Question

Use the graphical method to find the solution to the following: 1. a. Max Z = 30x + 15y s.t. 2x + y ? 20 x ? 7 x - y ? 10 x ? 0, y ? 0 b. Min Z = 2x + 5y s.t. x + y ? 2 x ? 5 y ? 4 x ? 0, y ? 0 c. Min Z = 10x1 + 7x2 s.t. 5x1 + 6x2 ? 420 x1 ? 60 x2 ? 45 x1, x2 ? 0 d. Max Z = 2x + 5y s.t. 3x - 2y ? 6 5x - 4y ? 8 x ? y x ? 0, y ? 0

          Use the graphical method to find the solution to the following:
1.
a. Max Z = 30x + 15y
s.t.
2x + y ? 20
x ? 7
x - y ? 10
x ? 0, y ? 0
b. Min Z = 2x + 5y
s.t.
x + y ? 2
x ? 5
y ? 4
x ? 0, y ? 0
c. Min Z = 10x1 + 7x2
s.t.
5x1 + 6x2 ? 420
x1 ? 60
x2 ? 45
x1, x2 ? 0
d. Max Z = 2x + 5y
s.t.
3x - 2y ? 6
5x - 4y ? 8
x ? y
x ? 0, y ? 0

Use the graphical method to find the solution to the following:
1.
a. Max Z = 30x + 15y
s.t.
2x + y ? 20
x ? 7
x - y ? 10
x ? 0, y ? 0
b. Min Z = 2x + 5y
s.t.
x + y ? 2
x ? 5
y ? 4
x ? 0, y ? 0
c. Min Z = 10x1 + 7x2
s.t.
5x1 + 6x2 ? 420
x1 ? 60
x2 ? 45
x1, x2 ? 0
d. Max Z = 2x + 5y
s.t.
3x - 2y ? 6
5x - 4y ? 8
x ? y
x ? 0, y ? 0

Added by Mark C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/13/2023

Step 1

First, we need to rewrite the given inequalities and objective functions in a more readable format: Objective function: $\text{Max } Z = 30x + 15y$ Constraints: $2x + y \leq 20$ $x \leq 7$ $r - y \leq 0$ $r \geq 0$ $y \leq 20$ Now, let's graph the constraints Show more…

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Use the graphical method to find the solution to the following: a. Max Z = 30x + 15y b. Min Z = 2x + 5y 2x + y ≤ 20 x ≤ 7 x - y ≤ 10 x ≥ 0, y ≥ 0 x + y ≥ 2 x ≤ 5 y ≤ 4 x ≥ 0, y ≥ 0 c. Min Z = 10x1 + 7x2 s.t. 5x1 + 6x2 ≤ 420 x1 ≤ 60 x2 ≤ 45 x1, x2 ≥ 0 d. Max Z = 2x + 5y s.t. 3x - 2y ≤ 6 5x - 4y ≤ 8 x ≥ y x ≥ 0, y ≥ 0