Consider the following linear program and answer the answer the following questions. Max 1A + 2B s.t.
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Consider the following linear program and answer the answer the following questions.
Max 1A + 2B | |||
s.t. | |||
1A | ≤ | 6 | |
1B | ≤ | 5 | |
2A + 2B | = | 14 | |
A, B ≥ 0 |
(a)
Show the feasible region.
The A B-coordinate plane is given.
- A line segment begins at the point (2, 5), goes down and right, and ends at the point (6, 1).
- The region is above the line segment, to the left of A = 6, and below B = 5.
The A B-coordinate plane is given. A line segment begins at the point (2, 5), goes down and right, and ends at the point (6, 1).
The A B-coordinate plane is given.
- A line segment begins at the point (2, 5), goes down and right, and ends at the point (6, 1).
- The region is below the line segment, to the left of A = 6, below B = 5, above the horizontal axis, and right of the vertical axis.
The A B-coordinate plane is given.
- A line segment begins at the point (2, 5), goes down and right, and ends at the point (6, 1).
- The region is to the left of A = 6, below B = 5, above the horizontal axis, and right of the vertical axis.
(b)
What are the extreme points of the feasible region?
smaller x-value
(A, B)
=
larger x-value
(A, B)
=
(c)
Find the optimal solution using the graphical procedure.
(A, B) =
Related Book For
Quantitative Methods for Business
ISBN: 978-0324651751
11th Edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey cam
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