document.write( "Question 161581: Can someone help me with this problem please\r
\n" ); document.write( "\n" ); document.write( "Back Packs, Inc., finds that the cost to make x back packs is C = 129x + 6687, while the revenue produced from them is R = 171x (C and R are in dollars). What is the smallest whole number of backpacks, x, that must be sold for the company to show a profit?\r
\n" ); document.write( "\n" ); document.write( "160
\n" ); document.write( "23
\n" ); document.write( "280,854 or
\n" ); document.write( "2,006,100
\n" ); document.write( "

Algebra.Com's Answer #119048 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
When \"C+=+R\", Cost equals Revenue, that is the break-even point. If
\n" ); document.write( "you sell 1 more backpack, you will show the smallest profit possible.
\n" ); document.write( "\"C+=+129x+%2B+6687\"
\n" ); document.write( "\"R+=+171x\"
\n" ); document.write( "\"C+=+R\"
\n" ); document.write( "\"129x+%2B+6687+=+171x\"
\n" ); document.write( "Subtract \"129x\" from both sides
\n" ); document.write( "\"42x+=+6687\"
\n" ); document.write( "\"x+=+159\" to the nearest whole number
\n" ); document.write( "Let Profit = \"P\"
\n" ); document.write( "\"P+=+R+-+C\"
\n" ); document.write( "I'll find the Profit for 158 backpacks, which should be negative
\n" ); document.write( "and for 160 backpacks which should be positive
\n" ); document.write( "\"P+=+171x+-+%28129x+%2B+6687%29\"
\n" ); document.write( "\"P+=+171x+-+129x+-+6687\"
\n" ); document.write( "\"P+=+42x+-+6687\"
\n" ); document.write( "\"P%5B1%5D+=+42%2A158+-+6687\"
\n" ); document.write( "\"P%5B1%5D+=+6636+-+6687\"
\n" ); document.write( "\"P%5B1%5D+=+-51\"
\n" ); document.write( "\"P%5B2%5D+=+42%2A160+-+6687\"
\n" ); document.write( "\"P%5B2%5D+=+6720+-+6687\"
\n" ); document.write( "\"P%5B2%5D+=+33\"
\n" ); document.write( "If 160 backpacks are sold, the profit will be $33, the smallest possible
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