PRC-2 · Chapter 4 · Question 22 of 60
Given an objective function to maximize profit P = 50x + 40y, and the feasible corner points are (0,0), (10,0), (0,15), and (5,10). What is the maximum possible profit?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) 650
Explanation
Test each corner point in the objective function: P(10,0) = 500. P(0,15) = 40(15) = 600. P(5,10) = 50(5) + 40(10) = 250 + 400 = 650. The maximum profit is 650.
More Linear Programming MCQs
- Q24What is the mathematical slope of the boundary line defined by the production constraint 3x + 4y = 120?
- Q25For the raw material constraint 5x + 2y ≤ 200, what is the maximum number of product 'x' that can be produced if zero units of 'y' are…
- Q26If the optimal solution of a linear program falls exactly on the intersection of two constraint lines, those specific constraints are…
- Q27If a linear programming model contains mathematical constraints that severely contradict each other, resulting in absolutely no…
- Q28In a minimization problem, if the feasible region is open-ended and extends infinitely outward in the positive direction, the region is…
