For the feasible set in the figure to the right, determine x and y so that the objective function 5x + 6y is maximized. x=.y- X= (0,15) (0,0) feasible set (15,0)
For the feasible set in the figure to the right, determine x and y so that the objective function 5x + 6y is maximized. x=.y- X= (0,15) (0,0) feasible set (15,0)
Chapter11: Conics
Section11.2: Parabolas
Problem 11.30TI: Graph x=y2+2y3 by using properties.
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![For the feasible set in the figure to the right, determine \( x \) and \( y \) so that the objective function \( 5x + 6y \) is maximized.
![Graph Illustration]
### Graph Explanation
In the graph, we have a triangle representing the feasible set. The triangle has the following vertices:
- \( (0, 0) \)
- \( (0, 15) \)
- \( (15, 0) \)
### Axes Description
- The \( x \)-axis is labeled \( x \).
- The vertical axis is labeled \( y \).
### Feasible Set
- The feasible set is the area enclosed by the triangle with coordinates \( (0, 0) \), \( (0, 15) \), and \( (15, 0) \).
- This region is highlighted and labeled "feasible set."
### Objective Function
The objective function given is \( 5x + 6y \).
### Goal
Determine the values of \( x \) and \( y \) within the feasible set that maximize the objective function.
### Solution Input
- \( x = \)
- \( y = \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8df1a74e-b29a-4337-9f07-a3244c840179%2Ff8fd820a-ca0d-46c3-a98f-d8e3f186ae11%2Fec3zocb_processed.png&w=3840&q=75)
Transcribed Image Text:For the feasible set in the figure to the right, determine \( x \) and \( y \) so that the objective function \( 5x + 6y \) is maximized.
![Graph Illustration]
### Graph Explanation
In the graph, we have a triangle representing the feasible set. The triangle has the following vertices:
- \( (0, 0) \)
- \( (0, 15) \)
- \( (15, 0) \)
### Axes Description
- The \( x \)-axis is labeled \( x \).
- The vertical axis is labeled \( y \).
### Feasible Set
- The feasible set is the area enclosed by the triangle with coordinates \( (0, 0) \), \( (0, 15) \), and \( (15, 0) \).
- This region is highlighted and labeled "feasible set."
### Objective Function
The objective function given is \( 5x + 6y \).
### Goal
Determine the values of \( x \) and \( y \) within the feasible set that maximize the objective function.
### Solution Input
- \( x = \)
- \( y = \)
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