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. EnterUNBOUNDED if the function is unbounded.)Maximize p = x + y subject tox + 2y 2 202x + 2y ≤ 202x + y 2 20x ≥ 0, y ≥ 0.p == (L(x, y) =

We have given constraints as x+2y≥20 (1) 2x+2y≤20 (2) 2x+y≥20 (3) With x≥0 and…

Answered: Solve the LP problem. If no optimal…

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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Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)Maximize and minimize p = x + 2y subject to x + y ≥ 6 x + y ≤ 10 x − y ≤ 6 x − y ≥ −6.
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED If the function is unbounded.) Minimize cx-6y subject to C- (x, y) = 3x + y 25 2x-y 20 x-3y ≤0 x20, y 20
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = x + 2y subject to x + 5y ≤ 23 4x + y ≤ 16 x ≥ 0, y ≥ 0. p=(x, y) =
You choose how much time a day to devote to sleeping (s) and fun (f). Suppose you get utility, which you seek to maximise. However, you face two major restrictions: there are only 24 hours in a day, and you read somewhere that it is essential to get at least 3.50 hours of sleep every day. In the case where both inequality constraints hold with strict equality, what is the value of the multiplier attached to the second constraint? (Round to two decimal places.) Your Answer: Answer
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = 3x + 2y subject to 0.3x + 0.3y ≥ 0.6 y ≤ 8 x ≥ 0, y ≥ 0. 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. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = 3x + 4y subject to −5x + y ≥ 9 x + 3y ≤ 11 x ≥ 0, y ≥ 0. 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. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = x + 2y subject to x + 6y ≤ 21 4x + y ≤ 15 x ≥ 0, y ≥ 0. p= (x, y) =
Example 12.14. Find an optimal solution to the following L.P.P. be computing all basic solutions and then finding one that maximizes the objective function : == 2x₂ + 3x₂-x3 + 4x4 = 8,x₁ - 2x₂ + 6x3-7x4 Max. Z = 2x₂ + 3x₂ + 4x3 + 7x4 Xp X X3 X4 ≥ 0, 9

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