Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Operation Research Expert

Interpret the output of a linear programming model - LINDO

1. The linear programming problem whose output follows is used to determine how many bottles of fire red nail polish (x1), bright red
nail polish (x2), basic green nail polish (x3), and basic pink nail polish (x4) a beauty salon should stock. The objective function
measures profit; it is assumed that every piece stocked will be sold. Constraint 1 measures display space in units. Constraint 2
measures time to set up the display in minutes. Note that green nail polish does not require any time to prepare its display.
Constraints 3 and 4 are marketing restrictions. Constraint 3 indicates that the maximum demand for fire red and bright red polish is
25 bottles, while constraint 4 specifies that the minimum demand combined for bright red, green, and pink nail polish bottles is at
least 50 bottles.
MAX 100x1 + 120x2 + 150x3 + 125x4
Subject to: 1. x1 + 2x2 + 2x3 + 2x4 <= 108
2. 3x1 + 5x2 + x4 <= 120
3. x1 + x2 <= 25
4. x2 + x3 + x4 >= 50
x1, x2 , x3, x4 >= 0
Optimal Solution:
Objective Function Value = 7475.000
Variable Value Reduced Costs
X1 8 0
X2 0 5
X3 17 0
X4 33 0
Constraint Slack / Surplus Dual Prices
1 0 75
2 63 0
3 0 25
4 0 -25
Objective Coefficient Ranges
Variable Lower Limit Current Value Upper Limit
X1 87.5 100 none
X2 none 120 125
X3 125 150 162
X4 120 125 150
Right Hand Side Ranges
Constraint Lower Limit Current Value Upper Limit
1 100 108 123.75
2 57 120 none
3 8 25 58
4 41.5 50 54
What is the lowest value for the amount of time available to setup the display before the solution (product mix) would change?

2. The linear programming problem whose output follows is used to determine how many bottles of fire red nail polish (x1), bright red nail polish (x2), basil green nail polish (x3), and basic pink nail polish (x4) a beauty salon should stock. The objective function measures profit; it is assumed that every piece stocked will be sold. Constraint 1 measures display space in units. Constraint 2
measures time to set up the display in minutes. Note that green nail polish does not require any time to prepare its display.
Constraints 3 and 4 are marketing restrictions. Constraint 3 indicates that the maximum demand for fire red and green polish is 25 bottles, while constraint 4 specifies that the minimum demand combined for bright red, green, and pink nail polish bottles is at least
50 bottles.
MAX 100x1 + 120x2 + 150x3 + 125x4
Subject to: 1. x1 + 2x2 + 2x3 + 2x4 <= 108
2. 3x1 + 5x2 + x4 <= 120
3. x1 + x2 <= 25
4. x2 + x3 + x4 >= 50
x1, x2 , x3, x4 >= 0
Optimal Solution:
Objective Function Value = 7475.000
Variable Value Reduced Costs
X1 8 0
X2 0 5
X3 17 0
X4 33 0
Constraint Slack / Surplus Dual Prices
1 0 75
2 63 0
3 0 25
4 0 -25
Objective Coefficient Ranges
Variable Lower Limit Current Value Upper Limit
X1 87.5 100 none
X2 none 120 125
X3 125 150 162
X4 120 125 150
Right Hand Side Ranges
Constraint Lower Limit Current Value Upper Limit
1 100 108 123.75
2 57 120 none
3 8 25 58
4 41.5 50 54
By how much can the per bottle profit on green basil nail polish increase before the solution (product mix) would change?

Operation Research, Management Studies

  • Category:- Operation Research
  • Reference No.:- M924892

Have any Question? 


Related Questions in Operation Research

Monitoring and evaluationinitial postings must be 250-350

Monitoring and Evaluation Initial postings must be 250-350 words (not including references). Effective health care organizations recognize the importance of monitoring the implementation of a strategy as well as ongoing ...

A 75-year-old female is an inpatient in bed 1 of room 10 on

A 75-year-old female is an inpatient in bed #1 of Room 10 on a medical telemetry unit. She has been admitted for pneumonia. She is slightly confused. No family is with her in the hospital at this time. The nurse introduc ...

Business models and consumer choices please respond to the

"Business Models and Consumer Choices" Please respond to the following: Debate It: Take a position on the following statement: Copyright laws protect rights of creative independent artists against a large corrupt music i ...

Short essays no required length1 discuss how occupational

Short essays (no required length) 1. Discuss how occupational safety and health laws and regulations are established, implemented and possibly altered. 2. Compare and contrast this with the establishment of environmental ...

A critical review on use of operations research for

A critical review on use of Operations Research for Decision Making

Directions the assignment focuses on your own understanding

DIRECTIONS The assignment focuses on your own understanding of the team's group project. Early in the conceptual phase of a new product, team members should begin to think about all of the things that need to be done to ...

Michael has decided to invest 40000 in three types of funds

Michael has decided to invest $40,000 in three types of funds. Fund A has projected an annual return of 8 percent, Fund B has projected an annual return of 10 percent, and Fund C has projected an annual return of 9 perce ...

The reading assignments in module 1 plus the lecture

The reading assignments in Module 1, plus the lecture, present an introductory framework for the project management office (PMO). Explain the key distinction between the PMO and project management. Respond to one of the ...

Question 1at the beginning of each day a patient in a

Question 1: At the beginning of each day, a patient in a hospital is classified into one of three conditions; good, fair, or critical. At the beginning of the next day, the patient will either continue to be in the hospi ...

In every organization inputs of some kind services

In every organization, inputs of some kind (services, information, and/or products) are transformed into outputs (services, information, and/or products) on an ongoing, continuous basis, which are of value to internal or ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen