The Gutchi Company manufactures purses, shaving bags, and backpacks. The construction of the three products requires leather and synthetics, with leather being the limiting raw material. The production process uses two types of skilled labor: sewing and finishing. The following table gives the availability of the resources, their usage by the three prod- ucts, and the prices per unit. Resource requirements per unit Resource Purse Вag Ваckраck Daily availability Leather (ft²) Sewing (hr) Finishing (hr) 3 42 40 1 45 Price ($) 24 22 45 115 221

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
icon
Concept explainers
Topic Video
Question
The Gutchi Company manufactures purses, shaving bags, and backpacks. The construction
of the three products requires leather and synthetics, with leather being the limiting raw
material. The production process uses two types of skilled labor: sewing and finishing.
The following table gives the availability of the resources, their usage by the three prod-
ucts, and the prices per unit.
Resource requirements per unit
Resource
Purse
Bag
Вackрack
Daily availability
Leather (ft²)
Sewing (hr)
Finishing (hr)
2
1
3
42
1
2
40
1
.5
1
45
Price ($)
24
22
45
Formulate the problem as a linear program, and find the optimum solution. Next, indicate
whether the following changes in the resources will keep the current solution feasible.
For the cases where feasibility is maintained, determine the new optimum solution (values
of the variables and the objective function).
(a) Available leather is increased to 45 ft².
(b) Available leather is decreased by 1 ft².
(c) Available sewing hours are changed to 38 hrs.
(d) Available sewing hours are changed to 46 hrs.
(e) Available finishing hours are decreased to 15 hrs.
(f) Available finishing hours are increased to 50 hrs.
(g) Would you recommend hiring an additional sewing worker at $15 an hour?
Transcribed Image Text:The Gutchi Company manufactures purses, shaving bags, and backpacks. The construction of the three products requires leather and synthetics, with leather being the limiting raw material. The production process uses two types of skilled labor: sewing and finishing. The following table gives the availability of the resources, their usage by the three prod- ucts, and the prices per unit. Resource requirements per unit Resource Purse Bag Вackрack Daily availability Leather (ft²) Sewing (hr) Finishing (hr) 2 1 3 42 1 2 40 1 .5 1 45 Price ($) 24 22 45 Formulate the problem as a linear program, and find the optimum solution. Next, indicate whether the following changes in the resources will keep the current solution feasible. For the cases where feasibility is maintained, determine the new optimum solution (values of the variables and the objective function). (a) Available leather is increased to 45 ft². (b) Available leather is decreased by 1 ft². (c) Available sewing hours are changed to 38 hrs. (d) Available sewing hours are changed to 46 hrs. (e) Available finishing hours are decreased to 15 hrs. (f) Available finishing hours are increased to 50 hrs. (g) Would you recommend hiring an additional sewing worker at $15 an hour?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
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.