The Linear Programming Problem

question 18

Essay

The linear programming problem:
Max
6x₁ + 2x₂ + 3x₃ + 4x₄
s.t.
x₁ + x₂ + x₃ + x₄ ≤ 100
4x₁ + x₂ + x₃ + x₄ ≤ 160
3x₁ + x₂ + 2x₃ + 3x₄ ≤ 240
x₁, x₂, x ₃, x₄ ≥ 0
​
has the final tableau: ​
Fill in the table below to show what you would have found if you had used The Management Scientist to solve this problem.
LINEAR PROGRAMMING PROBLEM
MAX
6X1+2X2+3X3+4X4
S.T.
1) 1X1 + 1X2 + 1X3 + 1X4 < 100
2) 4X1 + 1X2 + 1X3 + 1X4 < 160
3) 3X1 + 1X2 + 2X3 + 3X4 < 240
​
OPTIMAL SOLUTION
Objective Function Value = ​ ​
OBJECTIVE COEFFICIENT RANGES ​
RIGHT HAND SIDE RANGES

---

Definitions:

Limited Time

A specific period which is restricted or short in duration, often used to highlight the availability of an offer or opportunity.

Speaking Via

The act of communicating or conveying information through a particular medium or channel.

Voice Messages

Audio recordings sent and received between individuals or groups through electronic devices as a form of communication.

One Week

A period of time consisting of seven consecutive days.