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

Networking.., write advantages and disadvantages of private and public netw...

write advantages and disadvantages of private and public network

Provide a goms description of the procedure, Question : (a) You want to...

Question : (a) You want to perform the task of sending an e-mail message to three of your friends. You can assume that the email addresses, of the people you want to send the e

What is raid?explain its levels, Question 1 What is fabric login and what ...

Question 1 What is fabric login and what are its functions Question 2 Explain how is IP SAN different from SAN Question 3 Discuss the product related to Fibre Channel Questio

Software, Software: A computer system consists of two parts - hardware...

Software: A computer system consists of two parts - hardware and software. The first part, computer hardware, refers to all the visible components of the computer system:  key

Problem solving using a computer, PROBLEM SOLVING USING A COMPUTER The ...

PROBLEM SOLVING USING A COMPUTER The following steps are required for solving a problem using a computer system:     Problem Definition     Program Planning (Preparati

Grammar, Given the following grammar: -> [ , ] | -> | { } -> a...

Given the following grammar: -> [ , ] | -> | { } -> a | b | cwhich are the strings generated by the grammar? Show the parse tree(s). a). { [ a , b ] }b). [ { a } , b ]

What is meant by clock skew and clock drift among clocks, QUESTION (a) ...

QUESTION (a) Describe what is meant by Clock Skew and Clock Drift among clocks in a distributed system. (b) A clock is reading 08:25:46.0 (hr:min:sec) when it is discovered

The microprocessor, THE MICROPROCESSOR The three fundamental units, whi...

THE MICROPROCESSOR The three fundamental units, which comprise a CPU, have now been discussed in general terms.  So too has a microprocessor, because a microprocessor can be de

Message quality and quantity, Message Quality and Quantity: Quality of...

Message Quality and Quantity: Quality of transmission is a very important .consideration in telecommunication. Voice communication can use a narrow bandwidth, which means the

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