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

The terms ''row-major order'' and ''column-major order", What is meant by t...

What is meant by the terms 'row-major order' and 'column-major order'? Ans: (i) Storing the array column by column is called as column-major order and storing the array row by

Memory, what is cache memory

what is cache memory

Computer storage, Computer Storage: Computer systems include two types...

Computer Storage: Computer systems include two types of digital information storage: internal storage, within the CPU, and the backing (back up) storage on external devices su

Cathode ray tube monitors, Cathode Ray Tube Monitors (CRT): Monitors d...

Cathode Ray Tube Monitors (CRT): Monitors display what is going on in your computer. They can run at various resolutions. It is the part of computer which looks like a TV set.

What is packet switching? explain, Question 1 What are the five subscriber...

Question 1 What are the five subscriber-related signaling functions performed by the operator? Question 2 Compare Microprogrammed control and Hard-wired control Que

Flowchart, create a flowchart showing average score for the 3 quizzes assum...

create a flowchart showing average score for the 3 quizzes assume that there are 3 sections each having 5 students the only valid number to be entered is 1-100 for the quizzes shou

How to set up the location (e.g. plaza, how to set up the location (e.g. pl...

how to set up the location (e.g. plaza, hall of fame, lecture theater or etc.) and services that will be used during the exhibition; devices needed; and finally produced a compreh

Cryptography, For which X,Y in {o, O, Theta, Omega, omega}, do the relation...

For which X,Y in {o, O, Theta, Omega, omega}, do the relationships t(n)+t''(n) = X(min(t(n),t''(n))) and t(n)+t''(n) = Y(max(t(n),t''(n))) hold for all t,t'' such that t(n),t''(n)

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