document.write( "Question 1172535: Suppose a bakery makes 200 cherry cheesecakes at a cost of $2.35 each. If a spoilage rate of 5% is anticipated, at what price (in $) should the cakes be sold to achieve a 40% markup based on cost? (Round your answer to the nearest cent.) \n" ); document.write( "
Algebra.Com's Answer #797604 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "5% of the 200 cakes they make will spoil. That's (0.05)(200) = 10 cakes that\r\n" ); document.write( "will spoil.\r\n" ); document.write( "\r\n" ); document.write( "So they will only be able to sell 200-10 or 190 cakes.\r\n" ); document.write( "\r\n" ); document.write( "It's going to cost them (200)($2.35) = $470 to make the 200 cakes.\r\n" ); document.write( "\r\n" ); document.write( "The 40% profit they want to make will be (0.40)($470) = $188.\r\n" ); document.write( "\r\n" ); document.write( "So they want to be able to take in $470 + $188 = $658.\r\n" ); document.write( "\r\n" ); document.write( "So they want to sell 190 cakes and take in $658.\r\n" ); document.write( "\r\n" ); document.write( "So they will have to sell each cake at $658รท190 = $3.463157895 each,\r\n" ); document.write( " \r\n" ); document.write( "Even though the rule says we should round down to $3.46 each, that\r\n" ); document.write( "would give a small amount less than the 40% markup, so they'll have to\r\n" ); document.write( "charge $3.47 each, which will give them a little more than 40% markup.\r\n" ); document.write( " \r\n" ); document.write( "Edwin\n" ); document.write( " |