document.write( "Question 866743: The owner of a resort offers an organization a 3-day vacation package promo for $5 000 per person if not more than 100 people will take the promo. However, he is willing to reduce the cost per person by $25 for every person in excess of 100. How many people should take the promo in order for him to receive the largest revenue? \n" ); document.write( "
Algebra.Com's Answer #522660 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The owner of a resort offers an organization a 3-day vacation package promo for $5 000 per person if not more than 100 people will take the promo. \n" ); document.write( " However, he is willing to reduce the cost per person by $25 for every person in excess of 100. \n" ); document.write( " How many people should take the promo in order for him to receive the largest revenue? \n" ); document.write( ": \n" ); document.write( "Let x = no. of persons over 100 \n" ); document.write( "Let y = total revenue \n" ); document.write( ": \n" ); document.write( "y = (5000-25x)*(100+x) \n" ); document.write( "FOIL \n" ); document.write( "y = 500000 + 5000x - 2500x - 25x^2 \n" ); document.write( "A quadratic equation \n" ); document.write( "y = -25x^ + 2500x + 500000 \n" ); document.write( "The axis of symmetry, x will give max revenue x = -b/(2a) \n" ); document.write( "x = \n" ); document.write( "x = +50 \n" ); document.write( "we can say 150 people will give max revenue \n" ); document.write( " |