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1 151 WebCalc Fall 2002-copyright Joe Kahlig In Class Questions MATH 151-Fall 02 November 19 1. Find two numbers whose difference is 65 and whose product is a minimum. 2. A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. How should the wire be cut so that the total area enclosed is a maximum? 3. A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12ft. find the dimensions of the rectangle that will produce the largest area for the window. 4. A person in a rowboat 2 miles from the nearest point, called P, on a straight shoreline wishes to reach a house 6 miles farther down the shore. If the person can row at a rate of 3 miles per hour and walk at a rate of 5 miles per hour, how far along the shore should the person walk in order to minimize the amount of time it takes to get to the house?