example 7b. please show solution Each coffee table produced by Kevin Watson Designers nets the firm a profit of $10. Each bookcase yields a $12profit. Watson's firm is small and its resources limited. During any given production period (of 1 week), 10 gallons ofvarnish and 14 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon ofvarnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood.The aim of the objective function for Kevin should be to Maximize the objective value.The optimum solution is:Number of coffee tables produced per week =(round your response to two decimal places).

Answered: Each coffee table produced by Kevin…

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...

See similar textbooks

Related questions

Question

example 7b. please show solution

Each coffee table produced by Kevin Watson Designers nets the firm a profit of $10. Each bookcase yields a $12
profit. Watson's firm is small and its resources limited. During any given production period (of 1 week), 10 gallons of
varnish and 14 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of
varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood.
The aim of the objective function for Kevin should be to Maximize the objective value.
The optimum solution is:
Number of coffee tables produced per week =
(round your response to two decimal places).

Expert Solution

WORKING NOTES:

Assume Decision variables: Let X1 = No of coffee tables to be produced per week and X2 = No of books cased to be produced per week.

The objective function is indeed to maximize profits because the aim is always to increase/ maximize the Profit.

Z = Max 10X1 + 12X2

It is given that 14 lengths of premium oak and 10 gallons of varnish are always on hand throughout any given production cycle (of one week). One length of redwood and around one gallon of varnish are needed for each coffee table. One gallon of varnish and two pieces of wood are needed for each bookshelf.

Subj to :

1X1 + 1X2 <= 10 (gallons of varnish available)
1X1+ 2X2 <= 14 ( lengths of high-quality redwood available)
X1,X2 > = 0 (Non negativity constraint)