I. Find the minimum and maximum values of the objective function and where they occur, subject to the indicated constraints. (graph provided) 1.) Objective function z= 3x + 2y Constraints x2 0, y 2 0, 3x + 2y s 6, x + 2y s 8 (0, 4) C В(2, 3) 3 2 A(4, 0) (0, 0) 1 2 4 x+2y=8 3r + 2y = 12 II. a) Sketch the feasible region determined by the constraints. b) Determine the value of x and y that produce the maximum or minimum value of the objective factor on the feasible region. c) Determine the maximum or minimum value of the objective function on the feasible region. 2.) Objective function: z = 4x + 5y Constraints: x 2 0, y 2 0, x + y 2 8, 3x + 5y 2 30 y 10 7 6 5 4 3 2 1 0 1 2 3 4 5 7 8 9 10
I. Find the minimum and maximum values of the objective function and where they occur, subject to the indicated constraints. (graph provided) 1.) Objective function z= 3x + 2y Constraints x2 0, y 2 0, 3x + 2y s 6, x + 2y s 8 (0, 4) C В(2, 3) 3 2 A(4, 0) (0, 0) 1 2 4 x+2y=8 3r + 2y = 12 II. a) Sketch the feasible region determined by the constraints. b) Determine the value of x and y that produce the maximum or minimum value of the objective factor on the feasible region. c) Determine the maximum or minimum value of the objective function on the feasible region. 2.) Objective function: z = 4x + 5y Constraints: x 2 0, y 2 0, x + y 2 8, 3x + 5y 2 30 y 10 7 6 5 4 3 2 1 0 1 2 3 4 5 7 8 9 10
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...
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Transcribed Image Text:I. Find the minimum and maximum values of the objective function and where they occur, subject to
the indicated constraints. (graph provided)
1.) Objective function
z = 3x + 2y
Constraints
x2 0, y 2 0, 3x + 2y < 6, x + 2y s 8
(0, 4) CA
В(2, 3)
3
2
A(4, 0)
X'+
(0, 0)
1 2
6
7
4
x+2y=8
3x + 2y = 12
II. a) Sketch the feasible region determined by the constraints.
b) Determine the value of x and y that produce the maximum or minimum value of the objective
factor on the feasible region.
c) Determine the maximum or minimum value of the objective function on the feasible region.
2.) Objective function: z = 4x + 5y
Constraints: x 2 0, y 2 0, x + y 2 8, 3x + 5y 2 30
y
10
7
6
5
4
3
2
1
0-
Ó 1 2
3 4
5
7
8 9 10
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