OPR 320: LINEAR MODELS IN DECISION MAKINGASSIGNMENT # 1 (due before class on Tuesday, October 4th)1) Every LP must fall into one of the following cases:Case 1: The LP has unique optimal solution.Case 2: The LP has alternative or multiple optimal solutions.Case 3: The LP is infeasible.Case 4: The LP is unbounded.Using graphical method, please identify which of Cases 1-4 apply to each of thefollowing LPs, and provide the solution, if it exists.For each part, circle the correct option, and show work on a separate page.(a) max x1 + x2s.t. x1 + x2 ≤ 4×1 – x2 ≥ 5×1 , x2 ≥ 0(b) max 4×1 + x2s.t. 8×1 + 2×2 ≤ 165×1 + 2×2 ≤ 12×1 , x2 ≥ 0(c) max -x1 + 3×2s.t. x1 – x2 ≤ 4×1 + 2×2 ≥ 4×1 , x2 ≥ 0(d) max 3×1 + x2s.t. 2×1 + x2 ≤ 6×1 + 3×2 ≤ 9×1 , x2 ≥ 0Case 1 / Case 2 / Case 3 / or Case 4If exists, the optimal solution is: .Case 1 / Case 2 / Case 3 / or Case 4If exists, the optimal solution is: .Case 1 / Case 2 / Case 3 / or Case 4If exists, the optimal solution is: .Case 1 / Case 2 / Case 3 / or Case 4If exists, the optimal solution is: .OPR 320: LINEAR MODELS IN DECISION MAKING Fall 2016-201722) The marketing manager for Mountain Mist soda needs to decide how many TV spotsand magazine ads to run during the next quarter. Each TV spot costs $5,000 and isexpected to increase sales by 300,000 cans. Each magazine ad costs $2,000 and isexpected to increase sales by 500,000 cans. A total of $100,000 may be spent on TVand magazine ads; however, Mountain Mist wants to spend no more than $70,000 onTV spots and no more than $50,000 on magazine ads. Mountain Mist earns a profit of$0.05 on each can it sells.a) Formulate an LP model for this problem. Clearly label and define the decisionvariables, the objective function and each of the constraints.b) Sketch the feasible region for this model using the graph paper available in Learn.What is the optimal solution?3) Jim solved a linear program involving profit maximization, subject to variousconstraints, and obtained $120.2 as the optimal objective value. After solving theproblem, he noticed that he forgot to include the most important constraint in hisformulation. Then, he added that constraint and re-solved the problem. The newoptimal objective value is $160.7. Do you trust in the new objective value Jim hascome up with? Please explain your reasoning
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
Our Services
Ace Writing Center has stood as the world’s leading custom essay writing services providers. Once you enter all the details in the order form under the place order button, the rest is up to us.
Essays
At Ace Writing Center, Nowadays, students normally have extremely busy schedules. You will note that some of them have to take on some evening or weekend jobs in order to get some income that can help them to sustain in college or in the university. This can deny them a chance to write all the essays given. Others usually get bombarded with a lot of work by their lecturers. This can still delay such students from working on all their essays. However, some of them usually try to work on all these essays but end up delivering their work late. This can prevent them from graduating since most lecturers are strict on deadlines. If you want to write a business essay, the wise way is to hire an outstanding essay writing service like us, so that you can get the best results. If you are keen, you will note that many companies usually overcharge their customers. Some of them are there only to make money. And in reality, they really don’t care to build a long term commitment with students. You should not choose such companies. You should take your time and choose a reliable company to work with. Ace Writing Center is the ultimate solution for you. We have been offering our writing service for more than 7 years. This is a clear indication that you will get quality essay writing service. We have a wide range of writers who can work on any business essay that you might have. We believe in doing extensive research so that we can provide quality work to all our clients. .
Admissions
Admission and Business Papers
Have you ever had to write an admission essay for college? The majority of students face the same issues when applying to a university or college and many in such situations decide they need professional help to cope with this matter. They get in a situation when the deadline keeps coming closer but lack motivation to start because they are just not sure if their writing skills are strong enough. We have a solution for you! Ace Writing Center is the best admission essay writing service with a large professional team and years of experience in providing high-quality papers to students of all levels and faculties. The mission of our team is to help students make their dreams of entering a good college come true and that’s what we offer!.
Editing
Editing and Proofreading
Sometimes all the words for your paper just flow out of your mind and into your fingers. You type quickly at your keyboard and there they are, your beautiful words right there on the screen. But you have no idea how to polish it up. You may be wishing there was a paper writing service that offered this type of writing service. Look no more! Here at Ace Writing Center, we offer you an editing and proofreading option that you can't find anywhere else..
Coursework
College Essay Writing
In case you are familiar Ace Writing Center, you know the way to distinguish a better company from a cheap one exactly. First of all, poor service website does not have a sufficient support. We think support team is an essential part of success; it has to answer all clients’ questions and be a connecting link between clients and their writers. On our web-service you will get answers about anything you need and your writer will receive all your instructions, assignments and requirements exactly and swiftly. A writing service that we run has got a flexible pricing system that will save you from senseless wastes and many bonus systems that let you sparing money for something important for you.
