Determine all the constraints. Briefly describe what each constraint represents. A logistics specialist for Charm City Inc. must distribute cases of parts from 3 factories to 3 assembly plants.
Determine all the constraints. Briefly describe what each constraint represents.
A logistics specialist for Charm City Inc. must distribute cases of parts from 3 factories to 3 assembly plants.
The monthly supplies and demands, along with the per-case transportation costs are:
Having Trouble Meeting Your Deadline?
Get your assignment on Determine all the constraints. Briefly describe what each constraint represents. A logistics specialist for Charm City Inc. must distribute cases of parts from 3 factories to 3 assembly plants. completed on time. avoid delay and – ORDER NOW
Assembly Plant
1 2 3 Supply
__________________________________________________________________
A 6 10 14 200
Factory B 2 2 6 400
C 2 8 7 200
__________________________________________________________________
Demand 220 320 200
The specialist wants to distribute at least 100 cases of parts from factory B to assembly plant 2.
(a) Formulate a linear programming problem to minimize total cost for this transportation problem.
(b) Solve the linear programming formulation from part (a) by using either Excel or QM for Windows. Find and interpret the optimal solution and optimal value. Please also include the computer output with your submission.
The following questions are mathematical modeling questions. Please answer by defining decision variables, objective function, and all the constraints. Write all details of the formulation. Please do NOT solve the problems after formulating.
A congressman’s district has recently been allocated $45 million for projects. The congressman has decided to allocate the money to four ongoing projects. However, the congressman wants to allocate the money in a way that will gain him the most votes in the upcoming election. The details of the four projects and votes per dollar for each project are given below.
Project Votes/dollar
________________________
Parks 0.07
Education 0.08
Roads 0.09
Health Care 0.11
Family Welfare 0.08
In order to also satisfy some local influential citizens, he must meet the following guidelines.
– None of the projects can receive more than 30% of the total allocation.
– The amount allocated to education cannot exceed the amount allocated to health care.
– The amount allocated to roads must be equal to or more than the amount spent on parks.
– All of the money must be allocated.
Formulate a linear programming model for the above situation by determining
(a) The decision variables
(b) Determine the objective function. What does it represent?
(c) Determine all the constraints. Briefly describe what each constraint represents.
Explanation & AnswerOur website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Order Now and we will direct you to our Order Page at Litessays. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.