Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent the number of llamas.) A rancher raises goats and llamas on his 400-acre ranch. Each goat needs 2 acres of land and requires $60 of veterinary care per year, while each llama needs 5 acres of land and requires $48 of veterinary care per year. If the rancher can afford no more than $7,920 for veterinary care this year, how many of each animal can he raise? (land requirements) (veterinary care) x 2 0, y 2 0

Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent the number of llamas.) A rancher raises goats and llamas on his 400-acre ranch. Each goat needs 2 acres of land and requires $60 of veterinary care per year, while each llama needs 5 acres of land and requires $48 of veterinary care per year. If the rancher can afford no more than $7,920 for veterinary care this year, how many of each animal can he raise? (land requirements) (veterinary care) x 2 0, y 2 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

5h all one question

**Transcription for Educational Website** **Problem Statement:** Formulate the situation as a system of inequalities. (Let \( x \) represent the number of goats the farmer can raise and \( y \) represent the number of llamas.) A rancher raises goats and llamas on his 400-acre ranch. Each goat needs 2 acres of land and requires $60 of veterinary care per year, while each llama needs 5 acres of land and requires $48 of veterinary care per year. If the rancher can afford no more than $7,920 for veterinary care this year, how many of each animal can he raise? **Inequalities:** 1. **Land Requirements:** \[ 2x + 5y \leq 400 \] 2. **Veterinary Care:** \[ 60x + 48y \leq 7920 \] 3. **Non-Negative Constraints:** \[ x \geq 0, \quad y \geq 0 \] **Graph Explanation:** - The graph is a Cartesian plane where each axis likely represents the number of goats and llamas. - There is a grid that allows for plotting the inequalities to determine the feasible region. - Feasible region: The area on the graph where all inequalities overlap, representing all possible combinations of goats and llamas that meet the land and veterinary care constraints. **Graph Tools:** - On the left, there are various tools to draw, move, and adjust the graph. - The "No Solution" button likely indicates if a feasible region cannot be established under the given constraints. - A legend or guide is necessary to interpret the values effectively when plotting and analyzing this kind of problem.
Transcribed Image Text:**Transcription for Educational Website** **Problem Statement:** Formulate the situation as a system of inequalities. (Let \( x \) represent the number of goats the farmer can raise and \( y \) represent the number of llamas.) A rancher raises goats and llamas on his 400-acre ranch. Each goat needs 2 acres of land and requires $60 of veterinary care per year, while each llama needs 5 acres of land and requires $48 of veterinary care per year. If the rancher can afford no more than $7,920 for veterinary care this year, how many of each animal can he raise? **Inequalities:** 1. **Land Requirements:** \[ 2x + 5y \leq 400 \] 2. **Veterinary Care:** \[ 60x + 48y \leq 7920 \] 3. **Non-Negative Constraints:** \[ x \geq 0, \quad y \geq 0 \] **Graph Explanation:** - The graph is a Cartesian plane where each axis likely represents the number of goats and llamas. - There is a grid that allows for plotting the inequalities to determine the feasible region. - Feasible region: The area on the graph where all inequalities overlap, representing all possible combinations of goats and llamas that meet the land and veterinary care constraints. **Graph Tools:** - On the left, there are various tools to draw, move, and adjust the graph. - The "No Solution" button likely indicates if a feasible region cannot be established under the given constraints. - A legend or guide is necessary to interpret the values effectively when plotting and analyzing this kind of problem.
The image is a screenshot of a graphing tool from WebAssign. It features a grid with axes labeled from 0 to 200 on both the x-axis and y-axis. The grid includes evenly spaced horizontal and vertical lines for easy plotting. Below the graph, there is an instruction: "Find the vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)" Four input fields are provided to fill in the coordinates of these vertices: 1. \( (x, y) = ( \_\_\_ , \_\_\_ ) \) 2. \( (x, y) = ( \_\_\_ , \_\_\_ ) \) 3. \( (x, y) = ( \_\_\_ , \_\_\_ ) \) 4. \( (x, y) = ( \_\_\_ , \_\_\_ ) \) Additional Materials section appears beneath the input fields, likely offering more resources or context.
Transcribed Image Text:The image is a screenshot of a graphing tool from WebAssign. It features a grid with axes labeled from 0 to 200 on both the x-axis and y-axis. The grid includes evenly spaced horizontal and vertical lines for easy plotting. Below the graph, there is an instruction: "Find the vertices. (Order your answers from smallest to largest x, then from smallest to largest y.)" Four input fields are provided to fill in the coordinates of these vertices: 1. \( (x, y) = ( \_\_\_ , \_\_\_ ) \) 2. \( (x, y) = ( \_\_\_ , \_\_\_ ) \) 3. \( (x, y) = ( \_\_\_ , \_\_\_ ) \) 4. \( (x, y) = ( \_\_\_ , \_\_\_ ) \) Additional Materials section appears beneath the input fields, likely offering more resources or context.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS