document.write( "Question 1203498: A company estimates that 1% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350.\r
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document.write( "If they want to offer a 2 year extended warranty, what price should they charge so that they'll break even (in other words, so the expected profit will be 0)\r
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Algebra.Com's Answer #839109 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A company estimates that 1% of their products will fail after the original warranty period \n" ); document.write( "but within 2 years of the purchase, with a replacement cost of $350. \n" ); document.write( "If they want to offer a 2 year extended warranty, what price should they charge \n" ); document.write( "so that they'll break even (in other words, so the expected profit will be 0) \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The company's cost to replace 1% of their production (which potentially will fail\r\n" ); document.write( "after the original warranty period but within 2 years of the purchase) is\r\n" ); document.write( "\r\n" ); document.write( " 0.01*350*X dollars, where X is the rate of produced and sold units per year.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Let z be the extended insurance price in dollars per unit.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In order for the profit be zero, this equation should kept\r\n" ); document.write( "\r\n" ); document.write( " 0.01*350*X = z*X,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "which gives, after canceling factor X in both sides, z = 0.01*350 = 3.5 dollars per item.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. Under given conditions, the extended insurance price is $3.50 per item.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |