Purchase Solution

# Formulating Linear Programming Model

Not what you're looking for?

1. A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is \$6 per unit, and the profit for product 2 is \$4 per unit.

a. Formulate a linear programming model for this problem.

2. The Pinewood Furniture Company produces chairs and tables for two resources-labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. woo. The profit derived from each chair is \$400 and from each table, \$100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit.

a. Formulate a linear programming model for this problem.

##### Solution Summary

There are two problems. Solution to each problem explains the steps to formulate a linear programming model.

##### Solution Preview

1. A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is \$6 per unit, and the profit for product 2 is \$4 per unit.

a. Formulate a linear programming model for this problem.

Let x denotes units of product1 and y denotes units of ...

Solution provided by:
###### Education
• BEng (Hons) , Birla Institute of Technology and Science, India
• MSc (Hons) , Birla Institute of Technology and Science, India
###### Recent Feedback
• "Thank you"
• "Really great step by step solution"
• "I had tried another service before Brain Mass and they pale in comparison. This was perfect."
• "Thanks Again! This is totally a great service!"
• "Thank you so much for your help!"

##### Managing the Older Worker

This quiz will let you know some of the basics of dealing with older workers. This is increasingly important for managers and human resource workers as many countries are facing an increase in older people in the workforce

##### IPOs

This Quiz is compiled of questions that pertain to IPOs (Initial Public Offerings)

##### Marketing Management Philosophies Quiz

A test on how well a student understands the basic assumptions of marketers on buyers that will form a basis of their marketing strategies.