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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...
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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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