Asking for Linear programming problems

In summary, M. Calderón can maximize his total cash if he invests X dollars on Monday, X/2 dollars on Tuesday, and X+2 dollars on Wednesday.
  • #1
marazmatika
3
0
Hello,

I'm studying operations research - linear programming maximization. minimization problems

All tasks in my textbook seem to be very easy ( I've transportation, diet ... examples )

Please if anybody knows where I can find more complicated models where you'll need to think which variables to involve and it won't be easy to guess at the first look , do not hesitate and
tell me.

you can post some problems here. even one complicated task will make a deal

I'm a new girl in this forum and though I have looked through the rules I might be breaking some of them as I'm new. Please don't resent

I've loved getting to know this forum :)

Thank you in advance
 
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  • #2
If you google on "Linear Programing Examples" you will get more urls than I can copy here.
 
  • #3
HallsofIvy said:
If you google on "Linear Programing Examples" you will get more urls than I can copy here.

Thank you for the reply

Yeah, I've tried google but I was wondering if anyone had specific COMPLICATED example

maybe somebody has been studying it and remembers tricky examples

Thanks I've searched and some of them are pretty good :)
 
Last edited:
  • #4
M. Felipe Calderón has $1000 available for investment at the beginning of the trading week. At the start of every day of the week (Monday to Friday), he has the following investment opportunity available:
If he invests X dollars on that day and matches that initial investment with X/2 dollars the next day, then he will receive a total return of 2X dollars on the third day.
In order to facilitate his decision making process, M. Calderón decides to make the following assumptions:
1. If an initial investment is not matched on the subsequent day, the initial investment is lost.
2. Any return that is due on any given day can be reinvested immediately.
3. Cash carried forward from one day to the next does not accrue interest.
4. Borrowing money is not allowed.
a) Assuming that M. Calderón wishes to determine an investment schedule that maximizes his total cash on Saturday, formulate a linear program for this problem. Make sure to clearly define the decision variables and to indicate the various units/measures involved.
b) Solve this problem using Excel. Remember to provide a complete answer which includes the optimal value for each variable and the resulting profit and to include all relevant Excel outputs.
c) Reformulate the original linear program (as in a)) to account for the decision to relax assumption 2 and to suppose instead that there is a reinvestment delay of 1 day.
d) Reformulate the original linear program (as in a)) to account for the decision to relax assumption 3 and using a daily interest rate of 1%.
 

Related to Asking for Linear programming problems

1. What is linear programming?

Linear programming is a method used to find the optimal solution for a mathematical problem that involves linear relationships. It involves maximizing or minimizing a given objective function, while satisfying a set of constraints.

2. What types of problems can be solved using linear programming?

Linear programming can be used to solve a wide range of optimization problems, including resource allocation, production planning, supply chain management, and financial planning.

3. How does linear programming work?

Linear programming involves creating a mathematical model of the problem, with an objective function and a set of constraints. The model is then solved using algorithms to find the optimal solution.

4. What are the advantages of using linear programming?

Linear programming allows for efficient and effective decision-making by providing an optimal solution to complex problems. It also helps in identifying the most critical variables and resources in a problem.

5. What are some real-life applications of linear programming?

Linear programming has various real-life applications, such as optimizing transportation and logistics routes, scheduling production and workforce, and optimizing marketing and advertising strategies. It is also widely used in finance, healthcare, and energy industries.

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