answer is D **Graph the Constant-Profit Lines and Identify Maximum Profit Points***Objective:* Use a straightedge to identify the corner point(s) where the maximum profit occurs for the given objective function.**Graph Explanation:**- The graph displayed shows a coordinate plane with various points marked and shaded regions.- The objective function is represented as \( P = x + y \).- The feasible region, which is shaded in blue, is bounded by the lines and axes.- Key points are plotted on the graph: (3, 2), (5, 3), (8, 4), and (0, 12).- The line passing through these points represents constant-profit lines.**Options for Maximum Profit (Point 35):**A) Max \( P = 8 \) at \( x = 5 \) and \( y = 3 \)B) Max \( P = 9 \) at \( x = 9 \) and \( y = 0 \), at \( x = 8 \) and \( y = 4 \), and at every point on the line segment joining the preceding two points.C) Max \( P = 5 \) at \( x = 3 \) and \( y = 2 \)D) Max \( P = 12 \) at \( x = 0 \) and \( y = 12 \), at \( x = 8 \) and \( y = 4 \), and at every point on the line segment joining the preceding two points.**Task:**Select the word or phrase that best completes each statement or answers the question.*Provide an appropriate response.*- Maximizing the objective given in the function by finding the right combination of variables involves analyzing these line segments and points for optimal solutions within the constraints of the given problem.

The given function is P=x+y The corner points of the feasible region are (0,12), (8,4) and (9,0)…

Graph the constant-profit lines through (3, 2) and (5, 3). Use a straightedge to identify the corner point(s) where the maximum profit occurs for the given objective function. 15 (0, 12) 10+ (8,4) (5, 3) 3,2) 89 1011 12131415 35) 35) P = x + y A) Max P = 8 at x = 5 and y = 3 B) Max P = 9 at x = 9 and y = 0, at x = 8 and y = 4, and at every point on the line segment joining the preceding two points. C) Max P = 5 at x = 3 and y = 2 D) Max P = 12 at x = 0 and y = 12, at x = 8 and y = 4, and at every point on the line segment joining the preceding two points.

Graph the constant-profit lines through (3, 2) and (5, 3). Use a straightedge to identify the corner point(s) where the maximum profit occurs for the given objective function. 15 (0, 12) 10+ (8,4) (5, 3) 3,2) 89 1011 12131415 35) 35) P = x + y A) Max P = 8 at x = 5 and y = 3 B) Max P = 9 at x = 9 and y = 0, at x = 8 and y = 4, and at every point on the line segment joining the preceding two points. C) Max P = 5 at x = 3 and y = 2 D) Max P = 12 at x = 0 and y = 12, at x = 8 and y = 4, and at every point on the line segment joining the preceding two points.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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