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Designing a Racing Boat
According to International America’s Cap Class rales, the basic dimensions of any yacht competing for the silver trophy mast satisfy the inequality
where I. is the length in meters. S is the sail area in square meters, and D is the displacement in cubic meters (Americas Cap. www.americascup.org). Use a graphing utility to gel approximate answers to the following questions.
a) A team of British designers wants its new boat to have a length of 20.85 m and a displacement of 17.67 m3 Write the inequality that must he satisfied by the sail area S. Use the graphing technique described in this section to find the interval in which S must lie.
b) A team of Australian designers wants its new boat to have a sail area of 312.54 nr and length of 21.45 m. Write the inequality that must be satisfied by the displacement D. Use the graphing technique to find the interval in which D must lie.
c) A team of American designers wants its new boat to have a sail area of 310.28 nr and a displacement of 17.26 m3 Write the inequality that must be satisfied by the length L. Use the graphing technique to find the interval in which L must lie.
d) When two of the three variables are fixed, the third variable has either a maximum or minimum value. Explain how you can determine whether it is a maximum or minimum by looking at the original inequality.
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College Algebra (6th Edition)
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