Maximize R = 2x + 3y Subject to: 2x – y <= 10 (constraint 1) x + 3y <= 6 (constraint 2) x,y ≥ 0 1. Does the graph of constraint 1 pass through (0,0)? 2. Does the graph of constraint 2 pass through (1,1)? 3. How many corner points can be identified from the graph of LP model? 4. What values of x and y will maximize R? 5. What is the maximized value of R?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Maximize R = 2x + 3y

Subject to:
2x – y <= 10 (constraint 1)
x + 3y <= 6 (constraint 2)
x,y ≥ 0

1. Does the graph of constraint 1 pass through (0,0)?

2. Does the graph of constraint 2 pass through (1,1)?

3. How many corner points can be identified from the graph of LP model?

4. What values of x and y will maximize R?

5. What is the maximized value of R?

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