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

Assignment of making a small database, assignment of making a small databas...

assignment of making a small database in C# with a back end support of MS Access. i required a form with following options : Enter a new user (user name, father name, age, d

Computer files, criteria for classifying computer files

criteria for classifying computer files

Central processing unit, Central Processing Unit Microprocessor Th...

Central Processing Unit Microprocessor The microprocessor is an important component in the CPU. It is the unit which processes the instructions depending on its capability

Rom, what is rom

what is rom

Socket programming, Important: • No cheating will be tolerated. • No late s...

Important: • No cheating will be tolerated. • No late submissions. Total Points for this programming assignment: 100 The goal of your programming assignment is to build and experim

ASSIGNMENTS, A STAIRCASE LIGHT IS CONTROLLED BY TWO SWITCHES ONE AT THE TOP...

A STAIRCASE LIGHT IS CONTROLLED BY TWO SWITCHES ONE AT THE TOP OF THE STAIRS AND ANOTHER AT THE BOTTOM OF STAIRS

Explain any five different types of computers, Question 1 Explain any five...

Question 1 Explain any five different types of computers Question 2 Describe Bus Type LAN. Its disadvantages and advantages and examples Question 3 Describe the

Cai, what is cai

what is cai

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