Each coffee table produced by Kevin Watson Designers nets the firm a profit of $8. Each bookcase yields a $6 profit.​ Watson's firm is small and its resources limited. During any given production period ​(of 1 week)​, 9gallons of varnish and 12 lengths of​ high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1length of redwood. Each bookcase takes 1gallon of varnish and 2 lengths of wood.   The aim of the objective function for Kevin should be to Maximize the objective value.   Part 2 Decision​ variables:      X​ = number of coffee tables produced​ / week      Y​ = number of bookcases produced​ / week   Part 3 Objective​ function:   Z= 8X+6Y       Part 4 Subject​ to:     1X+1Y    ≤ 9    (C1​)       1X+2Y    ≤12   (C2​)       X, Y ≥0       Part 5   On a graph constraints C1 and C2 have been plotted. Using the point drawing tool​, plot all the corner points for the feasible area.   The optimum solution​ is:   X​ =   ​(round your response to two decimal​ places). Y​ =     Optimal solution value Z ​ =

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

Each coffee table produced by Kevin Watson Designers nets the firm a profit of

$8. Each bookcase yields a $6 profit.​ Watson's firm is small and its resources limited. During any given production period ​(of 1 week)​, 9gallons of varnish and 12 lengths of​ high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1length of redwood. Each bookcase takes 1gallon of varnish and 2 lengths of wood.

 

The aim of the objective function for Kevin should be to Maximize the objective value.

 

Part 2

Decision​ variables:

     X​ = number of coffee tables produced​ / week

     Y​ = number of bookcases produced​ / week

 

Part 3

Objective​ function:

 

Z=

8X+6Y

   

 

Part 4

Subject​ to:

   

1X+1Y

   ≤ 9

   (C1​)

 

   

1X+2Y

   ≤12

  (C2​)

 

   

X, Y ≥0

   

 

Part 5

 

On a graph constraints C1 and C2 have been plotted. Using the point drawing tool​, plot all the corner points for the feasible area.

 


The optimum solution​ is:

 

X​ =   ​(round your response to two decimal​ places).

Y​ =

 

 

Optimal solution value Z ​ =    (round your response to two decimal​ places).

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 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.