A wood shop makes the following items: shelves, tables and chairs. Each item is processed in three departments to create the finished product. C A shelf requires 3 labor-hours in Department I, 6 labor-hours in Department II and 4 labor-hours in Department III. A table table requires 3 labor-hours in Department I, 5 labor-hours in Department II and 5 labor-hours in Department III. A chair requires 6 labor-hours in Department I, 2 labor-hours in Department II and 2 labor-hours in Department III. The total available labor-hours per week for departments I, II, and III are 900, 1,170, and 860, respectively. The profit for each shelf is $250, the profit for each table is $400 and the profit for each chair is $150. How many units of each product should the wood shop produce in order to maximize profits? Let x = # shelves to be produced per week Let y = # tables to be produced per week Let z = # chairs to be produced per week Using the above information, formulate but do not solve. Label the objective equation and the constraints. DO NOT SOLVE for x, y and z.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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QUESTION 1
A wood shop makes the following items: shelves, tables and chairs. Each item is processed in three departments to create the finished product. Departme
A shelf requires 3 labor-hours in Department I, 6 labor-hours in Department II and 4 labor-hours in Department III.
A table table requires 3 labor-hours in Department I, 5 labor-hours in Department II and 5 labor-hours in Department III.
A chair requires 6 labor-hours in Department I, 2 labor-hours in Department II and 2 labor-hours in Department III.
The total available labor-hours per week for departments I, II, and III are 900, 1,170, and 860, respectively.
The profit for each shelf is $250, the profit for each table is $400 and the profit for each chair is $150.
How many units of each product should the wood shop produce in order to maximize profits?
Let x = # shelves to be produced per week
Let y = # tables to be produced per week
Let z = # chairs to be produced per week
Using the above information, formulate but do not solve. Label the objective equation and the constraints. DO NOT SOLVE for x, y and z.
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
BIUS
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Transcribed Image Text:QUESTION 1 A wood shop makes the following items: shelves, tables and chairs. Each item is processed in three departments to create the finished product. Departme A shelf requires 3 labor-hours in Department I, 6 labor-hours in Department II and 4 labor-hours in Department III. A table table requires 3 labor-hours in Department I, 5 labor-hours in Department II and 5 labor-hours in Department III. A chair requires 6 labor-hours in Department I, 2 labor-hours in Department II and 2 labor-hours in Department III. The total available labor-hours per week for departments I, II, and III are 900, 1,170, and 860, respectively. The profit for each shelf is $250, the profit for each table is $400 and the profit for each chair is $150. How many units of each product should the wood shop produce in order to maximize profits? Let x = # shelves to be produced per week Let y = # tables to be produced per week Let z = # chairs to be produced per week Using the above information, formulate but do not solve. Label the objective equation and the constraints. DO NOT SOLVE for x, y and z. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px A V Click Save and Submit to save and submit. Click Save All Answers to save all answers.
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