QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
# Exercise 7.4
Solve the following problems:
## Objective <br> Constrain
1. Maximize $z= 0.8 x- 0.5 y$
$x-y \geq- 2$
$2 x-y \leq 4$
$2 x+y \leq 8$
$x, y \geq 0$
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Answer
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Step 1: Graph the constraints and identify the feasible region.
First, let's rewrite the constraints in slope-intercept form to graph them:
Step 2$y \geq x + 2$
2. $y \leq 2x - 4$
Final Answer
The maximum value of the objective function is 1.6, which occurs at the point $(2, 0)$.
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