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.

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.

Name: Q1 QUESTION 1A wood shop makes the following items: shelves, tables an
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Description: Q1 QUESTION 1A wood shop makes the following items: shelves, tables and chairs. Each item is processed in three departments to create the finished product. DepartmeA shelf requires 3 labor-hours in Department I, 6 labor-hours in Department II and 4 l

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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