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

Cisc, two characteristics og CISC architecture?

two characteristics og CISC architecture?

Spreadsheet software , Spreadsheet Software : Consider the grid in Fig. ...

Spreadsheet Software : Consider the grid in Fig. 9.4. It is split into rows and columns and is a pictorial representation of a typical spreadsheet program.  Figure: Spr

Websites, Hanson websites are built to work for your business and are built...

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. It allows y

C programming, hello do have c programming experts

hello do have c programming experts

Definition of ALU , The ALU, or the arithmetic and logic unit is the part...

The ALU, or the arithmetic and logic unit is the part of the processor that is occupied with executing operations of an arithmetic or logical nature. It works in conjunction by mea

Wide area networks and metropolitan area networks, Metropolitan Area Networ...

Metropolitan Area Networks : These type of networks generally cover specific metropolitan area and provide to them all the services.  Wide Area Networks (WANs): Wide Are

10, constant key use for in calculator

constant key use for in calculator

Networking, what is computer topology .

what is computer topology .

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