Problem 3 Sensitivity Analysis. A masonry plant produces four types of breeze-blocks (a type of brick made from concrete rather than clay). There are three stages of the manufacturing process which require labor: Mixing, Vibrating, and Inspection. During the next month, there are 700 machine-hours available for mixing, 1100 machine-hours for vibration, and 340 man-hours for inspection. Each variety of breeze-block has its own set of manufacturing requirements given in Table 1 below. Variety 1 2 3 4 Profit ($) 8 10 15 22 5 8 Mixing (Mhrs) 1 2 Vibrating (Mhrs) 1.5 2 Inspection (Mhrs) 0.5 0.6 1 2 4 5 Table 1: Required hours of labor for each process per one pallet of each variety of breeze-block.

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
Problem 3 Sensitivity Analysis. A masonry plant produces four types of breeze-blocks (a
type of brick made from concrete rather than clay). There are three stages of the manufacturing
process which require labor: Mixing, Vibrating, and Inspection. During the next month, there are
700 machine-hours available for mixing, 1100 machine-hours for vibration, and 340 man-hours for
inspection. Each variety of breeze-block has its own set of manufacturing requirements given in
Table 1 below.
Variety 1 2
Profit ($)
8
00
4
3
10 15 22
Mixing (Mhrs) 1
Vibrating (Mhrs) 1.5 2 4
Inspection (Mhrs) 0.5 0.6 1 2
2 5 8
5
Table 1: Required hours of labor for each process per one pallet of each variety of breeze-block.
(a) Model the problem of maximizing next months profit as a linear program and solve it. Report
both your LP and optimal solution in your submission.
Transcribed Image Text:Problem 3 Sensitivity Analysis. A masonry plant produces four types of breeze-blocks (a type of brick made from concrete rather than clay). There are three stages of the manufacturing process which require labor: Mixing, Vibrating, and Inspection. During the next month, there are 700 machine-hours available for mixing, 1100 machine-hours for vibration, and 340 man-hours for inspection. Each variety of breeze-block has its own set of manufacturing requirements given in Table 1 below. Variety 1 2 Profit ($) 8 00 4 3 10 15 22 Mixing (Mhrs) 1 Vibrating (Mhrs) 1.5 2 4 Inspection (Mhrs) 0.5 0.6 1 2 2 5 8 5 Table 1: Required hours of labor for each process per one pallet of each variety of breeze-block. (a) Model the problem of maximizing next months profit as a linear program and solve it. Report both your LP and optimal solution in your submission.
(b) Find the Shadow Price of each of the three processes as they relate to your optimal solution
and report them here. Describe how you found the prices and identify the units for each price.
Transcribed Image Text:(b) Find the Shadow Price of each of the three processes as they relate to your optimal solution and report them here. Describe how you found the prices and identify the units for each price.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Similar questions
  • SEE MORE 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.