Homework Help is Here – Start Your Trial Now!
Business
Operations Management
The FastMart convenience store is deciding on the optimal mix of the number of 2-liter bottles of Sprite, 7-Up, and FM Citrus (its own brand) to stock on its shelves each week. The contribution margin of Sprite is $.69/bottle, of 7-Up is $.83/bottle, and of FM Citrus is $.97/bottle. The amount of shelf space available is 36 square feet (equal to 5,184 square inches) for all of these bottles, and each bottle takes up 16 square inches. In a given week, FastMart sells at least as much Sprite as it does 7- Up and FM Citrus combined. It also sells at least 3 times as much Sprite as it does FM Citrus each week. The 7-Up delivery truck can deliver a maximum of 120 bottles of 7-Up each week. Formulate an LP to determine how many bottles of the 3 soft drinks should be purchased each week in order to maximize total contribution margin. What is your optimal solution and the resulting objective function value? If FastMart could increase the shelf space for these drinks, how beneficial would that be? What limits exist for your answer to be valid? Should FastMart request the 7-Up bottling plant to deliver more 7-Up bottles each week? If so, what is it worth? If not, why not?

The FastMart convenience store is deciding on the optimal mix of the number of 2-liter bottles of Sprite, 7-Up, and FM Citrus (its own brand) to stock on its shelves each week. The contribution margin of Sprite is $.69/bottle, of 7-Up is $.83/bottle, and of FM Citrus is $.97/bottle. The amount of shelf space available is 36 square feet (equal to 5,184 square inches) for all of these bottles, and each bottle takes up 16 square inches. In a given week, FastMart sells at least as much Sprite as it does 7- Up and FM Citrus combined. It also sells at least 3 times as much Sprite as it does FM Citrus each week. The 7-Up delivery truck can deliver a maximum of 120 bottles of 7-Up each week. Formulate an LP to determine how many bottles of the 3 soft drinks should be purchased each week in order to maximize total contribution margin. What is your optimal solution and the resulting objective function value? If FastMart could increase the shelf space for these drinks, how beneficial would that be? What limits exist for your answer to be valid? Should FastMart request the 7-Up bottling plant to deliver more 7-Up bottles each week? If so, what is it worth? If not, why not?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
See similar textbooks
icon
Related questions
Question
The FastMart convenience store is deciding on the optimal mix of the number of 2-liter bottles of Sprite, 7-Up, and FM Citrus (its own brand) to stock on its shelves each week. The contribution margin of Sprite is $.69/bottle, of 7-Up is $.83/bottle, and of FM Citrus is $.97/bottle. The amount of shelf space available is 36 square feet (equal to 5,184 square inches) for all of these bottles, and each bottle takes up 16 square inches. In a given week, FastMart sells at least as much Sprite as it does 7- Up and FM Citrus combined. It also sells at least 3 times as much Sprite as it does FM Citrus each week. The 7-Up delivery truck can deliver a maximum of 120 bottles of 7-Up each week. Formulate an LP to determine how many bottles of the 3 soft drinks should be purchased each week in order to maximize total contribution margin. What is your optimal solution and the resulting objective function value? If FastMart could increase the shelf space for these drinks, how beneficial would that be? What limits exist for your answer to be valid? Should FastMart request the 7-Up bottling plant to deliver more 7-Up bottles each week? If so, what is it worth? If not, why not?
Transcribed Image Text:The FastMart convenience store is deciding on the optimal mix of the number of 2-liter bottles of Sprite, 7-Up, and FM Citrus (its own brand) to stock on its shelves each week. The contribution margin of Sprite is $.69/bottle, of 7-Up is $.83/bottle, and of FM Citrus is $.97/bottle. The amount of shelf space available is 36 square feet (equal to 5,184 square inches) for all of these bottles, and each bottle takes up 16 square inches. In a given week, FastMart sells at least as much Sprite as it does 7- Up and FM Citrus combined. It also sells at least 3 times as much Sprite as it does FM Citrus each week. The 7-Up delivery truck can deliver a maximum of 120 bottles of 7-Up each week. Formulate an LP to determine how many bottles of the 3 soft drinks should be purchased each week in order to maximize total contribution margin. What is your optimal solution and the resulting objective function value? If FastMart could increase the shelf space for these drinks, how beneficial would that be? What limits exist for your answer to be valid? Should FastMart request the 7-Up bottling plant to deliver more 7-Up bottles each week? If so, what is it worth? If not, why not?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 9 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.
SEE MORE TEXTBOOKS