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THANKS !~!!!!: )


My extension on this Application
For an extension of this application, I chose to come up with my own example of a question and solving it. The type of question I will be doing is a maximum and minimum question with regards to the topic of differentiation, because I feel that within this topic, these type of questions are my weakest and most unclear area and I would like to increase my understanding of it by coming up with a question and answer myself.
First, I need to come up with the general idea of the question. For example, one day, the Singapore Government decided that they want to construct a pipeline across the bukit timah area via Bukit Timah Hill. However, that area is protected under the National Parks. So, they have to make sure that the pipe is made extremely deep into the ground, so that it will not affect any wildlife. However, because it is a natural area, some of the soil underground is too hard to construct through, so the government has to make sure that the pipelines constructed avoids such areas.
Second, I will draw a diagram:




Third, I will add in numerical details. Point C is 1000 m west of A. The construction cost is 30 000 dollars per hundred metres in the forest, and 20 000 dollars per hundred metres along the edge of the forest.
Fourthly, the question. Determine the crossing point B which will result in the minimum construction cost for the pipeline