Each coffee table produced by Kevin Watson Designers nets the firm a profit of $10. Each bookcase yields a $6 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. Decision variables: X = number of coffee tables produced / week Y = number of bookcases produced / week Z=X+Y Objective function:

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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Problem B.11
Each coffee table produced by Kevin Watson Designers nets the firm a profit of
$10. Each bookcase yields a $6 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.
Decision variables:
X = number of coffee tables produced / week
Y = number of bookcases produced / week
Z=x+Y
Objective function:
Transcribed Image Text:Problem B.11 Each coffee table produced by Kevin Watson Designers nets the firm a profit of $10. Each bookcase yields a $6 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. Decision variables: X = number of coffee tables produced / week Y = number of bookcases produced / week Z=x+Y Objective function:
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