Suppose P = 3x + 4y is the objective function (Profit function) in a linear programming (maximization) problem, where x is the number of units of product A and y is the number of units of product B. What does the coefficient of x represent? How about the coefficient of y?  Given the linear programming problem: x + y ≤ 3       Resource 1    and        2x + y ≤ 5     Resource 2   What is the linear inequality that represents “h” unit increase

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 8CQ
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  • Suppose P = 3x + 4y is the objective function (Profit function) in a linear programming (maximization) problem, where x is the number of units of product A and y is the number of units of product B.
  1. What does the coefficient of x represent? How about the coefficient of y? 
  2. Given the linear programming problem:

x + y ≤ 3       Resource 1    and       

2x + y ≤ 5     Resource 2

 

  1. What is the linear inequality that represents “h” unit increase in Resource 1? 
  2. Write the inequality that represents “k” units of increase in Resource 2. 

 

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