Formulate Watson's production-mix decision as a linear programming problem, and solve. How many tables and bookcases should be produced each week? What will the maximum profit be? [PX]

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...
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..B.11 Each coffee table produced by Kevin Watson Designers
nets the firm a profit of $9. 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 12 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.
Formulate Watson's production-mix decision as a linear
programming problem, and solve. How many tables and
bookcases should be produced each week? What will the
maximum profit be? [PX]
Transcribed Image Text:..B.11 Each coffee table produced by Kevin Watson Designers nets the firm a profit of $9. 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 12 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. Formulate Watson's production-mix decision as a linear programming problem, and solve. How many tables and bookcases should be produced each week? What will the maximum profit be? [PX]
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