Graph the constant-profit lines for the objective function P=x+y through (2,2) and also through (4,4). Use a straightedge to identify the corner point where the maximum profit occurs. Confirm your answer by constructing a corner point table. Q 15- 10- S 5- (0.12) (0,0) (4,10) (2.2) -10 5 (9.0) 10 15 (...) Which graph below has the correct constant-profit lines? O A. O B. 15- 10- O C. 15- 10- 5- 5 10 15 5 10 15 Q Q 37 15- 10- 5- O D. 15- 10- տե ¹10 15 5 10 15 Q Q
Graph the constant-profit lines for the objective function P=x+y through (2,2) and also through (4,4). Use a straightedge to identify the corner point where the maximum profit occurs. Confirm your answer by constructing a corner point table. Q 15- 10- S 5- (0.12) (0,0) (4,10) (2.2) -10 5 (9.0) 10 15 (...) Which graph below has the correct constant-profit lines? O A. O B. 15- 10- O C. 15- 10- 5- 5 10 15 5 10 15 Q Q 37 15- 10- 5- O D. 15- 10- տե ¹10 15 5 10 15 Q Q
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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Transcribed Image Text:**Objective:**
Graph the constant-profit lines for the objective function \( P = x + y \) through \( (2,2) \) and also through \( (4,4) \). Use a straightedge to identify the corner point where the maximum profit occurs. Confirm your answer by constructing a corner point table.
**Graph Analysis:**
The graph on the left shows a shaded feasible region labeled as "S" on the coordinate plane. It is bound by points:
- \( (0, 12) \)
- \( (4, 10) \)
- \( (9, 0) \)
- \( (0, 0) \)
Two key points marked on the graph are \( (2, 2) \) and \( (4, 4) \), where the constant-profit lines of the objective function intersect the feasible region.
**Question:**
Which graph below has the correct constant-profit lines?
**Options:**
- **A.** Displays lines intersecting at critical points directly through the shaded feasible region.
- **B.** Shows dashed lines that do not align correctly through critical intersection points.
- **C.** Displays lines that intersect correctly, similar to option A.
- **D.** Shows lines that are off-position compared to the critical points.
The reader is tasked with selecting which option (A, B, C, or D) correctly represents the constant-profit lines for maximizing the objective function.
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