document.write( "Question 896679: a distributor of apple juice has 5000 bottle in the store that it wishes to distribute in a month. from experience it is known that demand D (in number of bottles) is given by D = -2000pē + 2000p + 1700. the price per bottle that will result zero inventory is \n" ); document.write( "
Algebra.Com's Answer #543705 by Theo(13342)![]() ![]() You can put this solution on YOUR website! your demand equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = -2000p^2 + 2000p + 1700.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you want to find the value of p when d = 5000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "unfortunately you won't be able to find it because the maximum value of that equation is 2200 when p = .5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that demand equation can never reach 5000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to solve this graphically, i graphed the equation of y = -2000x^2 + 2000x + 1700 and i graphed the equation of y = 5000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i changed p to x and d to y in order to be able to graph it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "these are just name changed and have no impact on the values that the equation will provide.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the intersection of those 2 graphs would be your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "unfortunately they don't intersect because the maximum value of the demand graph is 1700.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's the graph:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |