Formulate linear programming problem, Basic Computer Science

Assignment Help:

Question

(a) A firm produces four products: P, Q, R, and S. Each unit of product P requires two hours of milling, one hour of assembly, and $10 worth of in-process inventory. Each unit of product Q requires one hour of milling, three hours of assembly, and $5 worth of in-process inventory. Each unit of R requires 2.5 hours of milling, 2.5 hours of assembly, and $2 worth of in-process inventory. Finally, each unit of product S requires five hours of milling, no assembly, and $12 of in-process inventory.

The firm has 120 thousand hours of milling time and 160 thousand hours of assembly time available. In addition, not more than $1 million may be tied up in in-process inventory.

Each unit of product P returns a profit of $40; each unit of Q returns a profit of $24; each unit of product R returns a profit of $36; and each unit of product S returns a profit of $23. Not more than 20 000 units of product P can be sold; not more than 16 000 units of product R can be sold; and any number of units of products P and S may be sold. However, at least 10 000 units of product S must be produced and sold to satisfy a contract requirement.

The objective of the firm is to maximize the profit resulting from the sale of the four products. Formulate the above as a linear programming problem.

(b) Use the simplex method to maximize

                                               z = x1 + x2

                            subject to

                                              x1 + 5x2 ≤ 5

                                              2x1 + x2 4

                             with

                                                x1, x2 0


Related Discussions:- Formulate linear programming problem

Explain the probability and non-probability sampling methods, Question 1 W...

Question 1 Write a program to read four floating point numbers and find their sum and average. Question 2 Differentiate string constants and character constants with one exam

Compare between file processing system and dbms, Problem a. Compare bet...

Problem a. Compare between file processing system and DBMS >>This is a comparison of DBMS with file processing system which the answer has to be searched from the GOOGLE an

Ms-powerpoint presentation for promoting national parks, Ms-PowerPoint Pres...

Ms-PowerPoint Presentation for Promoting National Parks You have been hired by Tourism Department to make a presentation to the travel agents from different countries. Design

Types of computer, types of computer on the basis of shape, size & resource...

types of computer on the basis of shape, size & resources

What is the need for an intelligent website?, Problem Hanson websites a...

Problem Hanson websites are built to work for your business and are built on the concept of intelligent website. An intelligent website is more than just a brochure on the web.

Software Exploration, I need to review 2 different softwares one is windows...

I need to review 2 different softwares one is windows based and the other is Linux Based. Please Ask for further details

Pyhon''s Multi-Line Statements , Statements in Python classically end with ...

Statements in Python classically end with a new line. Python does, though, permit the use of the line continuation character (\) to denote that the line should continue. Illustrati

Memory unit of computer, Memory unit of computer: The Memory  unit is ...

Memory unit of computer: The Memory  unit is an important component of a computer where all the data and information are stored in the form  of binary digits (combination of 0

How to assign Values to Variables in python?, ython variables do not compri...

ython variables do not comprise to be explicitly declared to already reserve memory space. The declaration occurs automatically when you allocate a value to a variable. The equal s

Right click on a folder, I want the detailed theory about the options which...

I want the detailed theory about the options which occur when we right click on a folder.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd