document.write( "Question 815773: The revenue of a charter bus company depends on the number of unsold seats. IF 100 seats are sold, the price is $50 per seat. Each unsold seat increases the price per seat by $1. Let x represent the number of unsold seats.
\n" ); document.write( "(a) write an expression for the number of seats sold.
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\n" ); document.write( "(d) Find the number of unsold seats that will produce the maximum revenue.
\n" ); document.write( "(e) Find the maximum revenue.\r
\n" ); document.write( "\n" ); document.write( "I've come up with the expression for (b) as follows p=50+x, but I'm not sure if that is correct. We are working on applications of quadratic functions and I don't understand the conecpts very well at all. \n" ); document.write( "

Algebra.Com's Answer #491206 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "IF 100 seats are sold, the price is $50 per seat.
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document.write( "Each unsold seat increases the price per seat by $1. 
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document.write( "Let x represent the number of unsold seats. 
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document.write( "(a) write an expression for the number of seats sold. (100-x)
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document.write( "(b) Write an expression for the price per seat. 
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document.write( "(c) Write an expression for the revenue. R = (100-x)(50+x)
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document.write( "(d) Find the number of unsold seats that will produce the maximum revenue.
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document.write( "    Revenue = 5000 + 50x - x^2  = -(x-25)^2 +625+ 5000 = -(x-25)^2 + 5625
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document.write( "Revenue= -(x-25)^2 + 5625 
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document.write( "Parabola V(25,5625)opening downward
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document.write( "  25 unsold tickets produces the maximum revenue
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document.write( "(e) Find the maximum revenue. $5625
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