Average interest ranking given by the children

Assignment Help Mathematics
Reference no: EM132881392

Course: Quantitative Methods

These are Linear Programming Problems

My Teacher Grades it accordingly to the work shown and the answer as well. She's very picky. She basically wants to see how the problem was solved so she can follow the steps and not just the answer. She also makes sure that the variables are clearly defined as well.

For this assignment you can use the Lingo or Excel Solver Program to determine the optimal solution for the linear program problem.

You are planning to take a group of children to the zoo for a trip. There are many exhibits to visit, but you only have 2 'A hours so you won't be able to see all of the animals. Also, some of the exhibits cost extra money to see, and you want to keep the extra cost of the trip below $10 per kid. It costs $7 to see the zookeepers feed the lions, $5 to see the seals perform tricks, and $3 to see a presentation with various Birds of Prey. To help you decide which exhibits to plan on visiting, you have asked each of the children to rank their interest in each animal on a scale from one to ten. Below is a table of the different exhibits, how much time each will take, and the average interest ranking given by the children.

Exhibit                                     Time (Minutes)               Extra Cost                     Average Interest Ranking

Gorillas

25

 

7.1

Penguins

20

 

4.8

Polar Bears

20

 

8.2

Giraffes

15

 

4.0

Insects

15

 

3.2

Elephants

15

 

6.0

Snakes

20

 

6.1

Lemurs

20

 

4.6

Zebras

15

 

5.2

Lion Feeding

45

$7

9.6

Seal Tricks

30

$5

8.6

Birds of Prey

30

$3

8.1

You have to decide which of the exhibits you will visit in order to maximize the children's total interest ranking to try to make their visit to the zoo as enjoyable as possible. Formulate the problem, giving the decision variables, objective function, and constraints. That is, give the mathematical model in its proper format.

Reference no: EM132881392

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