Optimization by using derivatives

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1. A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?

2. If high school prom tickets cost $16 then 1000 people will attend the dance. For every $1 increase in the price 30 fewer people will attend. How much should the dance tickets cost to have the maximum revenue?

3. A rectangular flower bed is to contain 800 square meters. It is to be surrounded by a walk that is 3 meters wide along the sides and 6 meters across the ends. If the total area of the bed and the walk is to be a minimum, what are the dimensions of the bed?

Reference no: EM13128088

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