A manufacturer produces two models of toy airplanes. It takes the manufacturer 5 minutes to assemble model A and 7 minutes to package it. It takes the manufacturer 6 minutes to assemble model B and 4 minutes to package it. In a given week, the total available time for assembling is 600 minutes, and the total available time for packaging is 560 minutes. Let x be the number of model A units produced. Let y be the number of model B units produced. Shade the region corresponding to all values of x and y that satisfy these requirements. 200- -160- 120- X
A manufacturer produces two models of toy airplanes. It takes the manufacturer 5 minutes to assemble model A and 7 minutes to package it. It takes the manufacturer 6 minutes to assemble model B and 4 minutes to package it. In a given week, the total available time for assembling is 600 minutes, and the total available time for packaging is 560 minutes. Let x be the number of model A units produced. Let y be the number of model B units produced. Shade the region corresponding to all values of x and y that satisfy these requirements. 200- -160- 120- X
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Problem Description
A manufacturer produces two models of toy airplanes. It takes the manufacturer 5 minutes to assemble model A and 7 minutes to package it. It takes the manufacturer 6 minutes to assemble model B and 4 minutes to package it. In a given week, the total available time for assembling is 600 minutes, and the total available time for packaging is 560 minutes. Let \( x \) be the number of model A units produced. Let \( y \) be the number of model B units produced. Shade the region corresponding to all values of \( x \) and \( y \) that satisfy these requirements.
### Graph Explanation
The graph provided is a coordinate plane with axes labeled as \( x \) and \( y \). The grid is marked with intervals of 40 units along both axes, up to 200 in both directions. The shaded region that should be marked will show the feasible solutions that meet the time constraints for assembling and packaging the two models of toy airplanes.
To solve, you need to form the inequalities based on the given constraints:
1. **Assembly Constraint:**
\[
5x + 6y \leq 600
\]
2. **Packaging Constraint:**
\[
7x + 4y \leq 560
\]
These inequalities represent the boundaries of the solution region on the graph. Plot these lines on the graph, and shade the region that satisfies both inequalities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2039606c-ddf8-4dfc-99c4-5a13e28c47b4%2F07774ac5-e42c-4ad8-bf1f-bb4b22d5160b%2Fgc9prr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
A manufacturer produces two models of toy airplanes. It takes the manufacturer 5 minutes to assemble model A and 7 minutes to package it. It takes the manufacturer 6 minutes to assemble model B and 4 minutes to package it. In a given week, the total available time for assembling is 600 minutes, and the total available time for packaging is 560 minutes. Let \( x \) be the number of model A units produced. Let \( y \) be the number of model B units produced. Shade the region corresponding to all values of \( x \) and \( y \) that satisfy these requirements.
### Graph Explanation
The graph provided is a coordinate plane with axes labeled as \( x \) and \( y \). The grid is marked with intervals of 40 units along both axes, up to 200 in both directions. The shaded region that should be marked will show the feasible solutions that meet the time constraints for assembling and packaging the two models of toy airplanes.
To solve, you need to form the inequalities based on the given constraints:
1. **Assembly Constraint:**
\[
5x + 6y \leq 600
\]
2. **Packaging Constraint:**
\[
7x + 4y \leq 560
\]
These inequalities represent the boundaries of the solution region on the graph. Plot these lines on the graph, and shade the region that satisfies both inequalities.
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