Loading...

Messages

Proposals

Stuck in your homework and missing deadline? Get urgent help in $10/Page with 24 hours deadline

Get Urgent Writing Help In Your Essays, Assignments, Homeworks, Dissertation, Thesis Or Coursework & Achieve A+ Grades.

Privacy Guaranteed - 100% Plagiarism Free Writing - Free Turnitin Report - Professional And Experienced Writers - 24/7 Online Support

A calculator company produces a scientific calculator

18/12/2020 Client: saad24vbs Deadline: 10 Days

LINEAR PROGRAMMING EXAMPLES


• A calculator company produces a scientific calculator and a graphing calculator. Long-term projections indicate an expected demand of at least 100 scientific and 80 graphing calculators each day. Because of limitations on production capacity, no more than 200 scientific and 170 graphing calculators can be made daily. To satisfy a shipping contract, a total of at least 200 calculators much be shipped each day.


If each scientific calculator sold results in a $2 loss, but each graphing calculator produces a $5 profit, how many of each type should be made daily to maximize net profits?


The question asks for the optimal number of calculators, so my variables will stand for that:


x: number of scientific calculators produced y: number of graphing calculators produced


Since they can't produce negative numbers of calculators, I have the two constraints, x > 0 and y > 0. But in this case, I can ignore these constraints, because I already have that x > 100 and y > 80. The exercise also gives maximums: x < 200 and y < 170. The minimum shipping requirement gives me x + y > 200; in other words, y > –x + 200. The profit relation will be my optimization equation: P = –2x + 5y. So the entire system is:


P = –2x + 5y, subject to: 100 < x < 200 80 < y < 170 y > –x + 200


The feasibility region graphs is below, When you test the corner points at (100, 170), (200, 170), (200, 80), (120, 80), and (100, 100), you should obtain the maximum value of P = 650 at (x, y) = (100, 170). That is, the solution is "100 scientific calculators and 170 graphing calculators".


:06-2011 All Rights Reserved


• You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires six square feet of floor space, and holds eight cubic feet of files. Cabinet Y costs $20 per unit, requires eight square feet of floor space, and holds twelve cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volume?


The question ask for the number of cabinets I need to buy, so my variables will stand for that:


x: number of model X cabinets purchased y: number of model Y cabinets purchased


Naturally, x > 0 and y > 0. I have to consider costs and floor space (the "footprint" of each unit), while maximizing the storage volume, so costs and floor space will be my constraints, while volume will be my optimization equation.


cost: 10x + 20y < 140, or y < –( 1/2 )x + 7 space: 6x + 8y < 72, or y < –( 3/4 )x + 9 volume: V = 8x + 12y


This system (along with the first two constraints) graphs is:


When you test the corner points at (8, 3), (0, 7), and (12, 0), you should obtain a maximal volume of 100 cubic feet by buying eight of model X and three of model Y.


• At a certain refinery, the refining process requires the production of at least two gallons of gasoline for each gallon of fuel oil. To meet the anticipated demands of winter, at least three million gallons of fuel oil a day will need to be produced. The demand for gasoline, on the other hand, is not more than 6.4 million gallons a day.


If gasoline is selling for $1.90 per gallon and fuel oil sells for $1.50/gal, how much of each should be produced in order to maximize revenue?


The question asks for the number of gallons which should be produced, so I should let my variables stand for "gallons produced".


x: gallons of gasoline produced y: gallons of fuel oil produced


Since this is a "real world" problem, I know that I can't have negative production levels, so the variables can't be negative. This gives me my first two constraints: namely, x > 0 and y > 0.


Since I have to have at least two gallons of gas for every gallon of oil, then x > 2y.


For graphing, of course, I'll use the more manageable form "y < ( 1/2 )x".


The winter demand says that y > 3,000,000; note that this constraint eliminates the need for the "y > 0" constraint. The gas demand says that x < 6,400,000.


I need to maximize revenue R, so the optimization equation is R = 1.9x + 1.5y. Then the model for this word problem is as follows:


R = 1.9x + 1.5y, subject to: x > 0 x < 6,400,000 Copyright © Elizabeth S06-2011 All Rights Reserved y > 3,000,000 y < ( 1/2 )x


Using a scale that counts by millions (so "y = 3" on the graph means "y is three million"), the above system graphs as follows:


Taking a closer look, I can see the feasibility region a little better:


When you test the corner points at (6.4m, 3.2m), (6.4m, 3m), and (6m, 3m), you should get a maximal solution of R = $16.96m at (x, y) = (6.4m, 3.2m).




Applied Sciences

Architecture and Design

Biology

Business & Finance

Chemistry

Computer Science

Geography

Geology

Education

Engineering

English

Environmental science

Spanish

Government

History

Human Resource Management

Information Systems

Law

Literature

Mathematics

Nursing

Physics

Political Science

Psychology

Reading

Science

Social Science

Home

Blog

Archive

Contact

google+twitterfacebook

Copyright © 2019 HomeworkMarket.com

Homework is Completed By:

Writer Writer Name Amount Client Comments & Rating
Instant Homework Helper

ONLINE

Instant Homework Helper

$36

She helped me in last minute in a very reasonable price. She is a lifesaver, I got A+ grade in my homework, I will surely hire her again for my next assignments, Thumbs Up!

Order & Get This Solution Within 3 Hours in $25/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 3 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 6 Hours in $20/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 6 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 12 Hours in $15/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 12 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

6 writers have sent their proposals to do this homework:

Top Essay Tutor
Helping Hand
University Coursework Help
Writer Writer Name Offer Chat
Top Essay Tutor

ONLINE

Top Essay Tutor

I have more than 12 years of experience in managing online classes, exams, and quizzes on different websites like; Connect, McGraw-Hill, and Blackboard. I always provide a guarantee to my clients for their grades.

$65 Chat With Writer
Helping Hand

ONLINE

Helping Hand

I am an Academic writer with 10 years of experience. As an Academic writer, my aim is to generate unique content without Plagiarism as per the client’s requirements.

$60 Chat With Writer
University Coursework Help

ONLINE

University Coursework Help

Hi dear, I am ready to do your homework in a reasonable price.

$62 Chat With Writer

Let our expert academic writers to help you in achieving a+ grades in your homework, assignment, quiz or exam.

Similar Homework Questions

Nursing - I feel strongly about essay - Getting coffee is hard to do analysis - Duolingo korean basics 1 - History of iot ppt - How to fold a napkin into a hat - Doug wade insurance consultant - Segway distribution channels - Caloundra dc post office - National geographic blizzard 101 - Conveyor belt project part 3 answers - Chart of accounts for auto body shop - Penn foster bookkeeping final project - Bayonet charge poem analysis - Inventory management system report - Unit 6 project management ppt assignment - 2. what is the purpose of anti-drug legislation in relation to public order crime? - OPER EXCE DQ 8 - Mkt 421 week 3 - Antique brick identification charts - Wall thickness floor plan - Character description year 1 - Discussion post #5 and 8 - Canon 511 ink woolworths - Secure software development concepts support protecting applications - Mrs beech chiropodist swaffham - Motorcraft battery warranty chart - Friend or foe chapter 1 - Mvr casuarina opening hours - Blu tack maximum temperature - Dual currency deposit explained - Strength and weekness of (six) articles why they may or may not provide sufficient evidence for my/your practice change - Concept map of memory system - Importance of organizational behavior to managers pdf - Plotting stars on the hr diagram worksheet - University of sussex campus map - Transformational Leadership - Brendan mcassey net worth - Mise en scene elements - The girls brigade in scotland - Broader view of corporate responsibility - Avon age defying flawless legs - What is market domain - Eriochrome red b indicator - Film techniques in blade runner - Drink more water persuasive speech - Discussion & Assignment - The accidental salesperson cliff notes - Eng final film critique paper - Urgent 2 - Clinical Field Experience B: Student Needs and Instructional Planning - 1.5 kg in ounces - Case Study 3: Stepping Forward in Stakeholder Satisfaction - Research Paper - Acc 561 accounting final exam - Qperational. discuss 1 - Difference between global and international advertising - Hunter rain clik wireless rain sensor - I need a 470 words on copywrite project on 32 short messages - Financial accounting - Actress lory walsh cause of death - PRETORIA ABORTION CLINIC +27717852514 ABORTION PILLS FOR SALE IN MAMELODI, PRETORIA, ATTERIDGEVILLE, ACADIA, SUNNYSIDE, - Mount waverley medical centre dr abiy - Tony birtley al jazeera - Spelling bee year 5 - Hpe esxi 6.7 u3 - Remington 1100 carrier release - Nao uk accordion championships - Describe the main biome where elephants are located - 3874 chapter 3-4 - Cengagebrain com student data files - Wk 2 - Apply: Challenges for Fixing Vulnerabilities - Coursespaces uvic - What is par level in housekeeping - Experiment 2 tracking chromosomal dna movement through mitosis - The good daughter caroline hwang - TIMEMAPPER ENTRY 3 (ENCYCLOPEDIA STYLE) CAREFULLY READ ATTACHED DOC. - Importance of ethics and values in social work - Iai pcon ethernet ip - Weather lesson plan esl - Moodle colchester sixth form - Plunder of peach and plum - Heaps and prority queus In python - Is 121 a triangular number - Vaccination argumentative essay - Orientation to the counseling profession 3rd edition - The alpine house inc is a large retailer - Miles hunt erica nockalls split - Internation 5 ok - JA1 Business ethics - Thinking through the past 4th edition - Cry havoc and let slip the dogs of war speech - Great santini basketball scene - Why did bongo quit playing the piano answer - Silver sulfide soluble or insoluble - Left right christmas game - Post modified noun phrase - Mgt351 week 4 - Birkenhead medical centre appointments - Conditional sentences and wishes