document.write( "Question 195445: A perfectly competitve firm has total revenue and total cost curves given by:
\n" ); document.write( "TR = 100q
\n" ); document.write( "TC = 5000+2q+0.2Q^2\r
\n" ); document.write( "\n" ); document.write( "Find the profit-maximizing output
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Algebra.Com's Answer #146573 by vleith(2983)\"\" \"About 
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Find the maximum of the difference.
\n" ); document.write( "What is the maximum of TR - TC?
\n" ); document.write( "\"Profit+=+TR+-+TC\"
\n" ); document.write( "\"Profit+=+100q+-+%285000%2B2q%2B0.2q%5E2%29\"
\n" ); document.write( "\"Profit+=+-0.2q%5E2+%2B+98q+-+5000\"
\n" ); document.write( "Take the derivative and set to 0
\n" ); document.write( "\"0+=+-0.4q+%2B+98\"
\n" ); document.write( "\"-98%2F%28-0.4%29+=+q\"
\n" ); document.write( "\"245+=+q\"\r
\n" ); document.write( "\n" ); document.write( "or plot -0.2q^2 + 98q - 5000 using your calc and find the max
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