An ad campaign for a new snack chip will be conducted in a limited

Consider the following linear programming problem

Max        8X + 7Y

                        s.t.         15X + 5Y  <  75

                                      10X + 6Y  <  60

                                          X +   Y  <  8

                                              X, Y  ≥  0         

a.         Set up and solve using Management Scientist, Excel Solver, or an online LP solver.           

b.        What are the values of X and Y at the optimal solution?

c.        What is the optimal value of the objective function?

 An ad campaign for a new snack chip will be conducted in a limited geographical area and can use TV time, radio time, and newspaper ads. Information about each medium is shown below.


Cost Per Ad

# Reached

Exposure Quality













The number of TV ads cannot exceed the number of radio ads by more than 10% (for example, if there are 100 radio ads, then there cannot be more 110 TV ads). The number of radio ads cannot exceed the number of newspaper ads by more than 13.

If in addition the advertising budget is $10000, develop the model that will maximize the number reached and achieve an exposure quality of at least 1000 (assume that fractional numbers of ads are ok):

  1. a.    Provide the objective function and set of constraints. define the decision variables


  1. b.   Find the optimal solution using Management Scientist, Lindo, Excel Solver, or online interactive LP software.
  2. c.    List the values of the objective function and the decision variables in the optimal solution you’ve found.         

Tots Toys makes a plastic tricycle that is composed of three major components:  a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels.  The company has orders for 12,000 of these trikes.  

As indicated in Table I below, the company obviously does not have the resources available to manufacture everything needed for the completion of 12000 tricycles, so it has arranged to purchase additional components, as necessary.   

Regarding the outsourcing option, the company can purchase components from one of two suppliers. Supplier A charges a dollar less per component than Supplier B, as indicated in the second table. However, there are limits to the number of components that are available from Supplier A: 

  • up to 5,000 handlebar-front wheel-pedal assemblies
  • up to 5,000 seat and frame units
  • up to 10,000 rear wheels 

Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased from each supplier in order to provide 12000 fully completed tricycles at the minimum cost. (Don’t forget that there are TWO rear wheels per trike) 

a. provide the objective function and set of constraints. define the decision variables

b. find the optimal solution using Management Scientist, Lindo, Excel Solver, or online interactive LP software.

c. list the values of the objective function and the decision variables in the optimal solution you’ve found.

(Guidelines: (1) there are three components, each of which can either be manufactured or purchased from one of two sources – this tells you how many decision variables there are. (2) There are three resources that are utilized when components are produced (not when they are purchased), which determines the set of resource constraints. (3) we need constraints to ensure that we have adequate supplies of each of the three components, and as indicated, each component can be purchased from one of two sources or manufactured. Bear in mind that it may be cost effective to manufacture different percentages of each component. (4) There are limits to how many components of each type that we can purchase from supplier A.




Table I: resource limitations for in-house manufacturing

In-house manufacturing:
















Each rear wheel










Table II: Parts Production and Purchase Costs:







Cost to Manufacture

Cost to Purchase from Supplier A

Cost to Purchase from Supplier B









Rear Wheel





Get 20% Discount on This Paper
Pages (550 words)
Approximate price: -

Try it now!

Get 20% Discount on This Paper

We'll send you the first draft for approval by at
Total price:

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

Paper Helper has assembled a team of highly skilled writers with diverse experience in the online writing circles. Our aim is to become a one stop shop for all your Academic/ online writing. Check out below our amazing service!


Essay Writing Services

At Paper Helper, we prioritize on all aspects that creates a good grade such as impeccable grammar, proper structure, zero-plagiarism, and conformance to guidelines. The principal purpose of essay writing is to present the author's evaluation concerning a singular subject about which they have made. Since Professionalism is the mother of every success, try our team of experienced writers in helping you complete your essays and other assignments.


Admission Papers

You have been trying to join that prestigious institution you long yearned for, but the hurdle of an admission essay has become a stumbling block. We have your back, with our proven team that has gained invaluable experience over time, your chance of joining that institution is now! Just let us work on that essay.How do you write an admission essay? How do you begin the essay? For answers, try Quality Custom Writers Now!


Editing and Proofreading

Regardless of whether you're pleased with your composing abilities, it's never an impractical notion to have a second eye go through your work. The best editing services leaves no mistake untouched. We recognize the stuff needed to polish up a writing; as a component of our editing and proofreading, we'll change and refine your write up to guarantee it's amazing, and blunder free. Our group of expert editors will examine your work, giving an impeccable touch of English while ensuring your punctuation and sentence structures are top-notch.


Technical papers

We pride ourselves in having a team of clinical writers. The stringent and rigorous vetting process ensures that only the best persons for job. We hire qualified PhD and MA writers only. We equally offer our team of writers bonuses and incentives to motivate their working spirit in terms of delivering original, unique, and informative content. They are our resources drawn from diverse fields. Therefore your technical paper is in the right hands. Every paper is assessed and only the writers with the technical know-how in that field get to work on it.


College Essay Writing

If all along you have been looking for a trustworthy college essay service provider that provides superb academic papers at reasonable prices, then be glad that you search has ended with us. We are your best choice! Get high-quality college essay writing from our magnificent team of knowledgeable and dedicated writers right now!


Quality Assignment/Homework Help

We give the students premium quality assignments, without alarming them with plagiarism and referencing issues. We ensure that the assignments stick to the rules given by the tutors. We are specific about the deadlines you give us. We assure you that you will get your papers well in advance, knowing that you will review and return it if there are any changes, which should be incorporated.

togel macau togel terbesar bocoran admin jarwo data macau