A tarmer can buy two types of plant food, mix Aand mix B. Each cubic yard of mix A contains 28 pounds of phosphoric acid, 27 pounds of nitrogen, and 6 pounds of potash. Each cubic yard of mix B contains 7 pounds of phosphoric acid, 27 pounds of nitrogen, and 18 pounds of potash. The minimum monthly requirements are 420 pounds of phosphoric acid, 810 pounds of nitrogen, and 270 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used 6x+18y 2 270 Are any other inequalities needed? O A. Yes, x2 y B. Yes, x20 and yz0 OC. Yes, xs0 and ys0 OD. No Use the graphing tool to graph the system. Graph the region that represents the correct solution only once.
A tarmer can buy two types of plant food, mix Aand mix B. Each cubic yard of mix A contains 28 pounds of phosphoric acid, 27 pounds of nitrogen, and 6 pounds of potash. Each cubic yard of mix B contains 7 pounds of phosphoric acid, 27 pounds of nitrogen, and 18 pounds of potash. The minimum monthly requirements are 420 pounds of phosphoric acid, 810 pounds of nitrogen, and 270 pounds of potash. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used 6x+18y 2 270 Are any other inequalities needed? O A. Yes, x2 y B. Yes, x20 and yz0 OC. Yes, xs0 and ys0 OD. 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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I completely understandable the first parts of the homework but this graph is confusing me, if you could show step by step it would mean a lot! Thanks !
![### Life Sci 5.2.47
**Problem Statement:**
A farmer can buy two types of plant food, mix A and mix B.
- Each cubic yard of mix A contains:
- 28 pounds of phosphoric acid
- 27 pounds of nitrogen
- 6 pounds of potash
- Each cubic yard of mix B contains:
- 7 pounds of phosphoric acid
- 27 pounds of nitrogen
- 18 pounds of potash
**Minimum monthly requirements:**
- 420 pounds of phosphoric acid
- 810 pounds of nitrogen
- 270 pounds of potash
**Task:**
Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.
- **Inequality:**
\[
6x + 18y \geq 270
\]
**Are any other inequalities needed?**
- A. Yes, \(x, z \geq y\)
- B. Yes, \(x, z \geq 0\)
- C. Yes, \(x \leq 0\) and \(y \leq 0\)
- D. No
**Graphing Instructions:**
Use the provided graphing tool to create the system graph. Graph the region that represents the correct solution only once. Click the graph, choose a tool in the palette, and follow the instructions to create your graph.
**Graph Description:**
The graph provided is a grid with an x and y-axis, ranging from 0 to 70 on both axes. This graph is used to plot the feasible region of solutions based on the given inequalities.
**Note:**
Ensure all parts of the instruction are followed for an accurate representation of feasible solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b8c2f98-90c6-488a-b769-165d044a7474%2Fc7a03c86-7925-4a98-9250-ee7e59afc34e%2Fohl7jcm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Life Sci 5.2.47
**Problem Statement:**
A farmer can buy two types of plant food, mix A and mix B.
- Each cubic yard of mix A contains:
- 28 pounds of phosphoric acid
- 27 pounds of nitrogen
- 6 pounds of potash
- Each cubic yard of mix B contains:
- 7 pounds of phosphoric acid
- 27 pounds of nitrogen
- 18 pounds of potash
**Minimum monthly requirements:**
- 420 pounds of phosphoric acid
- 810 pounds of nitrogen
- 270 pounds of potash
**Task:**
Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.
- **Inequality:**
\[
6x + 18y \geq 270
\]
**Are any other inequalities needed?**
- A. Yes, \(x, z \geq y\)
- B. Yes, \(x, z \geq 0\)
- C. Yes, \(x \leq 0\) and \(y \leq 0\)
- D. No
**Graphing Instructions:**
Use the provided graphing tool to create the system graph. Graph the region that represents the correct solution only once. Click the graph, choose a tool in the palette, and follow the instructions to create your graph.
**Graph Description:**
The graph provided is a grid with an x and y-axis, ranging from 0 to 70 on both axes. This graph is used to plot the feasible region of solutions based on the given inequalities.
**Note:**
Ensure all parts of the instruction are followed for an accurate representation of feasible solutions.
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