Sleek Sdn. Bhd. is planning on introducing 2 new stool designs (Deni & Arni) for their 2022 furniture catalogue. Each stool is made up of 4 legs and 1 seat. Both designs use the same seat. Deni has shorter (1.5 foot) legs, while Arni has longer (2.5 foot) legs. It takes 0.1 hours of labour to cut and shape a short leg, 0.15 hours to do the same for a long leg, and 0.5 hours to produce a seat. It takes an additional 0.3 hours to attach a set of legs to a seat for either design. The estimated profit is RM25 for each Deni sold and RM45 for each Arni sold. Sleek has unlimited access to material for seats, but only has 500 feet of material for the legs, and 75 labour hours available. Formulate a Linear Program for Sleek Sdn. Bhd. that optimises profit. Assume that Sleek is able to sell all stools that they make and that they must have zero leftover legs and seats.

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

Introduction to Operations Research

 

Sleek Sdn. Bhd. is planning on introducing 2 new stool designs (Deni & Arni)
for their 2022 furniture catalogue. Each stool is made up of 4 legs and 1 seat.
Both designs use the same seat. Deni has shorter (1.5 foot) legs, while Arni
has longer (2.5 foot) legs. It takes 0.1 hours of labour to cut and shape a short
leg, 0.15 hours to do the same for a long leg, and 0.5 hours to produce a
seat. It takes an additional 0.3 hours to attach a set of legs to a seat for either
design.
The estimated profit is RM25 for each Deni sold and RM45 for each Arni
sold. Sleek has unlimited access to material for seats, but only has 500 feet
of material for the legs, and 75 labour hours available. Formulate a Linear
Program for Sleek Sdn. Bhd. that optimises profit. Assume that Sleek is able
to sell all stools that they make and that they must have zero leftover legs and
seats.
Transcribed Image Text:Sleek Sdn. Bhd. is planning on introducing 2 new stool designs (Deni & Arni) for their 2022 furniture catalogue. Each stool is made up of 4 legs and 1 seat. Both designs use the same seat. Deni has shorter (1.5 foot) legs, while Arni has longer (2.5 foot) legs. It takes 0.1 hours of labour to cut and shape a short leg, 0.15 hours to do the same for a long leg, and 0.5 hours to produce a seat. It takes an additional 0.3 hours to attach a set of legs to a seat for either design. The estimated profit is RM25 for each Deni sold and RM45 for each Arni sold. Sleek has unlimited access to material for seats, but only has 500 feet of material for the legs, and 75 labour hours available. Formulate a Linear Program for Sleek Sdn. Bhd. that optimises profit. Assume that Sleek is able to sell all stools that they make and that they must have zero leftover legs and seats.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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.