Thursday, September 19, 2019

Londons Tree Nursery- QM problem :: essays research papers

LONDON’S TREE NURSERY Model Problem Solving   Ã‚  Ã‚  Ã‚  Ã‚  London’s Nursery is a business that grows and sells evergreen trees. Here lately London’s has been looking into purchasing some new land in order to be able to grow some additional trees. This new land purchase will just be intended for the production of Colorado Blue Spruce trees and Concolor Fir trees. The London’s are looking at a section of land that is ten acres big. Before London’s decides to buy this land they want to know the amount of profits that they will be able to make off the land with the two different types of trees. They also want to know how many of each type of tree they will be able to plant on this section of land.   Ã‚  Ã‚  Ã‚  Ã‚  The model that will be used to determine the best option for London’s will be an Integer Programming Model and this model will be a total integer model. The reason why I selected to use a total integer model is because of the fact that you can not technically grow or sell only part of a tree. The issue of the amount of land can be divided out into fractions of land, but when objects such as these are being dealt with, fractions are not going to be able to properly give you a precise answer. When you use a total integer model, all of the decisions variables are required to have integer solution values. So, instead of coming up with an answer that might say you should produce 125.4 Colorado trees and 136.8 Concolor trees, your answer will not require any guessing or rounding down to try to determine the results. With a total integer model, your answer will be exact and it won’t require taking any chances. The new trees that London’s plan on growing on their new land have different requirements. The Colorado Blue Spruce requires about five square feet of room, and the Concolor Fir tree normally needs around seven square feet of room to properly grow and be maintained. The two trees also require different amounts of labor time in maintaining them. During the time that the nursery will have the trees a Colorado tree needs 1.5 hours of labor, but since the Concolor tree is more of an easy adapting tree they only need 1 hour(s) of labor a week. The London’s Tree Nursery has an extra 300 hours that they plan on using for these trees.

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