2. Objective function: Constraints: z = 4x + 5y C 20 2x + 3y 2 6 3x y ≤ 9 x + 4y ≤ 16 (a) Graph the constraints in Desmos. What are the relevant corner points? (b) The maximum is. (c) The minimum is and occurs at and occurs at

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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Please solve #2
1. Objective function:
Constraints:
0
y ≥
y ≥ 5
5x +
x + 3y < 15
4x +
y 16
(a) Graph the constraints in Desmos. What are the relevant corner points?
(b) The maximum is
(c) The minimum is
2. Objective function:
Constraints:
z = 2x + 5y
(b) The maximum is
(c) The minimum is
and occurs at
and occurs at
z = 4x + 5y
0
6
y ≤ 9
X + 4y 16
(a) Graph the constraints in Desmos. What are the relevant corner points?
t>
2x + 3y >
3x
and occurs at
and occurs at
Transcribed Image Text:1. Objective function: Constraints: 0 y ≥ y ≥ 5 5x + x + 3y < 15 4x + y 16 (a) Graph the constraints in Desmos. What are the relevant corner points? (b) The maximum is (c) The minimum is 2. Objective function: Constraints: z = 2x + 5y (b) The maximum is (c) The minimum is and occurs at and occurs at z = 4x + 5y 0 6 y ≤ 9 X + 4y 16 (a) Graph the constraints in Desmos. What are the relevant corner points? t> 2x + 3y > 3x and occurs at and occurs at
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