document.write( "Question 258835: In order for a company to realize a profit in the manufacture and sale of a certain item, the revenue, R, for selling X items must be greater than the cost, C, of producing x items. If R=79.99x and C=61x+1050, for what values of x will this product return profit? \n" ); document.write( "
Algebra.Com's Answer #190601 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! In order for a company to realize a profit in the manufacture and sale of a certain item, the revenue, R, for selling X items must be greater than the cost, C, of producing x items. \n" ); document.write( " If R=79.99x and C=61x+1050, for what values of x will this product return profit? \n" ); document.write( ": \n" ); document.write( "Profit occurs when Revenue is greater than Cost; R > C \n" ); document.write( "79.99x > 61x + 1050 \n" ); document.write( ": \n" ); document.write( "79.99 - 61x > 1050 \n" ); document.write( ": \n" ); document.write( "18.99x > 1050 \n" ); document.write( "x > \n" ); document.write( "x > 55.3 \n" ); document.write( "We can say it returns a profit when 56 or more items are sold \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check this when x = 56 \n" ); document.write( "79.99(56) = 4,479.44 \n" ); document.write( "61(56) + 1050 = 4,466.00 \n" ); document.write( "---------------------------- \n" ); document.write( "a profit of $13.44 \n" ); document.write( "however, \n" ); document.write( "when x = 55 items sold \n" ); document.write( "79.99(55) = 4399.45 \n" ); document.write( "61(55) + 1050 = 4405 \n" ); document.write( "-------------------- \n" ); document.write( "a loss of $5.55 \n" ); document.write( " |