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Given the Following Linear Program

question 1

Essay

Given the following linear program:
MAX 5x1 + 7x2
s.t.x1 < 6
2x1 + 3x2 < 19
x1 + x2 < 8
x1,x2 > 0
The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x1 = 5,x2 = 3,and z = 46. Given the following linear program: MAX 5x<sub>1</sub> + 7x<sub>2</sub> s.t.x<sub>1</sub> < 6 2x<sub>1</sub> + 3x<sub>2</sub> < 19 x<sub>1</sub> + x<sub>2</sub> < 8 x<sub>1</sub>,x<sub>2</sub> > 0 The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x<sub>1</sub> = 5,x<sub>2</sub> = 3,and z = 46.    a.Calculate the range of optimality for each objective function coefficient. b.Calculate the dual price for each resource.
a.Calculate the range of optimality for each objective function coefficient.
b.Calculate the dual price for each resource.

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Definitions:

Object Permanence

The realization in early childhood that entities persist even when they are out of sight, sound, or touch.

Cognitive Development

The process through which individuals acquire and evolve their learning, thinking, reasoning, and problem-solving capabilities from childhood through adulthood.

Emotional and Social Development

The process by which individuals learn to understand and manage emotions, establish and maintain relationships, and develop empathy and social skills.

Stages

Distinct phases or periods within a process of development or a sequence of events, often implying progression or growth.

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