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

Data structure, #question.a tree has 0 off springs at each node. if it had ...

#question.a tree has 0 off springs at each node. if it had a label L, what will be the maximum number of nodes that the tree can have. only an expression involving the number of no

Data processing, Data Processing In any computer-based system, d...

Data Processing In any computer-based system, data storage and retrieval plays an important role. Data storage involves decision about the encoding of data, assignment o

Calories burned, Running on a particular treadmill you burn 3.9 calories pe...

Running on a particular treadmill you burn 3.9 calories per minute. design a program that uses a loop to display the number of calories burned after 10,15,20,25,30 minutes?

flow chart for online placement, Create systems flow chart and state trani...

Create systems flow chart and state tranistion diagram for online placement and consultancy

Concept of instruction, Concept of instruction: The CPU is a semicondu...

Concept of instruction: The CPU is a semiconductor integrated  circuit chip consisting of a large number of transistors. In personal computers, the CPU is also referred by the

Simple batch systems, Simple Batch Systems: Early machines were very...

Simple Batch Systems: Early machines were very expensive, and therefore it was important to maximize machine utilization. To improve utilization, the concept of batch operat

Discuss the advantages and disadvantages of printed indexes, QUESTION 1 ...

QUESTION 1 Discuss the advantages and disadvantages of printed indexes. QUESTION 2 (i) The Library of Congress Subject Headings List and the Sears Subject Headings List

C programming, a cloth merchant A cloth showroom has announced the followin...

a cloth merchant A cloth showroom has announced the following seasonal discounts on purchase of items: Purchase amount Discount Mill items Handloom items 0-100 - 5% 101-200 5% 7.5%

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