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Find the maximum value of the function = = 2x+2y subject to the following constraints. 7x+8y < 88 2x+y<20 x20 y20

Find the maximum value of the function = = 2x+2y subject to the following constraints. 7x+8y < 88 2x+y<20 x20 y20

Algebra and Trigonometry (6th Edition)
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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**Objective**: Find the maximum value of the function \( z = 2x + 2y \) subject to the following constraints: **Constraints**: 1. \( 7x + 8y \leq 88 \) 2. \( 2x + y \leq 20 \) 3. \( x \geq 0 \) 4. \( y \geq 0 \) **Note**: The ALEKS graphing calculator can be used to make computations easier. The constraints form a feasible region on the coordinate plane, often a polygon, and the maximum value of the function generally occurs at a vertex of this region.
Transcribed Image Text:**Objective**: Find the maximum value of the function \( z = 2x + 2y \) subject to the following constraints: **Constraints**: 1. \( 7x + 8y \leq 88 \) 2. \( 2x + y \leq 20 \) 3. \( x \geq 0 \) 4. \( y \geq 0 \) **Note**: The ALEKS graphing calculator can be used to make computations easier. The constraints form a feasible region on the coordinate plane, often a polygon, and the maximum value of the function generally occurs at a vertex of this region.
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