document.write( "Question 971002: A company manufactures and sells blank audio cassette tapes. The weekly fixed cost is $8,100 and it costs $0.30 to produce each tape. The selling price is $3.00 per tape. How many tapes must be produced and sold each week for the company to generate a profit?
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document.write( "a. more than 1,000 but less than 2,000
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document.write( "b. more than 2,000 less than 3,000
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document.write( "c. more than 3,000
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document.write( "d. less than 1,000 \n" );
document.write( "
Algebra.Com's Answer #593619 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! let the number of tapes = x\r \n" ); document.write( "\n" ); document.write( "Cost is 8100 + (0.30) x, units in dollars.\r \n" ); document.write( "\n" ); document.write( "Revenue is 3x\r \n" ); document.write( "\n" ); document.write( "8100 +0.30 x > 3x (profit is what is requested, not break even)\r \n" ); document.write( "\n" ); document.write( "8100 >2.70 x, subtracting 0.30 x from both sides\r \n" ); document.write( "\n" ); document.write( "divide by 2.70\r \n" ); document.write( "\n" ); document.write( "x > 3000\r \n" ); document.write( "\n" ); document.write( "At 3000 tapes, the cost is 8100 (0.3)*3000=$9000\r \n" ); document.write( "\n" ); document.write( "3000 tapes at $3/tape =$9000\r \n" ); document.write( "\n" ); document.write( "The answer is 3001. or >3000 \n" ); document.write( "Both work \n" ); document.write( "It is C.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |