Explain why the linear programming problem has an optimal solution, and find it using the table method.
Maximize P = 15x + 30X2
subject to - 4x4 + x2 s 20
X, S 50
Xy, xz 20
Explain why the linear programming problem has an optimal solution.
1f (X4 X2) is a point in the feasible region, then 0 sxy s 50 and 0 sxs 220. Thus, the feasible region is bounded.
(Simplify your answers.)
Find the optimal solution. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A The function is maximized when x2 = 50 and x2 = 220), where P = 7,350
(Simplify your answers.)
B. The system has no optimal solution.