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

Generations of computers, Ask question #Minimum assignment on generations o...

Ask question #Minimum assignment on generations of computers 100 words accepted#

What is nanp? explain, Question 1 What is NANP? Explain Question 2 ...

Question 1 What is NANP? Explain Question 2 What is E&M signaling? Discuss in brief Question 3 What are the common custom calling features? Question 4 Expl

Classification of computers, Classify computer systems according to capacit...

Classify computer systems according to capacity. How they are different from computers according to the classification of technology. Provide comparative

Exploitation of parallelism, Exploitation of Parallelism Similar calcul...

Exploitation of Parallelism Similar calculations have of course been a subject of dynamic research in computer technology for the past several years. Whereas parallelism within

Networking and telecommunications, NETWORKING AND TELECOMMUNICATIONS: ...

NETWORKING AND TELECOMMUNICATIONS: Computers can now communicate with each other and with a range of peripheral devices, over distances with increasing speed and reliability.

Pipelining, tellme the types of pipelining

tellme the types of pipelining

Why assembly language is good?, Because it is enormously low level, assembl...

Because it is enormously low level, assembly language can be optimized enormously well. Therefore assembly language is used where the extreme performance is needed for applications

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

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