1. A furniture company manufactures two products, P1 and P2, through a two-fold operation: automatic (machine-assisted) processing and manual processing for finishing. The following gives the number of minutes required for each product.     Automatic Manual P1 16 20 P2 20 33   For the coming week, the company has 46 hours for the automatic operation and 42 hours for the manual operation. It was estimated that an hour of machine time costs $15 and finishing, $7. Any idle time in between is considered negligible. P1 and P2 are sold at $24 and $36 each, respectively. The company is obliged to produce 20 Pl's for a particular customer next week. Formulate the appropriate LP model to achieve optimal results in the coming week. Use x's for your decision variables.

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
1. A furniture company manufactures two products, P1 and P2, through a two-fold operation: automatic (machine-assisted) processing and manual processing for finishing. The following gives the number of minutes required for each product.
 
  Automatic Manual
P1 16 20
P2 20 33
 
For the coming week, the company has 46 hours for the automatic operation and 42 hours for the manual operation. It was estimated that an hour of machine time costs $15 and finishing, $7. Any idle time in between is considered negligible. P1 and P2 are sold at $24 and $36 each, respectively. The company is obliged to produce 20 Pl's for a particular customer next week. Formulate the appropriate LP model to achieve optimal results in the coming week. Use x's for your decision variables.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 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.