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3 pages/≈825 words
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APA
Subject:
Mathematics & Economics
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Essay
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English (U.S.)
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Topic:

The Case Study Involving Julias Food Booth

Essay Instructions:

The paper in my opinion is complicated.. I put 3 pages, because it requires the Excel sheet too.. 
Case study is attached. 
Assignment 1. Linear Programming Case Study
Your instructor will assign a linear programming project for this assignment according to the following specifications.
It will be a problem with at least three (3) constraints and at least two (2) decision variables. The problem will be bounded and feasible. It will also have a single optimum solution (in other words, it won’t have alternate optimal solutions). The problem will also include a component that involves sensitivity analysis and the use of the shadow price.
You will be turning in two (2) deliverables, a short writeup of the project and the spreadsheet showing your work.
Writeup.
Your writeup should introduce your solution to the project by describing the problem. Correctly identify what type of problem this is. For example, you should note if the problem is a maximization or minimization problem, as well as identify the resources that constrain the solution. Identify each variable and explain the criteria involved in setting up the model. This should be encapsulated in one (1) or two (2) succinct paragraphs.
After the introductory paragraph, write out the L.P. model for the problem. Include the objective function and all constraints, including any non-negativity constraints. Then, you should present the optimal solution, based on your work in Excel. Explain what the results mean.
Finally, write a paragraph addressing the part of the problem pertaining to sensitivity analysis and shadow price.
Excel.
As previously noted, please set up your problem in Excel and find the solution using Solver. Clearly label the cells in your spreadsheet. You will turn in the entire spreadsheet, showing the setup of the model, and the results.

Essay Sample Content Preview:

Quantitative Methods - MAT540
Case Analysis Paper
Julia’s Food Booth
Chapter 3, page 109
Student Name
Date
Professor ____________________
Strayer University
Parameters/Background
The case study involving Julia’s food booth
Julia is considering leasing a food booth outside Tech Stadium at home for six (6) football games.
If she clears $1000 in profit for each game, she believes it will be worth leasing the booth.
$1000 per game to lease the booth
$600 to lease a warming oven
She has $1500 to purchase food for first game and for the remaining five games she will purchase her ingredients with money made from previous game.
Each pizza costs $6 for eight slices, which is $ 0.75 per slice, and she will sell it for $1.50
Each hot dog costs 0.45 and she will sell it for $1.50
Each BBQ Sandwich costs 0.90 and she will sell it for $2.25
There are Food Cost, Oven, and Ratio Constraints that include:
QM assessment (Describe the Excel Solver and/or QM for Windows tool input)
Pizza Slices x1Hot Dogs x2BBQ x3 RHS
Maximize 0.75 0.45 0.90
Food Costs 0.75 0.45 0.90 <= 1500
Oven Space 24.0 16.0 25.0 <= 55296
Hot Dog to BBQ ratio demand -12 >= 0
Pizza to Hot Dog and BBQ ratio demand 1 -1 -1 >= 0
Equation form (fill in coefficients, amounts, etc.)
Maximize Z = 0.75Pizza Slices x1 + 0.45 Hot Dogs x2 + 0.90BBQ x3
Food Cost Constraint: 0.75Pizza Slices x1+0.45 Hot Dogs x2 + 0.90 BBQ x3 <= 1500
Oven Space Constraint: 24Pizza Slices x1 + 16Hot Dogs x2 + 25BBQ x3 <= 55296
Hot Dog to BBZ ratio Constraint: -Hot Dogs x2 +2BBQ x3 >= 0
Pizza to Hot Dog and BBQ Constraint: 1Pizza Slices x1 - Hot Dogs x2 - BBQ x3 >= 0
Linear Programming Results (from Excel Solver and/or QM for Windows):
Objective Cell (Max)






Cell

Name

Original Value

Final Value




$F$5

Objective function Z

0

1500

















Variable Cells






Cell

Name

Original Value

Final Value

Integer



$C$4

Pizza

0

1111.111111

Contin



$D$4

Hotdog

0

740.7407407

Contin



$E$4

Sandwich

0

370.3703704

Contin


...
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