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Consider the following linear programming problem. 2A + 3B Min s.t. 1A + 4B ≤21 2A + 1827 3A + 1.5B ≤21 -2A + 6B20 A, B 20 (a) Find the optimal solution using the graphical solution procedure and the value of the objective function. ([ at (A, B) = (b) Determine the amount of slack or surplus for each constraint. slack for 1A + 4B ≤ 21 surplus for 2A + 18 2 7 slack for 3A + 1.5B ≤ 21 surplus for -2A + 6B 20 (c) Suppose the objective function is changed to max 8A + 3B. Find the optimal solution and the value of the objective function. at (A, B) =

Consider the following linear programming problem. 2A + 3B Min s.t. 1A + 4B ≤21 2A + 1827 3A + 1.5B ≤21 -2A + 6B20 A, B 20 (a) Find the optimal solution using the graphical solution procedure and the value of the objective function. ([ at (A, B) = (b) Determine the amount of slack or surplus for each constraint. slack for 1A + 4B ≤ 21 surplus for 2A + 18 2 7 slack for 3A + 1.5B ≤ 21 surplus for -2A + 6B 20 (c) Suppose the objective function is changed to max 8A + 3B. Find the optimal solution and the value of the objective function. at (A, B) =

Advanced Engineering Mathematics
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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Consider the following linear programming problem. 2A + 3B Min s.t. 1A + 4B ≤ 21 2A + 1B27 3A + 1.5B ≤21 -2A + 6B 20 A, B ≥ 0 (a) Find the optimal solution using the graphical solution procedure and the value of the objective function. at (A, B) = (b) Determine the amount of slack or surplus for each constraint. slack for 1A + 4B ≤ 21 surplus for 2A + 1B ≥ 7 slack for 3A + 1.5B ≤ 21 surplus for -2A + 6B ≥ 0 (c) Suppose the objective function is changed to max 8A + 3B. Find the optimal solution and the value of the objective function. =([ at (A, B) =
Transcribed Image Text:Consider the following linear programming problem. 2A + 3B Min s.t. 1A + 4B ≤ 21 2A + 1B27 3A + 1.5B ≤21 -2A + 6B 20 A, B ≥ 0 (a) Find the optimal solution using the graphical solution procedure and the value of the objective function. at (A, B) = (b) Determine the amount of slack or surplus for each constraint. slack for 1A + 4B ≤ 21 surplus for 2A + 1B ≥ 7 slack for 3A + 1.5B ≤ 21 surplus for -2A + 6B ≥ 0 (c) Suppose the objective function is changed to max 8A + 3B. Find the optimal solution and the value of the objective function. =([ at (A, B) =
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