Calc B WS #8

# Calc B WS #8 - of E and r ? 5) An oil refinery is located...

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Calculus B Workshop Activity #8 April 7, 2008 Names:_______________________________________________________________________ 1) A farmer owns 750 feet of fencing. He wants to construct a rectangular pen, and then divide the total area into four sections by constructing three inner walls parallel to one side of the pen. What is the largest possible area of the pen?

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2) An open-topped box is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each corner and bending up the sides. Find the largest volume that such a box can have.
3) If 1200 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume the box can have.

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4) If a resistor of R ohms is connected across a battery of E volts with an internal resistance of r ohms, then the power (in watts) in the external resistor is If E and r are fixed values but R varies, what is the maximum value of the power in terms

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Unformatted text preview: of E and r ? 5) An oil refinery is located on the north bank of a straight river that is 2 kilometers wide. A pipeline is to be constructed from under the refinery to storage tanks located on the south bank of the river 6 kilometers east of the refinery by first laying a line along the north bank to a point P and then passing under the river to the tanks. The cost of laying pipe is \$400,000 per kilometer over land to a point P and \$800,000 per kilometer under the river to the tanks. To minimize cost, where should P be located. 6) A baseball stadium holds 55,000 spectators. With ticket prices at \$10 each, the average attendance had been 27,000. When the ticket prices were lowered to \$8 each, the average attendance rose to 33,000. If we assume a linear relationship between ticket price and average attendance, how should ticket prices be set to maximize profits?...
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## This note was uploaded on 01/10/2012 for the course MATH 1016-272 taught by Professor Prevendoski during the Spring '07 term at RIT.

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Calc B WS #8 - of E and r ? 5) An oil refinery is located...

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