Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Strictly homework not graded I have the answer for everything else, I just need help with the graph :)
![**Title: Feasible Solutions for Plant Food Mixtures**
**Problem Statement:**
A farmer can purchase two types of plant food: mix A and mix B. Each cubic yard of mix A contains:
- 20 pounds of phosphoric acid
- 30 pounds of nitrogen
- 8 pounds of potash
Each cubic yard of mix B contains:
- 8 pounds of phosphoric acid
- 30 pounds of nitrogen
- 24 pounds of potash
The minimum monthly requirements for the farmer are:
- 400 pounds of phosphoric acid
- 900 pounds of nitrogen
- 360 pounds of potash
**Objective:**
Determine the set of feasible solutions graphically for the amounts of mix A and mix B that can be used to meet these requirements.
**Inequalities Provided:**
\[ 8x + 24y \geq 360 \]
**Question:**
Are any other inequalities needed?
- A. Yes, \( x \geq 0 \) and \( y \geq 0 \)
- B. Yes, \( x \geq y \)
- C. Yes, \( x \leq 0 \) and \( y \leq 0 \)
- D. No
**Instructions for Graphing:**
Use the graphing tool to represent the system. Identify the region that represents the correct solution only once.
**Graph Explanation:**
The graph provided is a standard Cartesian plane with the x-axis and y-axis ranging from 0 to 60. The primary task is to graph the inequalities and determine where they overlap to find the feasible solution area. The constraints and boundaries formed by the inequalities will create a polygonal region representing all the possible combinations of mix A and mix B that meet the farmer's requirements.
**Note:**
Click on the graph, select a tool in the palette, and follow the instructions to create the graph. The toolbar provides interactive features to help visualize the inequalities and feasible regions.
**Progress Indicator:**
A horizontal progress bar indicating "All parts showing" ensures the completeness of the graphing task.](https://content.bartleby.com/qna-images/question/0b8c2f98-90c6-488a-b769-165d044a7474/94c12eb3-4db8-4b6d-a818-42418cb4af48/6msmm1_processed.jpeg)
Transcribed Image Text:**Title: Feasible Solutions for Plant Food Mixtures**
**Problem Statement:**
A farmer can purchase two types of plant food: mix A and mix B. Each cubic yard of mix A contains:
- 20 pounds of phosphoric acid
- 30 pounds of nitrogen
- 8 pounds of potash
Each cubic yard of mix B contains:
- 8 pounds of phosphoric acid
- 30 pounds of nitrogen
- 24 pounds of potash
The minimum monthly requirements for the farmer are:
- 400 pounds of phosphoric acid
- 900 pounds of nitrogen
- 360 pounds of potash
**Objective:**
Determine the set of feasible solutions graphically for the amounts of mix A and mix B that can be used to meet these requirements.
**Inequalities Provided:**
\[ 8x + 24y \geq 360 \]
**Question:**
Are any other inequalities needed?
- A. Yes, \( x \geq 0 \) and \( y \geq 0 \)
- B. Yes, \( x \geq y \)
- C. Yes, \( x \leq 0 \) and \( y \leq 0 \)
- D. No
**Instructions for Graphing:**
Use the graphing tool to represent the system. Identify the region that represents the correct solution only once.
**Graph Explanation:**
The graph provided is a standard Cartesian plane with the x-axis and y-axis ranging from 0 to 60. The primary task is to graph the inequalities and determine where they overlap to find the feasible solution area. The constraints and boundaries formed by the inequalities will create a polygonal region representing all the possible combinations of mix A and mix B that meet the farmer's requirements.
**Note:**
Click on the graph, select a tool in the palette, and follow the instructions to create the graph. The toolbar provides interactive features to help visualize the inequalities and feasible regions.
**Progress Indicator:**
A horizontal progress bar indicating "All parts showing" ensures the completeness of the graphing task.
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