document.write( "Question 831340: You sell widgets. Your equipment costs you a total of $1000. Each widget costs $100 to make, and you sell it for $200.
\n" );
document.write( "What is your revenue for selling X widgets?
\n" );
document.write( "What is your cost for making X widgets?
\n" );
document.write( "What is your profit for selling X widgets?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #501254 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Your fixed cost is $1000. Whether you make 1 or 1,000,000 widgets, this doesn't change. $100 * x is your variable cost. It changes based upon how many widgets you make. \n" ); document.write( ". \n" ); document.write( "The formula, therefore, is: \n" ); document.write( "Cost of making x widgets = 1000 (fixed) + x*100 \n" ); document.write( "Cost = 1000 + 100x \n" ); document.write( ". \n" ); document.write( "The revenue is the gross amount you take in. Since each of them costs $200, it would be: \n" ); document.write( "Revenue = 200x \n" ); document.write( ". \n" ); document.write( "Your profit seems like a lot (100 on each item). That's the case if you sell a lot. But if you only sell a few, you'll be in the red due to your fixed cost. \n" ); document.write( "Profit = Revenue - Cost \n" ); document.write( "P = 200x - (1000+100x) \n" ); document.write( ". \n" ); document.write( "Let's see how this works in the real world. \n" ); document.write( "If you see 10 widgets, your revenue is 10*200=2000 \n" ); document.write( "Your cost would be 1000(fixed) + 10*100(variable) or 2000 \n" ); document.write( "Profit = 0 \n" ); document.write( "This is your break-even point. \n" ); document.write( ". \n" ); document.write( "However, if you have a great marketing department and a great product, let's say you sell 90. \n" ); document.write( "Revenue = 90*200 = 18000 \n" ); document.write( "Cost would be 1000(fixed) + 90*100(variable), or 11000 \n" ); document.write( "Profit = 7000 \n" ); document.write( " \n" ); document.write( " |