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 potashEach cubic yard of mix B contains:- 8 pounds of phosphoric acid- 30 pounds of nitrogen- 24 pounds of potashThe 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.

Let x be the number of cubic yards of mix A used and y be the number of cubic yards of mix B used.…

A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix Acontains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 8 pounds of potash. Each cubic yard of mix B contains 8 pounds of phosphoric acid, 30 pounds of nitrogen, and 24 pounds of potash. The minimum monthly requirements are 400 pounds of phosphoric acid, 900 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used. 8x+24y 2 360 Are any other inequalities needed? A. Yes, x20 and y20 B. Yes, x2y C. Yes, xs0 and ys0 O D. No Use the graphing tool to graph the system. Graph the region that represents the correct solution only once.

A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix Acontains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 8 pounds of potash. Each cubic yard of mix B contains 8 pounds of phosphoric acid, 30 pounds of nitrogen, and 24 pounds of potash. The minimum monthly requirements are 400 pounds of phosphoric acid, 900 pounds of nitrogen, and 360 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used. 8x+24y 2 360 Are any other inequalities needed? A. Yes, x20 and y20 B. Yes, x2y C. Yes, xs0 and ys0 O D. No Use the graphing tool to graph the system. Graph the region that represents the correct solution only once.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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.

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