Consider the following equation Maximize 10 x 1 6 x 2 3 x 3 Subject to 1 x 1 1 x 2 2 x 3 25 2x 1 1 x 2 4x 3 40 1x 1 2 x 2 3 x 3 40 x 1 , x 2 , x 3 0 a Find the range of feasibility for each constraint, and interpret your answers Range of Feasibility Constraint 1 (Click to select) 20 to 26 6667 5 to 10 35 to 50 35 to infinity 6 to 12 Infinity to 20 Constraint 2 (Click to select) Infinity to 20 35 to infinity 35 to 50 6 to 12 20 to 26 6667 5 to 10 Constraint 3 (Click to select) 35 to infinity Infinity to 20 20 to 26 6667 35 to 50 5 to 10 6 to 12 b Determine the range of optimality for each coefficient of the objective function Interpret your results Range of Optimality Variable 1 ( x 1 ) (Click to select) 20 to 26 6667 Infinity to 20 6 to 12 35 to infinity 35 to 50 5 to 10 Variable 2 ( x 2 ) (Click to select) 35 to 50 5 to 10 6 to 12 35 to infinity Infinity to 20 20 to 26 6667 Variable 3 ( x 3 ) (Click to select) 5 to 10 20 to 26 6667 35 to infinity 35 to 50 6 to 12 Infinity to 20

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Question: Consider the following equation: Maximize 10 x 1 + 6 x 2 + 3 x 3 Subject to 1 x 1 + 1 x 2

Consider the following equation:

Maximize		10x₁ + 6x₂ + 3x₃
Subject to

a. Find the range of feasibility for each constraint, and interpret your answers.

	Range of Feasibility
Constraint 1	(Click to select) 20 to 26.6667 5 to 10 35 to 50 35 to infinity 6 to 12 -Infinity to 20
Constraint 2	(Click to select) -Infinity to 20 35 to infinity 35 to 50 6 to 12 20 to 26.6667 5 to 10
Constraint 3	(Click to select) 35 to infinity -Infinity to 20 20 to 26.6667 35 to 50 5 to 10 6 to 12

b. Determine the range of optimality for each coefficient of the objective function. Interpret your results.

	Range of Optimality
Variable 1 (x₁):	(Click to select) 20 to 26.6667 -Infinity to 20 6 to 12 35 to infinity 35 to 50 5 to 10
Variable 2 (x₂):	(Click to select) 35 to 50 5 to 10 6 to 12 35 to infinity -Infinity to 20 20 to 26.6667
Variable 3 (x₃):	(Click to select) 5 to 10 20 to 26.6667 35 to infinity 35 to 50 6 to 12 -Infinity to 20

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