In Problems 41-48, convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is feasible. x 1 + 3 x 2 ≤ 18 5 x 1 + 4 x 2 ≤ 35 x 1 , x 2 ≥ 0
In Problems 41-48, convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is feasible. x 1 + 3 x 2 ≤ 18 5 x 1 + 4 x 2 ≤ 35 x 1 , x 2 ≥ 0
Solution Summary: The author explains how to determine the e-system using slack variables for the given isystem.
In Problems 41-48, convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is feasible.
A product is made by only two competing companies. Suppose Company X retains two-thirds of its customers and loses one-third to Company Y each year, and Company Y retains three-quarters of its customers and loses
one-quarter to Company X each year. We can represent the number of customers each company had last year by
D
where xo is the number Company X had and yo is the number Company Y had. Then the number that each will have this year can be represented by
3
If Company X has 2900 customers and Company Y has 2500 customers this year, how many customers did each have last year?
Company X
Company Y
Need Help?
Read It
customers
customers
The partially completed table below shows the ten basic
solutions to the following e-system.
The basic variable(s) in basic solution (D) is/are
(Use a comma to separate answers as needed.)
X, +X2 +S,
= 25
3x, +X2
+S2
= 33
5x, +X2
+S3 = 45
In basic solution (D), which variables are basic?
X1
X2
82
$3
(A)
(B)
(C)
(D)
(E)
(F)
(G)
(H)
(1)
(J)
25
33
45
25
8
20
33
-8
12
45
- 20
- 12
- 80
- 10
25
- 42
11
14
The Phony TV company makes two different types of television sets,
OLED and LED, which are assembled by two different assembly lines.
When Line One operates it assembles 30 units of the OLED model
and 50 units of the LED model per hour. Line Two assembles 40 units
of the OLED model and 40 units of the LED model per hour. Let x
be the number of hours that Line One operates and y the number of
hours Line Two operates. Phony needs to produce at least 3000 units
of the OLED model and 4000 units of the LED model to fill an order.
(a) Write down the inequalities that describe the assembly constraints.
(b) Graph the feasible region determined by these constraints.
Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY