document.write( "Question 455124: In the cost function below, C(x) is the cost of producing x itemsl Find the average cost per item when the number of items is produced.\r
\n" );
document.write( "\n" );
document.write( "C(x)=4.3x+9,300\r
\n" );
document.write( "\n" );
document.write( "What is the average cost per item when 200 items are produced?\r
\n" );
document.write( "\n" );
document.write( "What is the average cost per item when 2000 items are produced?\r
\n" );
document.write( "\n" );
document.write( "What is the average cost per item when 5000 items are produced?\r
\n" );
document.write( "\n" );
document.write( "I am so confused.\r
\n" );
document.write( "\n" );
document.write( "Thank you so much. \n" );
document.write( "
Algebra.Com's Answer #485122 by flyoung(1)![]() ![]() ![]() You can put this solution on YOUR website! The correct answer is: The way to find the AVERAGE cost per item is to use the cost equation and divide it by the number of items. For Example: \n" ); document.write( "the average cost = C(x)/x = (4.3x + 9,300)/x.\r \n" ); document.write( "\n" ); document.write( "So, if x = 200, \n" ); document.write( "the equation should be average cost = AC(x)= (4.3*(200)+9,300)/200 = 50.8\r \n" ); document.write( "\n" ); document.write( "if x=2000, \n" ); document.write( "AC(x) = (4.3*2000+9300)/2000 = 8.95\r \n" ); document.write( "\n" ); document.write( "If x=5000, \n" ); document.write( "AC(x) = (4.3*5000+9300)/5000 = 6.16\r \n" ); document.write( "\n" ); document.write( "Your question asks for the average cost PER ITEM, which is reasonable to assume that the cost would go down with more being made.\r \n" ); document.write( "\n" ); document.write( "Total Cost = Variable cost + Fixed cost or TC = VC + FC \n" ); document.write( "In your equation the fixed cost would be 9300. (set quantity x to zero and solve), while your variable cost would be 4.3x (the more you make the more it costs for supplies, etc). \n" ); document.write( "The previous tutor StanH actually gave you the answer for total cost, NOT average cost.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |