document.write( "Question 53971: In planning for a new item, a manufacturer assumes that the number of items produced X and the cost of dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce.Find the equation that relates to C and X.\r
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document.write( "McGraw Hill 6th edition. CH. 7.3 Problem # 52.
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Algebra.Com's Answer #36228 by stanbon(75887) ![]() You can put this solution on YOUR website! Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce.Find the equation that relates to C and X. \n" ); document.write( "----------- \n" ); document.write( "You have two points: (100,10000) and (300,22000) \n" ); document.write( "The slope is [22000-10000]/[300-100]= 12000/200=60 \n" ); document.write( "The form is C=mX+b; you need to find \"b\". \n" ); document.write( "10000=60(100)+b \n" ); document.write( "10000=6000+b \n" ); document.write( "b=4000 \n" ); document.write( "EQUATION: \n" ); document.write( "Cost=60X+4000 \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |