PRC-2 · Chapter 4 · Question 13 of 60
Given the objective function to maximize profit P = 400x + 200y, and corner points of a feasible region at (0, 10), (8, 0), and (5, 5). What is the maximum profit achievable?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) Rs. 3,200
Explanation
Evaluating the corner points: (0, 10) yields P = 2000. (8, 0) yields P = 400(8) = 3200. (5, 5) yields P = 400(5) + 200(5) = 2000 + 1000 = 3000. The maximum profit is Rs. 3,200 at (8, 0).
More Linear Programming MCQs
- Q15A graphical boundary line is defined as x = 4. What does the inequality x ≥ 4 represent visually on the coordinate plane?
- Q16What is the primary overarching purpose of utilizing linear programming in a business scenario?
- Q17A factory produces items X and Y. Production is restricted by the inequalities x ≤ 20, y ≤ 30, and x ≤ 50. Which of these constraints is…
- Q18In a linear programming graph, what specific term describes the geometric area that satisfies all the given linear inequalities…
- Q19The specific mathematical equation that a company seeks to maximize (such as total profit) or minimize (such as total costs) is formally…