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

Ms word, what is ms words in parts ms words in life?

what is ms words in parts ms words in life?

Enterprise collaboration system, what is the goals of enterprise collaborat...

what is the goals of enterprise collaboration system?

What is the delay of the filter, QUESTION We wish to use the Kaiser win...

QUESTION We wish to use the Kaiser window method to design a discrete-time filter with generalized linear phase that meets specifications of the following form:

SOFTWARE, main task of sofware developper

main task of sofware developper

Flowchart, i need help with flowcharting a procedure

i need help with flowcharting a procedure

Distinguish between buffering and caching, QUESTION (a) Describe what y...

QUESTION (a) Describe what you understand by (i) "openness" and (ii) "Scalability" of a distributed system (b)What is the role of middleware in a distributed system? (c)

Classify computer system according to capacity, classify computer system ac...

classify computer system according to capacity. how they are different from computer according to the classification of technology.provide the comparative study also.

Microprocessor, what is computer? explaine the block diagram of a general p...

what is computer? explaine the block diagram of a general purpose digital computer.

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