If a maximization problem has an objective function of 3x₁ + 10x₂,which of the following corner points is the optimal solution? A)(0,2) B)(0,3) C)(3,3) D)(5,1) E)(0,0)

Question

Quizplus · Accepted Answer

To find the optimal solution, we need to evaluate the objective function at each of the corner points and choose the one that yields the highest value.

- At (0,0): 3(0)(1)(1)(0) + 10(0)(2)(1)(0) = 0
- At (0,2): 3(0)(1)(1)(2) + 10(0)(2)(1)(2) = 0
- At (0,3): 3(0)(1)(2)(3) + 10(0)(2)(1)(3) = 0
- At (3,3): 3(3)(1)(2)(3) + 10(3)(2)(1)(3) = 117

Therefore, the optimal solution is at (3,3) and the answer is choice C.

If a Maximization Problem Has an Objective Function of 3x1

If a Maximization Problem Has an Objective Function of 3x₁