Mathematics

Arabella Krueger

21 September, 14:33

The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. LaTeX: X_1=X 1 = number of product 1 produced in each batch LaTeX: X_2=X 2 = number of product 2 produced in each batch MAX: LaTeX: 150/:X_1+250/:X_2150 X 1 + 250 X 2 Subject to: LaTeX: 2/:X_1+5/:X_2/le2002 X 1 + 5 X 2 ≤ 200 LaTeX: 3/:X_1+7/:X_2/le1753 X 1 + 7 X 2 ≤ 175 LaTeX: X_1,/:X_2/ge0X 1, X 2 ≥ 0 How much profit is earned per each unit of product 2 produced?