Math  /  Geometry

QuestionAn objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c.
Objective Function z=3x2yz=3 x-2 y Constraints {3x7y2xy4\left\{\begin{array}{l} 3 \leq x \leq 7 \\ y \geq 2 \\ x-y \geq-4 \end{array}\right. b. Find the value of the objective function at each corner of the graphed region. \square (Use a comma to separate answers as needed.)

Studdy Solution
List the values of the objective function for each vertex:
- At (3,2) (3, 2) : z=5 z = 5 - At (3,7) (3, 7) : z=5 z = -5 - At (7,2) (7, 2) : z=17 z = 17 - At (7,11) (7, 11) : z=1 z = -1
The values of the objective function at each corner are: 5,5,17,1 5, -5, 17, -1 .

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