document.write( "Question 832172: The cost to produce one compact disc is $1.75 plus a one-time fixed cost of $2500. The revenue received from selling one compact disc is $12.\r
\n" );
document.write( "\n" );
document.write( "Write a formula that gives the cost C of producing x compact discs. Be sure to include the fixed cost.\r
\n" );
document.write( "\n" );
document.write( "Write a formula that gives the revenue R from selling x compact discs.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "PROFITABILITY occurs when Revenue is greater than Cost. Write an inequality representing the point at which PROFITABILITY is achieved.\r
\n" );
document.write( "\n" );
document.write( "Solve the inequality from part ‘c’ to find how many compact discs must be sold to reach PROFITABILITY. \n" );
document.write( "
Algebra.Com's Answer #501877 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! The cost to produce a disk is: \n" ); document.write( "2500 + 1.75x = C \n" ); document.write( "That's the fixed cost + the variable cost. \n" ); document.write( "How much can you make? \n" ); document.write( "R = 12x - (2500+1.75x) \n" ); document.write( "You can also write it as \n" ); document.write( "R = 12x - c \n" ); document.write( ". \n" ); document.write( "When does cost equal revenue? Let's find out \n" ); document.write( "The profit on each disk is $12-1.75 or $10.25 \n" ); document.write( "When does that meet the fixed cost of 2500? \n" ); document.write( "Divide 2500 / 10.25 \n" ); document.write( "Since you don't sell part of a disk, round up. \n" ); document.write( "2500/10.25= ~244 \n" ); document.write( " \n" ); document.write( " |