Each product requires two raw materials; steel and aluminum. The following LP model describes the company’s product mix problem x1, x2, and x3 represent the number of units of product A, B and C respectively

Max Z = 30x1 + 10x2 + 50x3

Subject to

6 x1+ 3 x2 + 5 x3 ≤ 450 (steel)

3 x1 + 4 x2+ 5 x3 ≤ 300 (alumimium), X1, x2, x3 ≥ 0

Identify the two production methods that optimize the company’s profit (hint: Use simplex method)​