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 products 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 the simplex method)