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?
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?
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...
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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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