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Consider the following linear program. Max 24 + 38 s.t. SA + 58 S 380 Constraint 1 -1A + 18S 10 Constraint 2 1A + 38 290 A, B20 Constraint 3

Consider the following linear program. Max 24 + 38 s.t. SA + 58 S 380 Constraint 1 -1A + 18S 10 Constraint 2 1A + 38 290 A, B20 Constraint 3

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 program. Max 2A + 38 s.t. 5A + 58 <380 Constraint 1 -14 + 18 S 10 1A + 38 290 A, B20 Constraint 2 Constraint 3 The figure shows a graph of the constraint lines. B 100- 80 60 40 20 20 40 60 (a) Place a number (1, 2, or 3) next to each constraint line to identify which constraint it represents. Select the correct graph. ( Shade inthe fessble reen. telet t ret 100 100 100 20 20 40 20
Transcribed Image Text:Consider the following linear program. Max 2A + 38 s.t. 5A + 58 <380 Constraint 1 -14 + 18 S 10 1A + 38 290 A, B20 Constraint 2 Constraint 3 The figure shows a graph of the constraint lines. B 100- 80 60 40 20 20 40 60 (a) Place a number (1, 2, or 3) next to each constraint line to identify which constraint it represents. Select the correct graph. ( Shade inthe fessble reen. telet t ret 100 100 100 20 20 40 20
(c) Identify the optimal extreme point. What is the optimal solution? (A, B) = (d) Which constraints are binding? Explain. The optimal solution occurs at the intersection of constraints -Select-- v so these are the binding constraints. (e) How much slack or surplus is associated with the nonbinding constraint? Constraint ?v is the nonbinding constraint. There is a -Select-- v o [ | associated with this constraint.
Transcribed Image Text:(c) Identify the optimal extreme point. What is the optimal solution? (A, B) = (d) Which constraints are binding? Explain. The optimal solution occurs at the intersection of constraints -Select-- v so these are the binding constraints. (e) How much slack or surplus is associated with the nonbinding constraint? Constraint ?v is the nonbinding constraint. There is a -Select-- v o [ | associated with this constraint.
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