The manager of a Burger Doodle franchise wants to determine how many sausage biscuits and ham biscuits to prepare each morning for breakfast customers. The two types of biscuits require the following resources: Biscuit Labor (hr.) Sausage (Ib.) Ham (Ib.) Flour (Ib.) Sausage 0.010 0.10 0.04 | Ham 0.024 0.15 0.04 The franchise has 6 hours of labor available each morning. The manager has a contract with a local grocer for 30 pounds of sausage and 30 pounds of ham each morning. The manager also purchases 16 pounds of flour. The profit for a sausage biscuit is $0.60; the profit for a ham biscuit is $0.50. The manager wants to know the number of each type of biscuit to prepare each morning to maximize profit. Formulate a linear programming model for this problem. Solve the linear programming model developed in Problem 18 for the Burger Doodle restaurant by using the computer. a. Identify and explain the shadow prices for each of the resource constraints. b. Which of the resources constraints profit the most? c. Identify the sensitivity ranges for the profit of a sausage biscuit and the amount of sausage

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...
icon
Related questions
Question
100%
1. Formulate linear programming (clearly state decision variables,
objective, and constraints)
2. Find the optimal solution using Excel Solver
3. Do not solve graphically
4. Answer all questions
5. Attach your solver files and formulations.
Transcribed Image Text:1. Formulate linear programming (clearly state decision variables, objective, and constraints) 2. Find the optimal solution using Excel Solver 3. Do not solve graphically 4. Answer all questions 5. Attach your solver files and formulations.
Problem 2
The manager of a Burger Doodle franchise wants to determine how many sausage biscuits and
ham biscuits to prepare each morning for breakfast customers. The two types of biscuits require
the following resources:
Biscuit
Labor (hr.)
Sausage (Ib.)
Ham (Ib.)
Flour (Ib.)
Sausage
0.010
0.10
0.04
Ham
0.024
0.15
0.04
The franchise has 6 hours of labor available each morning. The manager has a contract with a
local grocer for 30 pounds of sausage and 30 pounds of ham each morning. The manager also
purchases 16 pounds of flour. The profit for a sausage biscuit is $0.60; the profit for a ham biscuit
is $0.50. The manager wants to know the number of each type of biscuit to prepare each morning
to maximize profit.
Formulate a linear programming model for this problem.
Solve the linear programming model developed in Problem 18 for the Burger Doodle restaurant
by using the computer.
a. Identify and explain the shadow prices for each of the resource constraints.
b. Which of the resources constraints profit the most?
c. Identify the sensitivity ranges for the profit of a sausage biscuit and the amount of sausage
available. Explain these sensitivity ranges.
Transcribed Image Text:Problem 2 The manager of a Burger Doodle franchise wants to determine how many sausage biscuits and ham biscuits to prepare each morning for breakfast customers. The two types of biscuits require the following resources: Biscuit Labor (hr.) Sausage (Ib.) Ham (Ib.) Flour (Ib.) Sausage 0.010 0.10 0.04 Ham 0.024 0.15 0.04 The franchise has 6 hours of labor available each morning. The manager has a contract with a local grocer for 30 pounds of sausage and 30 pounds of ham each morning. The manager also purchases 16 pounds of flour. The profit for a sausage biscuit is $0.60; the profit for a ham biscuit is $0.50. The manager wants to know the number of each type of biscuit to prepare each morning to maximize profit. Formulate a linear programming model for this problem. Solve the linear programming model developed in Problem 18 for the Burger Doodle restaurant by using the computer. a. Identify and explain the shadow prices for each of the resource constraints. b. Which of the resources constraints profit the most? c. Identify the sensitivity ranges for the profit of a sausage biscuit and the amount of sausage available. Explain these sensitivity ranges.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 5 images

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.