# Mat 540 - Assignment 3

Submitted By alj1281
Words 1877
Pages 8
Assignment 3: Julia’s Food Booth
Quantitative Methods - MAT

Assignment #3: Julia’s Food Booth
A. Formulate and solve an L.P. model for this case:

X1 = pizza slices
X2 = hot dogs
X3 = B B Q sandwiches

This model is set up for the first home game.
Next, you would maximize Z = \$0.75 x1 + 1.05 x2 + 1.35 x3 which is subject to the following:
\$0.75x1 + 0.45x2 + 0.90x3 = 2.0 so x1, x2, x3 >=0
X3

All of which is displayed in the graph below. (Note: The oven space needed for a slice of pizza is determined by dividing the total space required by the slice of pizza, 14 x 14 = 196 in^2 by 8 or 24 in^2 per slice. The total space available would be the dimensions of the shelf, 36 in. x 48 in. = 1,728 in^2, multiply that by 2, the times before kickoff and halftime, thus the oven will be filled 55,296in^2.

Solution: X1 = 1,250 slices of pizza
X2 = 1,250 hot dogs
X3 = 0 bbq sandwiches
Z = \$2,250
| | | | | | | | |
Food items: | | Pizza | Hot Dogs | Barbecue | | | | |
Profit per item: | 0.75 | 1.05 | 1.35 | | | | |
Constraints: | | | | Available | Usage | Left over | |
Budget (\$) | 0.75 | 0.45 | 0.90 | 1,500 | 1,500.00 | 0 | |
Oven space (sq. in.) | 24 | 16 | 25 | 55,296 | 50,000.00 | 5296 | |
Demand | 1 | -1 | -1 | 0 | - | 0 | |
Demand | 0 | 1 | -2 | 0 | 1,250.00 | -1250 | |
| | | | | | | | |
Stock | | | | | | | | |
Pizza= | 1250 | slices | | | | | | |
Hot Dogs= | 1250 | hot dogs | | | | | | |
Barbecue= | 0 | sandwiches | | | | | | |
Profit= | 2,250.00 | | | | | | | |

Julia’s profit before expenses should be \$2,250. The lease is \$1,000 per game thus giving a profit of \$1,250.00. Then she had the cost of leasing the warming oven of \$100, leaving her with…...

### Similar Documents

#### Mat 540 Assigment 3

...Judge’s Score Sheet & Guidelines Chili will be judged according to 5 criteria. Chili will be rated on a scale of zero to 10 for each of the 5 categories; 1. Color – Chili should look appetizing, reddish brown is generally accepted as good. 2. Aroma – Chili should smell good. This also indicates what’s in store when you taste it. 3. Consistency – Chili must have a good ratio between sauce and meat. It should not be dry, watery, grainy, lumpy, or greasy. 4. Taste – Taste, above all else, taste is the most important factor. The taste should consist of a combination of meat, spices, etc. with no particular ingredient being dominant. 5. After-taste – The aftertaste or bite is the heat created by the various types of spices and or peppers. Judge each Chili on it’s on merit; do not compare one chili to another. Use a clean, new spoon for each chili Clear your palate between each chili. Use water or saltines. Place your score on the sheet blank that corresponds to the chili being judged. Do not talk to other judges or compare notes. If you have any food allergies, please ensure a Deja Brew employee is made aware of it before judging begins. [pic] Deja Brew Chili Cook-off Official Score Sheet Chili # ______________________ Date_____________ Please rate this chili on a scale of zero (low) to 10 (high), using only whole numbers, against the 5 category descriptions above; ______ Color ______ Aroma ______ ......

Words: 250 - Pages: 1

#### Mat 540 - Assignment 3

...Assignment 3: Julia’s Food Booth Quantitative Methods - MAT Assignment #3: Julia’s Food Booth A. Formulate and solve an L.P. model for this case: X1 = pizza slices X2 = hot dogs X3 = B B Q sandwiches This model is set up for the first home game. Next, you would maximize Z = \$0.75 x1 + 1.05 x2 + 1.35 x3 which is subject to the following: \$0.75x1 + 0.45x2 + 0.90x3 = 2.0 so x1, x2, x3 >=0 X3 All of which is displayed in the graph below. (Note: The oven space needed for a slice of pizza is determined by dividing the total space required by the slice of pizza, 14 x 14 = 196 in^2 by 8 or 24 in^2 per slice. The total space available would be the dimensions of the shelf, 36 in. x 48 in. = 1,728 in^2, multiply that by 2, the times before kickoff and halftime, thus the oven will be filled 55,296in^2. Solution: X1 = 1,250 slices of pizza X2 = 1,250 hot dogs X3 = 0 bbq sandwiches Z = \$2,250 | | | | | | | | | Food items: | | Pizza | Hot Dogs | Barbecue | | | | | Profit per item: | 0.75 | 1.05 | 1.35 | | | | | Constraints: | | | | Available | Usage | Left over | | Budget (\$) | 0.75 | 0.45 | 0.90 | 1,500 | 1,500.00 | 0 | | Oven space (sq. in.) | 24 | 16 | 25 | 55,296 | 50,000.00 | 5296 | | Demand | 1 | -1 | -1 | 0 | - | 0 | | Demand | 0 | 1 | -2 | 0 | 1,250.00 | -1250 | | | | | | | | | | | Stock...

Words: 1877 - Pages: 8

#### Mat 540 - Assignment 2

...Explanation: I conducted a random simulation with the information provided based on 52 base week calendar. Author B. Taylor stated “simulation can be applied to a number of problems that are too difficult to model and solve analytically” (Taylor, 2009). In this case the results were based on the use of one copy machine, intervals of breakdown, requiring 1-4 days for repair at a loss, at \$0.10 cents a copy. Day 1: 20%, Day 2: 45%, Day 3: 25%, Day 4: 10% a total probability of 100%. The point of this case study is to simulate the break-down and repair process for one year to obtain an average annual loss of revenue. In addition the amount of time between breakdowns increases the probability of needing more costly repairs. Should the anticipated lost revenue exceeds \$12,000.00 annually a backup copier will be purchased. We must keep in mind the most important factors of customer satisfaction and convenience, which is what, prompted the owners of JET to start their business in the first place. The first part of creating the probability of breakdowns relied upon information supplied by Jet Copies and their estimated probability of distribution. The nearby college staff had prior knowledge of the service provider’s timelines for repair because they had the same copier in the campus office. JET used their own estimated repair time to recreate a random repair time probability table using a range of days. As a result the average repair time was 3 days at a cost of \$691...

Words: 677 - Pages: 3

#### Mat 540 Assignment 3

...Assignment #3 Case Problem - Julia's Food Booth May 28, 2013 Strayer University Course: MAT 540 – Quantitative Methods A: Formulation of the LP Model Let: X1 = (Pizza), X2 = (hotdogs), X3 = (barbecue sandwiches) Constraints: Maximum fund available for the purchase = \$1500 Constraint: 0.75X1 + 0.45X2+ 0.90(X3) ≤ 1500 Cost: Cost per pizza slice = \$6 (get 8 slices) =6/8 = \$0.75 Cost for a hotdog = \$.45 Cost for a barbecue sandwich = \$.90 Oven space: Space available = 3 x 4 x 16 = 192 sq. feet = 192 x 12 x 12 =27648 sq. inches The oven will be refilled before half time- 27648 x 2 = 55296 Space required for pizza = 14 x 14 = 196 sq. inches Space required for pizza slice = 196/ 8 = 24.50 sq. inches Space required for a hotdog =16 Space required for a barbecue sandwich = 25 Constraint: Constraint: 24.50 (X1) + 16 (X2) + 25 (X3) ≤ 55296 Julia can sell at least as many slices of pizza(X1) as hot dogs(x2) and barbecue sandwiches (X3) combined Constraint: X1 ≥ X2 + X3 = X1 - X2 - X3 ≥ 0 Julia can sell at least twice as many hot dogs as barbecue sandwiches When: X2/X3 ≥ 2 = X2 ≥2 X3 =X2 - 2 X3 ≥ 0 X1, X2, X3 >= 0 (Non negative constraint) Objective Function (Maximize Profit): Products: | Pizza (X1) | Hotdogs (X2) | Barbecue Sandwich(X3) | Sell | 1.5 | 1.5 | 2.25 | Cost | 0.75 | 0.45 | 0.9 | Profit | 0.75 | 1.05 | 1.35 | Profit = Sell - Cost Profit formula: Z = 0.75 X1 + 1.05 X2 + 1.35 X3 LP Model Maximize method: Z = 0.75 X1...

Words: 862 - Pages: 4

#### Mat 540 Quiz 3

Words: 1171 - Pages: 5

#### Mat 540 Mat540 Complete Homework Assignment

...MAT 540 MAT540 Complete Homework Assignment Click below link for Answer or visit www.workbank247.com http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 MAT540 Week 1 Homework Chapter 1 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is \$55,000.The variable cost of recapping a tire is \$8.The company charges \$21 to recap a tire. a. For an annual volume of 10,000 tires, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume for the Retread Tire Company operation. 2. Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is \$30,000, and its variable cost per pound of fertilizer is \$0.16. Evergreen sells the fertilizer for \$0.40 per pound. Determine the monthly break-even volume for the company. 3. If Evergreen Fertilizer Company in Problem 2 changes the price of its fertilizer from \$0.40 per pound to \$0.60 per pound, what effect will the change have on the break-even volume? 4. If Evergreen Fertilizer Company increases its advertising expenditures by \$14,000 per year, what effect will the increase have on the break-even volume computed in Problem 2? 5. Annie McCoy, a student at Tech, plans to open a hot dog stand inside Tech’s football stadium during home games. There are seven home...

Words: 7097 - Pages: 29

#### Mat 540 Week 7 Homework Chapter 3

Words: 727 - Pages: 3

#### Mat 540 Mat540 Complete Homework Assignment Mat 540 Mat 540 Complete Homework Assignment

...MAT 540 MAT540 Complete Homework Assignment Click below link for Answer or visit www.workbank247.com http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 MAT540 Week 1 Homework Chapter 1 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is \$55,000.The variable cost of recapping a tire is \$8.The company charges \$21 to recap a tire. a. For an annual volume of 10,000 tires, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume for the Retread Tire Company operation. 2. Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is \$30,000, and its variable cost per pound of fertilizer is \$0.16. Evergreen sells the fertilizer for \$0.40 per pound. Determine the monthly break-even volume for the company. 3. If Evergreen Fertilizer Company in Problem 2 changes the price of its fertilizer from \$0.40 per pound to \$0.60 per pound, what effect will the change have on the break-even volume? 4. If Evergreen Fertilizer Company increases its advertising expenditures by \$14,000 per year, what effect will the increase have on the break-even volume computed in Problem 2? 5. Annie McCoy, a student at Tech, plans to open a hot dog stand inside Tech’s football stadium during home games. There are seven home...

Words: 7097 - Pages: 29

#### Mat540 Week 3 Mat 540 Week 3

Words: 2483 - Pages: 10

#### Mat 540 Quiz 3

Words: 1091 - Pages: 5

#### Mat 540 Week 7 Assignment 3 Case Problem – Julia’s Food Booth

...MAT 540 WEEK 7 ASSIGNMENT 3 CASE PROBLEM – JULIA’S FOOD BOOTH To purchase this Click here: http://www.activitymode.com/product/mat-540-week-7-assignment-3-case-problem-julias-food-booth/ Contact us at: SUPPORT@ACTIVITYMODE.COM MAT 540 WEEK 7 ASSIGNMENT 3 CASE PROBLEM - JULIA’S FOOD BOOTH Complete the “Julia’s Food Booth” case problem on page 109 of the text. Address each of the issues A- D according the instructions given. (A) Formulate and solve an L.P. model for this case. (B) Evaluate the prospect of borrowing money before the first game. (C) Evaluate the prospect of paying a friend \$100/game to assist. (D) Analyze the impact of uncertainties on the model. MAT 540 Week 7 Assignment 3 Case Problem - Julia’s Food Booth Activity mode, MAT 540 Week 7 Assignment 3 Case Problem - Julia’s Food Booth, Home Work Tutorials, Home Work Solutions, Home Work Essay, Home Work Questions.ACC 565 Wk 7 Assignment 3, ACC403 week 2 assignment, ACC565 Week 10, ACCT 212 (Financial Accounting), ACCT 344 (Entire Course) - Devry, ACCT 344 Final Exam Latest 2014 - Devry, ACCT 346 (Managerial Accounting), ACCT 346 Midterm Exam Updated DeVry, ACCT 504, ACCT 504 Week 8, ACCT 553, ART 101 Week 8, Ashford BUS 401, ASHFORD BUS 640, Ashford HIS 204, ASHFORD MAT 222 Week 3, BA 215 (Business Statistics), BA 215 All Assignments Week 1 -8 - Grantham, BA 225, BA 260, BA 265 (Business Law II), BA 265 (Business Law II) FINAL EXAM, BA 340 All Course Assignments, BA 340 Human Resource, BA 370...

Words: 1134 - Pages: 5

#### Mat 540 Assignment 2 Internet Field Trip

Words: 769 - Pages: 4

#### Mat 540 Week 7 Homework Chapter 3

...MAT 540 Week 7 Homework Chapter 3 https://homeworklance.com/downloads/mat540-week-7-homework-chapter-3/ . Southern Sporting Good Company makes basketballs and footballs. Each product is produced from two resources rubber and leather. Each basketball produced results in a profit of \$11 and each football earns \$15 in profit. The resource requirements for each product and the total resources available are as follows: Product Resource Requirements per Unit Rubber (lb.) Leather (ft2) Basketball 2.8 3.7 Football 1.5 5.2 Total resources available 600 900 a. Find the optimal solution. b. What would be the effect on the optimal solution if the profit for the basketball changed from \$11 to \$12? c. What would be the effect on optimal solution if 400 additional pounds of rubber could be obtained? What would be the effect if 600 additional square feet of leather could be obtained? 2. A company produces two products, A and B, which have profits of \$9 and \$7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: Product Resource Requirements per Unit Line 1 Line 2 A 11 5 B...

Words: 695 - Pages: 3