Town A is 30 kms east of town B. "Jo" drives to A twice a week, and B once a week. Where is the best place to have a house built so that travelling time will be minimised?
Assuming that house can be built anywhere on the straight line between A and B, I need to devise a formula, differentiate and set to 0 so that I can find the optimum place to build. The problem is, my formulas either differentiate to a number value or involve "speed" which is unknown. I'm missing something somewhere and would appreciate any suggestions!
Once I've solved this, I then have to take into account two journeys to town C situated 50kms north of town B, so the house would be built somwhere in the right angled triangle ABC.
Thanks in advance to anyone who could point me in the right direction!
2007-03-08
02:21:36
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2 answers
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asked by
roobarb72
1
in
Mathematics