The Scottville "Mill" produces five different fabrics. Each fabric can be woven on one or more of the mill's 38 looms. The sales department has forecast demand for the next month. The demand data are shown in Table 1.0 below along with data on the selling price per yard, variable cost per yard, and purchase price per yard. The mill operates 24 hours a day and is scheduled for 30 days during the coming month.   The Mill has two types of looms: dobbie and regular. The dobbie looms are more versatile and can be used for all five fabrics. The regular looms can produce only three of the fabrics. The Mill has a total of 38 looms: 8 are dobbie and 30 are regular. The rate of production for each fabric on each type of loom is given in Table 1.1. The time to change over from producing one fabric to another is negligible and does not have to be considered.   The Scottsville Mill satisfies all demand with either its own fabric or fabric purchased from another mill. Fabrics that cannot be woven at Scottsville the Mill because of limited loom capacity will be purchased from another mill. The purchase price of each fabric is also shown in Table 1.0 Monthly Demand, Selling Price, Variable Cost, and Purchase Price Data for Scottsville Textile Mill Fabrics Table 1.0                                 Demand Selling  price Variable cost Purchase Price                   (Yards) ($/Yards) ($/Yard) ($/Yaeds)                 1 16,500 0.99 0.66 0.8                 2 22,000 0.86 0.55 0.7                 3 62,000 1.1 0.49 0.6                 4 7,500 1.24 0.51 0.7                 5 62,000 0.7 0.5 0.7               Table 1.1               Loom Production Rates for the Scottsville Textile Mill   Loom Rate (yards/hour)         Demand Dobbie Regular         1 4.63           2 4.63           3 5.23 5.23         4 5.23 5.23         5 4.17 4.17         Note Fabrics 1 and 2 can be manufactured only on the dobbie loom           Just formulate the case, using Linear Programming ( Decision Variables, Objective function, and constraints

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 69P: The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon...
icon
Related questions
icon
Concept explainers
Topic Video
Question

 

The Scottville "Mill" produces five different fabrics. Each fabric can be woven on one or more of the mill's 38 looms. The sales department has forecast demand for the next month. The demand data are shown in Table 1.0 below along with data on the selling price per yard, variable cost per yard, and purchase price per yard. The mill operates 24 hours a day and is scheduled for 30 days during the coming month.

 

The Mill has two types of looms: dobbie and regular. The dobbie looms are more versatile and can be used for all five fabrics. The regular looms can produce only three of the fabrics. The Mill has a total of

38 looms: 8 are dobbie and 30 are regular. The rate of production for each fabric on each type of loom is given in Table 1.1. The time to change over from producing one fabric to another is negligible and does not have to be considered.

 

The Scottsville Mill satisfies all demand with either its own fabric or fabric purchased from another mill. Fabrics that cannot be woven at Scottsville the Mill because of limited loom capacity will be purchased from another mill. The purchase price of each fabric is also shown in Table 1.0

Monthly Demand, Selling Price, Variable Cost, and Purchase Price Data for Scottsville Textile Mill Fabrics
Table 1.0                        
   
    Demand Selling  price Variable cost Purchase Price              
    (Yards) ($/Yards) ($/Yard) ($/Yaeds)              
  1 16,500 0.99 0.66 0.8              
  2 22,000 0.86 0.55 0.7              
  3 62,000 1.1 0.49 0.6              
  4 7,500 1.24 0.51 0.7              
  5 62,000 0.7 0.5 0.7              
Table 1.1            
  Loom Production Rates for the Scottsville Textile Mill
  Loom Rate (yards/hour)      
  Demand Dobbie Regular      
  1 4.63        
  2 4.63        
  3 5.23 5.23      
  4 5.23 5.23      
  5 4.17 4.17      
  Note Fabrics 1 and 2 can be manufactured only on the dobbie loom          

Just formulate the case, using Linear Programming ( Decision Variables, Objective function, and constraints).

 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps with 7 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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
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
MARKETING 2018
MARKETING 2018
Marketing
ISBN:
9780357033753
Author:
Pride
Publisher:
CENGAGE L