Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

1) Swearingen and McDonald, a small furniture manufacturer, produces fine hardwood tables and chairs. Each product must go through three stages of the manufacturing process:

1) Swearingen and McDonald, a small furniture manufacturer, produces fine hardwood tables and chairs. Each product must go through three stages of the manufacturing process: assembly, finishing, and inspection. Each table requires 12 hours of assembly, 20 hours of finishing, and 2 hours of inspection. Each chair requires 4 hours of assembly, 16 hours of finishing, and 3 hours of inspection. The profit per table is $150 while the profit per chair is $100. Currently, each week there are 300 hours of assembly time available, 220 hours of finishing time, and 30 hours of inspection time. To keep a balance, the number of chairs produced should be at least twice the number of tables. Also, the number of chairs cannot exceed 6 times the number of tables. (You may use QM-software for this problem. All the detailed output should be displayed).

a)Formulate this as a linear programming problem. Carefully define all decision variables.

b)Show the graph of the feasible region indicating all the relevant corner points

c)Find the optimal solution to this LP and find the maximum profits.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Consumer Behaviour

Authors: Evans, Martin Evans

2nd Edition

0470994657, 9780470994658

More Books

Students also viewed these Economics questions

Question

Draw a labelled diagram of the Dicot stem.

Answered: 1 week ago

Question

2. The purpose of the acquisition of the information.

Answered: 1 week ago

Question

1. What is the meaning of the information we are collecting?

Answered: 1 week ago