Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize and minimize p = x + 2y subject to x + y ≥ 2 x + y ≤ 6 x − y ≤ 2 x − y ≥ −2. Minimum: p = (x, y) = Maximum: p = (x, y) =
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize and minimize p = x + 2y subject to x + y ≥ 2 x + y ≤ 6 x − y ≤ 2 x − y ≥ −2. Minimum: p = (x, y) = Maximum: p = (x, y) =
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 40E
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Question
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)
Maximize and minimize p = x + 2y subject to
| x | + | y | ≥ | 2 |
| x | + | y | ≤ | 6 |
| x | − | y | ≤ | 2 |
| x | − | y | ≥ |
−2.
|
Minimum:
| p = | |||
| (x, y) = |
|
Maximum:
| p = | |||
| (x, y) = |
|
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