document.write( "Question 74196This question is from textbook Algebra and Trigonometry Structure and Method
\n" ); document.write( ": Can you please help me solve: A ferry service transporting passengers to an island charges a fare of $10 and carries 300 persons per day. The manager estimates that the company will lose 15 passengers for each increase of $1 in the fare. Find the fare that yields the greatest income. \n" ); document.write( "
Algebra.Com's Answer #53258 by stanbon(75887)\"\" \"About 
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Can you please help me solve: A ferry service transporting passengers to an island charges a fare of $10 and carries 300 persons per day. The manager estimates that the company will lose 15 passengers for each increase of $1 in the fare. Find the fare that yields the greatest income.
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\n" ); document.write( "Let \"x\" be the number of dollars the fare increases.
\n" ); document.write( "Then Income to the company =(10+x)(300-15x)
\n" ); document.write( "I(x) = -15x^2 +285x+3000
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\n" ); document.write( "This is a quadratic with a=-15 ; b=285 ; c=3000
\n" ); document.write( "Maximum income occurs when x=-b/2a = -285/-30=9.5
\n" ); document.write( "The fare when x=$9.50 is $19.50.
\n" ); document.write( "The Income will be maximum when fare is $19.50
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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